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9880141968 = 2433193732533
BaseRepresentation
bin10010011001110011…
…10000000010010000
3221111120020012211000
421030321300002100
5130213304020333
64312221422000
7466560551424
oct111471600220
927446205730
109880141968
11421009a994
121ab8a0a900
13c15c13068
1469a282b84
153cc5d4713
hex24ce70090

9880141968 has 160 divisors (see below), whose sum is σ = 30660041600. Its totient is φ = 3035625984.

The previous prime is 9880141963. The next prime is 9880142017. The reversal of 9880141968 is 8691410889.

9880141968 is a `hidden beast` number, since 98 + 80 + 1 + 419 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (9880141963) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 287430 + ... + 319962.

It is an arithmetic number, because the mean of its divisors is an integer number (191625260).

Almost surely, 29880141968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9880141968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15330020800).

9880141968 is an abundant number, since it is smaller than the sum of its proper divisors (20779899632).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9880141968 is a wasteful number, since it uses less digits than its factorization.

9880141968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32606 (or 32594 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 54.

The square root of 9880141968 is about 99398.9032535068. The cubic root of 9880141968 is about 2145.7925263531.

The spelling of 9880141968 in words is "nine billion, eight hundred eighty million, one hundred forty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 37 38 48 54 57 72 74 76 108 111 114 144 148 152 171 216 222 228 296 304 333 342 432 444 456 513 592 666 684 703 888 912 999 1026 1332 1368 1406 1776 1998 2052 2109 2664 2736 2812 3996 4104 4218 5328 5624 6327 7992 8208 8436 11248 12654 15984 16872 18981 25308 32533 33744 37962 50616 65066 75924 97599 101232 130132 151848 195198 260264 292797 303696 390396 520528 585594 618127 780792 878391 1171188 1203721 1236254 1561584 1756782 1854381 2342376 2407442 2472508 3513564 3611163 3708762 4684752 4814884 4945016 5563143 7027128 7222326 7417524 9629768 9890032 10833489 11126286 14054256 14444652 14835048 16689429 19259536 21666978 22252572 22870699 28889304 29670096 32500467 33378858 43333956 44505144 45741398 57778608 65000934 66757716 68612097 86667912 89010288 91482796 130001868 133515432 137224194 173335824 182965592 205836291 260003736 267030864 274448388 365931184 411672582 520007472 548896776 617508873 823345164 1097793552 1235017746 1646690328 2470035492 3293380656 4940070984 9880141968