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145647233160 = 233511136122281
BaseRepresentation
bin1000011110100101000…
…0000110100010001000
3111220221101222001021220
42013221100012202020
54341241142430120
6150524233402040
713344163024632
oct2075120064210
9456841861256
10145647233160
115685007aa90
1224288b69320
1310971846390
14709964da52
153bc68c5b40
hex21e9406888

145647233160 has 384 divisors, whose sum is σ = 522112106880. Its totient is φ = 32044032000.

The previous prime is 145647233087. The next prime is 145647233183. The reversal of 145647233160 is 61332746541.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 63851220 + ... + 63853500.

It is an arithmetic number, because the mean of its divisors is an integer number (1359666945).

Almost surely, 2145647233160 is an apocalyptic number.

145647233160 is a gapful number since it is divisible by the number (10) 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 145647233160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261056053440).

145647233160 is an abundant number, since it is smaller than the sum of its proper divisors (376464873720).

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

145647233160 is a wasteful number, since it uses less digits than its factorization.

145647233160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2441 (or 2376 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 145647233160 in words is "one hundred forty-five billion, six hundred forty-seven million, two hundred thirty-three thousand, one hundred sixty".