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23218257965056 = 212711157468899
BaseRepresentation
bin1010100011101111011000…
…00001001011000000000000
310001012122101022121012011021
411101313230001023000000
511020401443014340211
6121214153115155224
74614315035252560
oct521675401130000
9101178338535137
1023218257965056
117441898360330
12272ba2b745b14
13cc561a93430b
145a3aac012da0
152a3e608b1771
hex151dec04b000

23218257965056 has 208 divisors, whose sum is σ = 58256646163200. Its totient is φ = 8988437053440.

The previous prime is 23218257965041. The next prime is 23218257965057. The reversal of 23218257965056 is 65056975281232.

It is a super-2 number, since 2×232182579650562 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23218257964985 and 23218257965003.

It is not an unprimeable number, because it can be changed into a prime (23218257965057) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49282095 + ... + 49750993.

Almost surely, 223218257965056 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 23218257965056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29128323081600).

23218257965056 is an abundant number, since it is smaller than the sum of its proper divisors (35038388198144).

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

23218257965056 is a wasteful number, since it uses less digits than its factorization.

23218257965056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469098 (or 469076 counting only the distinct ones).

The product of its (nonzero) digits is 54432000, while the sum is 61.

The spelling of 23218257965056 in words is "twenty-three trillion, two hundred eighteen billion, two hundred fifty-seven million, nine hundred sixty-five thousand, fifty-six".