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991098368 = 29131719461
BaseRepresentation
bin111011000100101…
…111011000000000
32120001221000100222
4323010233120000
54012210121433
6242202402212
733363124421
oct7304573000
92501830328
10991098368
114694a3967
12237b00368
1312a441550
14958b1648
155c023b98
hex3b12f600

991098368 has 160 divisors (see below), whose sum is σ = 2382035040. Its totient is φ = 406978560.

The previous prime is 991098337. The next prime is 991098389. The reversal of 991098368 is 863890199.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2149658 + ... + 2150118.

It is an arithmetic number, because the mean of its divisors is an integer number (14887719).

Almost surely, 2991098368 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 991098368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1191017520).

991098368 is an abundant number, since it is smaller than the sum of its proper divisors (1390936672).

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

991098368 is a wasteful number, since it uses less digits than its factorization.

991098368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 53.

The square root of 991098368 is about 31481.7148198760. The cubic root of 991098368 is about 997.0239411936.

The spelling of 991098368 in words is "nine hundred ninety-one million, ninety-eight thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 13 16 17 19 26 32 34 38 52 64 68 76 104 128 136 152 208 221 247 256 272 304 323 416 442 461 494 512 544 608 646 832 884 922 988 1088 1216 1292 1664 1768 1844 1976 2176 2432 2584 3328 3536 3688 3952 4199 4352 4864 5168 5993 6656 7072 7376 7837 7904 8398 8704 8759 9728 10336 11986 14144 14752 15674 15808 16796 17518 20672 23972 28288 29504 31348 31616 33592 35036 41344 47944 56576 59008 62696 63232 67184 70072 82688 95888 101881 113152 113867 118016 125392 126464 134368 140144 148903 165376 191776 203762 227734 236032 250784 268736 280288 297806 383552 407524 455468 501568 537472 560576 595612 767104 815048 910936 1003136 1074944 1121152 1191224 1534208 1630096 1821872 1935739 2006272 2149888 2242304 2382448 3068416 3260192 3643744 3871478 4012544 4484608 4764896 6520384 7287488 7742956 9529792 13040768 14574976 15485912 19059584 26081536 29149952 30971824 38119168 52163072 58299904 61943648 76238336 123887296 247774592 495549184 991098368