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23282275693824 = 2832717324113461
BaseRepresentation
bin1010100101100110100111…
…10001011011010100000000
310001102202121211020202122200
411102303103301123110000
511022424100034200244
6121303421345233200
74622042332053330
oct522632361332400
9101382554222580
1023282275693824
117466a59730494
122740317032800
13ccb68087c5b4
145a6c223130c0
152a595abdc669
hex152cd3c5b500

23282275693824 has 432 divisors, whose sum is σ = 77216098587264. Its totient is φ = 6608974233600.

The previous prime is 23282275693813. The next prime is 23282275693879. The reversal of 23282275693824 is 42839657228232.

23282275693824 is a `hidden beast` number, since 2 + 3 + 28 + 2 + 27 + 569 + 3 + 8 + 24 = 666.

It is a super-2 number, since 2×232822756938242 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6727035454 + ... + 6727038914.

It is an arithmetic number, because the mean of its divisors is an integer number (178740968952).

Almost surely, 223282275693824 is an apocalyptic number.

23282275693824 is a gapful number since it is divisible by the number (24) 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 23282275693824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38608049293632).

23282275693824 is an abundant number, since it is smaller than the sum of its proper divisors (53933822893440).

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

23282275693824 is a wasteful number, since it uses less digits than its factorization.

23282275693824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6074 (or 6057 counting only the distinct ones).

The product of its digits is 139345920, while the sum is 63.

The spelling of 23282275693824 in words is "twenty-three trillion, two hundred eighty-two billion, two hundred seventy-five million, six hundred ninety-three thousand, eight hundred twenty-four".