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1005413425104 = 243113041626173
BaseRepresentation
bin11101010000101110100…
…11110101111111010000
310120010010222201220200010
432220113103311333100
5112433041314100404
62045514110554520
7132432040051344
oct16502723657720
93503128656603
101005413425104
11358436738340
12142a32b08a40
1373a6b98956a
143693b3a5624
151b246b34189
hexea174f5fd0

1005413425104 has 80 divisors (see below), whose sum is σ = 2834374106304. Its totient is φ = 304570060800.

The previous prime is 1005413425103. The next prime is 1005413425139. The reversal of 1005413425104 is 4015243145001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005413425103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1292562 + ... + 1918734.

Almost surely, 21005413425104 is an apocalyptic number.

It is an amenable number.

1005413425104 is an abundant number, since it is smaller than the sum of its proper divisors (1828960681200).

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

1005413425104 is a wasteful number, since it uses less digits than its factorization.

1005413425104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629236 (or 629230 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 1005413425104 in words is "one trillion, five billion, four hundred thirteen million, four hundred twenty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 3041 6082 9123 12164 18246 24328 33451 36492 48656 66902 72984 100353 133804 145968 200706 267608 401412 535216 626173 802824 1252346 1605648 1878519 2504692 3757038 5009384 6887903 7514076 10018768 13775806 15028152 20663709 27551612 30056304 41327418 55103224 82654836 110206448 165309672 330619344 1904192093 3808384186 5712576279 7616768372 11425152558 15233536744 20946113023 22850305116 30467073488 41892226046 45700610232 62838339069 83784452092 91401220464 125676678138 167568904184 251353356276 335137808368 502706712552 1005413425104