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23273677152 = 25321153971429
BaseRepresentation
bin10101101011001110…
…000010000101100000
32020001222112022001200
4111223032002011200
5340131030132102
614405231401200
71452512664105
oct255316020540
966058468050
1023273677152
119963425130
124616383200
13226b9a18cb
1411aadacaac
1591336e51c
hex56b382160

23273677152 has 288 divisors, whose sum is σ = 74373979680. Its totient is φ = 6843432960.

The previous prime is 23273677129. The next prime is 23273677153. The reversal of 23273677152 is 25177637232.

It is a happy number.

23273677152 is a `hidden beast` number, since 232 + 7 + 367 + 7 + 1 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×232736771522 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23273677098 and 23273677107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23273677153) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16285974 + ... + 16287402.

It is an arithmetic number, because the mean of its divisors is an integer number (258242985).

Almost surely, 223273677152 is an apocalyptic number.

23273677152 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 23273677152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37186989840).

23273677152 is an abundant number, since it is smaller than the sum of its proper divisors (51100302528).

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

23273677152 is a wasteful number, since it uses less digits than its factorization.

23273677152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1606 (or 1595 counting only the distinct ones).

The product of its digits is 740880, while the sum is 45.

The spelling of 23273677152 in words is "twenty-three billion, two hundred seventy-three million, six hundred seventy-seven thousand, one hundred fifty-two".