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151430983104 = 2631193661109
BaseRepresentation
bin1000110100000111111…
…1010110110111000000
3112110212111002222122210
42031001333112313000
54440112312424404
6153322203302120
713640413055442
oct2150177266700
9473774088583
10151430983104
1159248929a15
1225421b1a940
1311383b8851b
14748784a492
153e14544689
hex2341fd6dc0

151430983104 has 56 divisors (see below), whose sum is σ = 400997592720. Its totient is φ = 50434607104.

The previous prime is 151430983063. The next prime is 151430983111. The reversal of 151430983104 is 401389034151.

151430983104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 101499 + ... + 559610.

Almost surely, 2151430983104 is an apocalyptic number.

It is an amenable number.

151430983104 is an abundant number, since it is smaller than the sum of its proper divisors (249566609616).

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

151430983104 is a wasteful number, since it uses less digits than its factorization.

151430983104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662317 (or 662307 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The spelling of 151430983104 in words is "one hundred fifty-one billion, four hundred thirty million, nine hundred eighty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 1193 2386 3579 4772 7158 9544 14316 19088 28632 38176 57264 76352 114528 229056 661109 1322218 1983327 2644436 3966654 5288872 7933308 10577744 15866616 21155488 31733232 42310976 63466464 126932928 788703037 1577406074 2366109111 3154812148 4732218222 6309624296 9464436444 12619248592 18928872888 25238497184 37857745776 50476994368 75715491552 151430983104