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188430930256 = 241715741910531
BaseRepresentation
bin1010111101111101011…
…0111101000101010000
3200000101002001001022211
42233133112331011100
511041401304232011
6222321452441504
716420331323462
oct2573726750520
9600332031284
10188430930256
1172a05390938
1230629179294
13149cc53848a
1491977da132
154d7c976b21
hex2bdf5bd150

188430930256 has 80 divisors (see below), whose sum is σ = 389988164160. Its totient is φ = 87889950720.

The previous prime is 188430930253. The next prime is 188430930257. The reversal of 188430930256 is 652039034881.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (188430930253) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17887711 + ... + 17898241.

It is an arithmetic number, because the mean of its divisors is an integer number (4874852052).

Almost surely, 2188430930256 is an apocalyptic number.

188430930256 is a gapful number since it is divisible by the number (16) 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 188430930256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194994082080).

188430930256 is an abundant number, since it is smaller than the sum of its proper divisors (201557233904).

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

188430930256 is a wasteful number, since it uses less digits than its factorization.

188430930256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11132 (or 11126 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 49.

The spelling of 188430930256 in words is "one hundred eighty-eight billion, four hundred thirty million, nine hundred thirty thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 17 34 68 136 157 272 314 419 628 838 1256 1676 2512 2669 3352 5338 6704 7123 10531 10676 14246 21062 21352 28492 42124 42704 56984 65783 84248 113968 131566 168496 179027 263132 358054 526264 716108 1052528 1118311 1432216 1653367 2236622 2864432 3306734 4412489 4473244 6613468 8824978 8946488 13226936 17649956 17892976 26453872 28107239 35299912 56214478 70599824 75012313 112428956 150024626 224857912 300049252 449715824 600098504 692760773 1200197008 1385521546 2771043092 5542086184 11084172368 11776933141 23553866282 47107732564 94215465128 188430930256