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23014872287232 = 211373172233153
BaseRepresentation
bin1010011101110100100010…
…10010011000100000000000
310000111012102000120020210220
411032322101102120200000
511004033424301142412
6120540515242223040
74563524663442000
oct516722122304000
9100435360506726
1023014872287232
117373609456291
1226b852a1b4a80
13cac3a70652a7
14597cd6412000
1529da0a0b368c
hex14ee91498800

23014872287232 has 2304 divisors, whose sum is σ = 83419435008000. Its totient is φ = 5620739604480.

The previous prime is 23014872287171. The next prime is 23014872287273. The reversal of 23014872287232 is 23278227841032.

It is a super-2 number, since 2×230148722872322 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 434242873318 + ... + 434242873370.

It is an arithmetic number, because the mean of its divisors is an integer number (36206352000).

Almost surely, 223014872287232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23014872287232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41709717504000).

23014872287232 is an abundant number, since it is smaller than the sum of its proper divisors (60404562720768).

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

23014872287232 is a wasteful number, since it uses less digits than its factorization.

23014872287232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 51.

The spelling of 23014872287232 in words is "twenty-three trillion, fourteen billion, eight hundred seventy-two million, two hundred eighty-seven thousand, two hundred thirty-two".