Search a number
-
+
72301517024 = 2511205402037
BaseRepresentation
bin100001101010110000…
…0011001100011100000
320220121211001121200212
41003111200121203200
52141033142021044
653114224233252
75136461516552
oct1032540314340
9226554047625
1072301517024
1128732359960
121201976b828
136a83201149
1436dc55b4d2
151d326d1a9e
hex10d58198e0

72301517024 has 24 divisors (see below), whose sum is σ = 155283940728. Its totient is φ = 32864325760.

The previous prime is 72301517017. The next prime is 72301517027. The reversal of 72301517024 is 42071510327.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72301517027) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 102700667 + ... + 102701370.

It is an arithmetic number, because the mean of its divisors is an integer number (6470164197).

Almost surely, 272301517024 is an apocalyptic number.

It is an amenable number.

72301517024 is an abundant number, since it is smaller than the sum of its proper divisors (82982423704).

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

72301517024 is a wasteful number, since it uses less digits than its factorization.

72301517024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205402058 (or 205402050 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 32.

The spelling of 72301517024 in words is "seventy-two billion, three hundred one million, five hundred seventeen thousand, twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 205402037 410804074 821608148 1643216296 2259422407 3286432592 4518844814 6572865184 9037689628 18075379256 36150758512 72301517024