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2669076036 = 22371127737
BaseRepresentation
bin1001111100010110…
…1101111001000100
320220000100010000000
42133011231321010
520431240413121
61120503321300
7123066525534
oct23705557104
96800303000
102669076036
11114a695370
12625a50230
13336c7a043
141b46a34c4
151094c7526
hex9f16de44

2669076036 has 96 divisors (see below), whose sum is σ = 7642373760. Its totient is φ = 808781760.

The previous prime is 2669076031. The next prime is 2669076049. The reversal of 2669076036 is 6306709662.

It is a junction number, because it is equal to n+sod(n) for n = 2669075982 and 2669076000.

It is not an unprimeable number, because it can be changed into a prime (2669076031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82360 + ... + 110096.

It is an arithmetic number, because the mean of its divisors is an integer number (79608060).

Almost surely, 22669076036 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 2669076036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3821186880).

2669076036 is an abundant number, since it is smaller than the sum of its proper divisors (4973297724).

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

2669076036 is a wasteful number, since it uses less digits than its factorization.

2669076036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27773 (or 27753 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The square root of 2669076036 is about 51663.1013006382. The cubic root of 2669076036 is about 1387.1400638308.

The spelling of 2669076036 in words is "two billion, six hundred sixty-nine million, seventy-six thousand, thirty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 243 297 324 396 486 594 729 891 972 1188 1458 1782 2187 2673 2916 3564 4374 5346 8019 8748 10692 16038 24057 27737 32076 48114 55474 83211 96228 110948 166422 249633 305107 332844 499266 610214 748899 915321 998532 1220428 1497798 1830642 2246697 2745963 2995596 3661284 4493394 5491926 6740091 8237889 8986788 10983852 13480182 16475778 20220273 24713667 26960364 32951556 40440546 49427334 60660819 74141001 80881092 98854668 121321638 148282002 222423003 242643276 296564004 444846006 667269009 889692012 1334538018 2669076036