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23028813769032 = 233237293199914759
BaseRepresentation
bin1010011110001110100000…
…10000111010100101001000
310000112112101121220220111200
411033013100100322211020
511004301002311102112
6120551142504424200
74564530321204351
oct517072020724510
9100475347826450
1023028813769032
117379513015975
1226bb17b178060
13cb07b94c57c6
14598859c14d28
1529e073ed7cdc
hex14f1d043a948

23028813769032 has 192 divisors, whose sum is σ = 64310500800000. Its totient is φ = 7439086075392.

The previous prime is 23028813769001. The next prime is 23028813769033. The reversal of 23028813769032 is 23096731882032.

23028813769032 is a `hidden beast` number, since 230 + 2 + 8 + 8 + 1 + 376 + 9 + 0 + 32 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 23028813769032.

It is not an unprimeable number, because it can be changed into a prime (23028813769033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1560316069 + ... + 1560330827.

It is an arithmetic number, because the mean of its divisors is an integer number (334950525000).

Almost surely, 223028813769032 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 23028813769032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32155250400000).

23028813769032 is an abundant number, since it is smaller than the sum of its proper divisors (41281687030968).

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

23028813769032 is a wasteful number, since it uses less digits than its factorization.

23028813769032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17100 (or 17093 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 23028813769032 in words is "twenty-three trillion, twenty-eight billion, eight hundred thirteen million, seven hundred sixty-nine thousand, thirty-two".