Search a number
-
+
23001538035024 = 24332331353921101
BaseRepresentation
bin1010011101011011101101…
…00000001111110101010000
310000102220222201211001112000
411032231312200033311100
511003324122214110044
6120530432151034000
74562543361246063
oct516556640176520
9100386881731460
1023001538035024
11736899663223a
1226b5a2866b900
13cab060662223
145973cd5188da
1529d4c9638d69
hex14eb7680fd50

23001538035024 has 320 divisors, whose sum is σ = 71139332505600. Its totient is φ = 7094907072000.

The previous prime is 23001538035013. The next prime is 23001538035029. The reversal of 23001538035024 is 42053083510032.

23001538035024 is a `hidden beast` number, since 23 + 0 + 0 + 1 + 53 + 80 + 3 + 502 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 23001538035024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23001538035029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1090058074 + ... + 1090079174.

It is an arithmetic number, because the mean of its divisors is an integer number (222310414080).

Almost surely, 223001538035024 is an apocalyptic number.

23001538035024 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 23001538035024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35569666252800).

23001538035024 is an abundant number, since it is smaller than the sum of its proper divisors (48137794470576).

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

23001538035024 is a wasteful number, since it uses less digits than its factorization.

23001538035024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24711 (or 24699 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 23001538035024 in words is "twenty-three trillion, one billion, five hundred thirty-eight million, thirty-five thousand, twenty-four".