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23153466435132 = 2231173101137173651
BaseRepresentation
bin1010100001110110101100…
…01001000110011000111100
310000222110010212220110000210
411100323112021012120330
511013321244401411012
6121124320003552420
74606532324323065
oct520732611063074
9100873125813023
1023153466435132
11741736a213990
12271b36908b710
13cbc4935a9c27
145a08c304756c
152a241c68623c
hex150ed624663c

23153466435132 has 192 divisors, whose sum is σ = 60775710524928. Its totient is φ = 6801523200000.

The previous prime is 23153466435131. The next prime is 23153466435223.

23153466435132 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23153466435131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 133246507 + ... + 133420157.

It is an arithmetic number, because the mean of its divisors is an integer number (316540158984).

Almost surely, 223153466435132 is an apocalyptic number.

23153466435132 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 23153466435132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30387855262464).

23153466435132 is an abundant number, since it is smaller than the sum of its proper divisors (37622244089796).

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

23153466435132 is a wasteful number, since it uses less digits than its factorization.

23153466435132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173980 (or 173978 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 48.

It can be divided in two parts, 231534 and 66435132, that added together give a palindrome (66666666).

The spelling of 23153466435132 in words is "twenty-three trillion, one hundred fifty-three billion, four hundred sixty-six million, four hundred thirty-five thousand, one hundred thirty-two".