Search a number
-
+
23112349711464 = 233132112693313943
BaseRepresentation
bin1010100000101010000110…
…11001001111110001101000
310000211112000101112110122110
411100111003121033301220
511012133043011231324
6121053400013522320
74603545400044126
oct520250331176150
9100745011473573
1023112349711464
11740098a968922
1227133b31a33a0
13cb864006c940
1459c902426916
152a1312b13329
hex15054364fc68

23112349711464 has 256 divisors, whose sum is σ = 62958431692800. Its totient is φ = 7028390476800.

The previous prime is 23112349711427. The next prime is 23112349711471. The reversal of 23112349711464 is 46411794321132.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5861613477 + ... + 5861617419.

It is an arithmetic number, because the mean of its divisors is an integer number (245931373800).

Almost surely, 223112349711464 is an apocalyptic number.

23112349711464 is a gapful number since it is divisible by the number (24) 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 23112349711464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31479215846400).

23112349711464 is an abundant number, since it is smaller than the sum of its proper divisors (39846081981336).

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

23112349711464 is a wasteful number, since it uses less digits than its factorization.

23112349711464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4776 (or 4772 counting only the distinct ones).

The product of its digits is 870912, while the sum is 48.

The spelling of 23112349711464 in words is "twenty-three trillion, one hundred twelve billion, three hundred forty-nine million, seven hundred eleven thousand, four hundred sixty-four".