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151968586440 = 233511115127717
BaseRepresentation
bin1000110110001000001…
…0001001101011001000
3112112020221201001210110
42031202002021223020
54442212424231230
6153451410114320
713656631446216
oct2154202115310
9475227631713
10151968586440
11594a433a2a0
1225551b7b9a0
131143b3782c8
1474d8dcdcb6
153e468394b0
hex2362089ac8

151968586440 has 64 divisors (see below), whose sum is σ = 497351741760. Its totient is φ = 36840869120.

The previous prime is 151968586433. The next prime is 151968586493. The reversal of 151968586440 is 44685869151.

It is a happy number.

It is a super-5 number, since 5×1519685864405 (a number of 57 digits) contains 55555 as substring. Note that it is a super-d number also for d = 3.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57562539 + ... + 57565178.

It is an arithmetic number, because the mean of its divisors is an integer number (7771120965).

Almost surely, 2151968586440 is an apocalyptic number.

151968586440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151968586440 is an abundant number, since it is smaller than the sum of its proper divisors (345383155320).

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

151968586440 is a wasteful number, since it uses less digits than its factorization.

151968586440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115127742 (or 115127738 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 57.

The spelling of 151968586440 in words is "one hundred fifty-one billion, nine hundred sixty-eight million, five hundred eighty-six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 115127717 230255434 345383151 460510868 575638585 690766302 921021736 1151277170 1266404887 1381532604 1726915755 2302554340 2532809774 2763065208 3453831510 3799214661 4605108680 5065619548 6332024435 6907663020 7598429322 10131239096 12664048870 13815326040 15196858644 18996073305 25328097740 30393717288 37992146610 50656195480 75984293220 151968586440