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23112121935672 = 233671167768169
BaseRepresentation
bin1010100000101001101011…
…10100010110011100111000
310000211111102111221021000000
411100110311310112130320
511012132111203420142
6121053321235513000
74603536633013560
oct520246564263470
9100744374837000
1023112121935672
117400883334570
12271334aa58760
13cb8604b0bb73
1459c8c0093da0
152a12ecb1e14c
hex150535d16738

23112121935672 has 448 divisors, whose sum is σ = 82214592595200. Its totient is φ = 5913541624320.

The previous prime is 23112121935671. The next prime is 23112121935691. The reversal of 23112121935672 is 27653912121132.

23112121935672 is a `hidden beast` number, since 2 + 3 + 1 + 1 + 212 + 19 + 356 + 72 = 666.

It is a super-2 number, since 2×231121219356722 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23112121935671) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 29703204 + ... + 30471372.

Almost surely, 223112121935672 is an apocalyptic number.

23112121935672 is a gapful number since it is divisible by the number (22) 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 23112121935672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41107296297600).

23112121935672 is an abundant number, since it is smaller than the sum of its proper divisors (59102470659528).

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

23112121935672 is a wasteful number, since it uses less digits than its factorization.

23112121935672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768278 (or 768259 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The spelling of 23112121935672 in words is "twenty-three trillion, one hundred twelve billion, one hundred twenty-one million, nine hundred thirty-five thousand, six hundred seventy-two".