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151045361456 = 24118310339907
BaseRepresentation
bin1000110010101100000…
…0010100111100110000
3112102212121111101012112
42030223000110330300
54433320103031311
6153220030144452
713625021250203
oct2145300247460
9472777441175
10151045361456
1159070194740
1225334952128
131132200c632
14744c54993a
153de077128b
hex232b014f30

151045361456 has 40 divisors (see below), whose sum is σ = 323101445184. Its totient is φ = 67829783360.

The previous prime is 151045361419. The next prime is 151045361459. The reversal of 151045361456 is 654163540151.

It is not an unprimeable number, because it can be changed into a prime (151045361459) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5155346 + ... + 5184561.

Almost surely, 2151045361456 is an apocalyptic number.

151045361456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

151045361456 is an abundant number, since it is smaller than the sum of its proper divisors (172056083728).

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

151045361456 is a wasteful number, since it uses less digits than its factorization.

151045361456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10340009 (or 10340003 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 41.

The spelling of 151045361456 in words is "one hundred fifty-one billion, forty-five million, three hundred sixty-one thousand, four hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 44 83 88 166 176 332 664 913 1328 1826 3652 7304 14608 10339907 20679814 41359628 82719256 113738977 165438512 227477954 454955908 858212281 909911816 1716424562 1819823632 3432849124 6865698248 9440335091 13731396496 18880670182 37761340364 75522680728 151045361456