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191081992948 = 227116718115113
BaseRepresentation
bin1011000111110101011…
…1111101001011110100
3200021012211110222122221
42301331113331023310
511112313442233243
6223440514132124
716543122066310
oct2617527751364
9607184428587
10191081992948
1174045892540
1231048b81044
1315032849422
149369930b40
154e85591bed
hex2c7d5fd2f4

191081992948 has 96 divisors (see below), whose sum is σ = 423445091328. Its totient is φ = 73281542400.

The previous prime is 191081992901. The next prime is 191081992949. The reversal of 191081992948 is 849299180191.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (191081992949) 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, 37369240 + ... + 37374352.

It is an arithmetic number, because the mean of its divisors is an integer number (4410886368).

Almost surely, 2191081992948 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 191081992948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211722545664).

191081992948 is an abundant number, since it is smaller than the sum of its proper divisors (232363098380).

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

191081992948 is a wasteful number, since it uses less digits than its factorization.

191081992948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7013 (or 7011 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 61.

The spelling of 191081992948 in words is "one hundred ninety-one billion, eighty-one million, nine hundred ninety-two thousand, nine hundred forty-eight".

Divisors: 1 2 4 7 11 14 22 28 44 67 77 134 154 268 308 469 737 938 1474 1811 1876 2948 3622 5113 5159 7244 10226 10318 12677 19921 20452 20636 25354 35791 39842 50708 56243 71582 79684 112486 121337 139447 143164 224972 242674 278894 342571 393701 485348 557788 685142 787402 849359 1334707 1370284 1574804 1698718 2397997 2669414 3397436 3768281 4795994 5338828 7536562 9259643 9342949 9591988 15073124 18519286 18685898 26377967 37038572 37371796 52755934 64817501 101856073 105511868 129635002 203712146 259270004 407424292 620396081 712992511 1240792162 1425985022 2481584324 2851970044 4342772567 6824356891 8685545134 13648713782 17371090268 27297427564 47770498237 95540996474 191081992948