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91849086208 = 28111719100981
BaseRepresentation
bin101010110001010100…
…0011101010100000000
322210002010021000112201
41111202220131110000
53001101331224313
6110110032402544
76431051231305
oct1254250352400
9283063230481
1091849086208
1135a53461a10
12159740a6454
138879c3a829
1446347110ac
1525c887e0dd
hex1562a1d500

91849086208 has 144 divisors (see below), whose sum is σ = 222919784640. Its totient is φ = 37225267200.

The previous prime is 91849086181. The next prime is 91849086211. The reversal of 91849086208 is 80268094819.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 859078 + ... + 960058.

It is an arithmetic number, because the mean of its divisors is an integer number (1548054060).

Almost surely, 291849086208 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 91849086208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111459892320).

91849086208 is an abundant number, since it is smaller than the sum of its proper divisors (131070698432).

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

91849086208 is a wasteful number, since it uses less digits than its factorization.

91849086208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101044 (or 101030 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 55.

The spelling of 91849086208 in words is "ninety-one billion, eight hundred forty-nine million, eighty-six thousand, two hundred eight".

Divisors: 1 2 4 8 11 16 17 19 22 32 34 38 44 64 68 76 88 128 136 152 176 187 209 256 272 304 323 352 374 418 544 608 646 704 748 836 1088 1216 1292 1408 1496 1672 2176 2432 2584 2816 2992 3344 3553 4352 4864 5168 5984 6688 7106 10336 11968 13376 14212 20672 23936 26752 28424 41344 47872 53504 56848 82688 100981 113696 201962 227392 403924 454784 807848 909568 1110791 1615696 1716677 1918639 2221582 3231392 3433354 3837278 4443164 6462784 6866708 7674556 8886328 12925568 13733416 15349112 17772656 18883447 21105029 25851136 27466832 30698224 32616863 35545312 37766894 42210058 54933664 61396448 65233726 71090624 75533788 84420116 109867328 122792896 130467452 142181248 151067576 168840232 219734656 245585792 260934904 284362496 302135152 337680464 358785493 439469312 491171584 521869808 604270304 675360928 717570986 1043739616 1208540608 1350721856 1435141972 2087479232 2417081216 2701443712 2870283944 4174958464 4834162432 5402887424 5740567888 8349916928 11481135776 22962271552 45924543104 91849086208