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991108872 = 233413294057
BaseRepresentation
bin111011000100110…
…001111100001000
32120001221112210000
4323010301330020
54012210440442
6242202523000
733363200145
oct7304617410
92501845700
10991108872
11469500846
12237b06460
1312a446270
14958b53cc
155c026d4c
hex3b131f08

991108872 has 160 divisors (see below), whose sum is σ = 3093413400. Its totient is φ = 294368256.

The previous prime is 991108871. The next prime is 991108873. The reversal of 991108872 is 278801199.

It is an interprime number because it is at equal distance from previous prime (991108871) and next prime (991108873).

It can be written as a sum of positive squares in 4 ways, for example, as 702992196 + 288116676 = 26514^2 + 16974^2 .

It is a super-2 number, since 2×9911088722 = 1964593592314224768, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (991108871) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 242268 + ... + 246324.

Almost surely, 2991108872 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 991108872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1546706700).

991108872 is an abundant number, since it is smaller than the sum of its proper divisors (2102304528).

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

991108872 is a wasteful number, since it uses less digits than its factorization.

991108872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4117 (or 4104 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 45.

The square root of 991108872 is about 31481.8816464328. The cubic root of 991108872 is about 997.0274634482.

The spelling of 991108872 in words is "nine hundred ninety-one million, one hundred eight thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 29 36 39 52 54 58 72 78 81 87 104 108 116 117 156 162 174 216 232 234 261 312 324 348 351 377 468 522 648 696 702 754 783 936 1044 1053 1131 1404 1508 1566 2088 2106 2262 2349 2808 3016 3132 3393 4057 4212 4524 4698 6264 6786 8114 8424 9048 9396 10179 12171 13572 16228 18792 20358 24342 27144 30537 32456 36513 40716 48684 52741 61074 73026 81432 97368 105482 109539 117653 122148 146052 158223 210964 219078 235306 244296 292104 316446 328617 352959 421928 438156 470612 474669 632892 657234 705918 876312 941224 949338 1058877 1265784 1314468 1411836 1424007 1529489 1898676 2117754 2628936 2823672 2848014 3058978 3176631 3797352 4235508 4272021 4588467 5696028 6117956 6353262 8471016 8544042 9176934 9529893 11392056 12235912 12706524 13765401 17088084 18353868 19059786 25413048 27530802 34176168 36707736 38119572 41296203 55061604 76239144 82592406 110123208 123888609 165184812 247777218 330369624 495554436 991108872