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151231934976 = 293223441517
BaseRepresentation
bin1000110011011000100…
…0000011001000000000
3112110100121120021221220
42030312020003020000
54434210333404401
6153250333115040
713632445144263
oct2146610031000
9473317507856
10151231934976
1159156537131
1225387328a80
1311351875575
147469234cda
153e01d27336
hex2336203200

151231934976 has 80 divisors (see below), whose sum is σ = 404698930944. Its totient is φ = 50184474624.

The previous prime is 151231934923. The next prime is 151231934993. The reversal of 151231934976 is 679439132151.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121770 + ... + 563286.

Almost surely, 2151231934976 is an apocalyptic number.

151231934976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151231934976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202349465472).

151231934976 is an abundant number, since it is smaller than the sum of its proper divisors (253466995968).

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

151231934976 is an equidigital number, since it uses as much as digits as its factorization.

151231934976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441761 (or 441745 counting only the distinct ones).

The product of its digits is 1224720, while the sum is 51.

The spelling of 151231934976 in words is "one hundred fifty-one billion, two hundred thirty-one million, nine hundred thirty-four thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 223 256 384 446 512 669 768 892 1338 1536 1784 2676 3568 5352 7136 10704 14272 21408 28544 42816 57088 85632 114176 171264 342528 441517 883034 1324551 1766068 2649102 3532136 5298204 7064272 10596408 14128544 21192816 28257088 42385632 56514176 84771264 98458291 113028352 169542528 196916582 226056704 295374873 339085056 393833164 590749746 678170112 787666328 1181499492 1575332656 2362998984 3150665312 4725997968 6301330624 9451995936 12602661248 18903991872 25205322496 37807983744 50410644992 75615967488 151231934976