Search a number
-
+
992035705104 = 24341419753917
BaseRepresentation
bin11100110111110011110…
…11111001000100010000
310111211121200012022210000
432123321323321010100
5112223142120030404
62035422424010000
7131446366235253
oct16337173710420
93454550168700
10992035705104
113527a13252a4
1214031a900900
1372719277402
143602c7d509a
151ac12470339
hexe6f9ef9110

992035705104 has 100 divisors (see below), whose sum is σ = 2871494642764. Its totient is φ = 330649143552.

The previous prime is 992035705097. The next prime is 992035705121. The reversal of 992035705104 is 401507530299.

It is a happy number.

992035705104 is a `hidden beast` number, since 9 + 9 + 20 + 3 + 570 + 51 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 587982240000 + 404053465104 = 766800^2 + 635652^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 992035705104.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18372354 + ... + 18426270.

Almost surely, 2992035705104 is an apocalyptic number.

It is an amenable number.

992035705104 is an abundant number, since it is smaller than the sum of its proper divisors (1879458937660).

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

992035705104 is a wasteful number, since it uses less digits than its factorization.

992035705104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68134 (or 68119 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 992035705104 in words is "nine hundred ninety-two billion, thirty-five million, seven hundred five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 14197 28394 42591 53917 56788 85182 107834 113576 127773 161751 170364 215668 227152 255546 323502 340728 383319 431336 485253 511092 647004 681456 766638 862672 970506 1022184 1149957 1294008 1455759 1533276 1941012 2044368 2299914 2588016 2911518 3066552 3882024 4367277 4599828 5823036 6133104 7764048 8734554 9199656 11646072 17469108 18399312 23292144 34938216 69876432 765459649 1530919298 2296378947 3061838596 4592757894 6123677192 6889136841 9185515788 12247354384 13778273682 18371031576 20667410523 27556547364 36742063152 41334821046 55113094728 62002231569 82669642092 110226189456 124004463138 165339284184 248008926276 330678568368 496017852552 992035705104