Search a number
-
+
101620592928 = 2533117616427
BaseRepresentation
bin101111010100100001…
…1110011000100100000
3100201022010001222211000
41132221003303010200
53131104332433203
6114403413552000
710225152534141
oct1365103630440
9321263058730
10101620592928
113a1081a25a8
1217840645600
1397764a577a
144cc0395ac8
15299b6554a3
hex17a90f3120

101620592928 has 48 divisors (see below), whose sum is σ = 296393398560. Its totient is φ = 33873530688.

The previous prime is 101620592917. The next prime is 101620593029. The reversal of 101620592928 is 829295026101.

It is a happy number.

101620592928 is a `hidden beast` number, since 1 + 0 + 16 + 20 + 592 + 9 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1016205929282 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58807350 + ... + 58809077.

It is an arithmetic number, because the mean of its divisors is an integer number (6174862470).

Almost surely, 2101620592928 is an apocalyptic number.

101620592928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

101620592928 is an abundant number, since it is smaller than the sum of its proper divisors (194772805632).

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

101620592928 is a wasteful number, since it uses less digits than its factorization.

101620592928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117616446 (or 117616432 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 101620592928 in words is "one hundred one billion, six hundred twenty million, five hundred ninety-two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 117616427 235232854 352849281 470465708 705698562 940931416 1058547843 1411397124 1881862832 2117095686 2822794248 3175643529 3763725664 4234191372 5645588496 6351287058 8468382744 11291176992 12702574116 16936765488 25405148232 33873530976 50810296464 101620592928