Search a number
-
+
204155613112 = 231122916344617
BaseRepresentation
bin1011111000100010011…
…1110110111110111000
3201111221221210201000011
42332020213312332320
511321102314104422
6233442055151304
720515111036063
oct2761047667670
9644857721004
10204155613112
1179644580900
1233697375534
1316337256649
149c49d818da
15549d1d7077
hex2f889f6fb8

204155613112 has 96 divisors (see below), whose sum is σ = 437943517200. Its totient is φ = 89046397440.

The previous prime is 204155613107. The next prime is 204155613119. The reversal of 204155613112 is 211316551402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204155613119) 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 23 ways as a sum of consecutive naturals, for example, 4553428 + ... + 4598044.

Almost surely, 2204155613112 is an apocalyptic number.

204155613112 is a gapful number since it is divisible by the number (22) 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 204155613112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218971758600).

204155613112 is an abundant number, since it is smaller than the sum of its proper divisors (233787904088).

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

204155613112 is a wasteful number, since it uses less digits than its factorization.

204155613112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44837 (or 44822 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 31.

The spelling of 204155613112 in words is "two hundred four billion, one hundred fifty-five million, six hundred thirteen thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 29 44 58 88 116 121 163 232 242 319 326 484 638 652 968 1276 1304 1793 2552 3509 3586 4727 7018 7172 9454 14036 14344 18908 19723 28072 37816 39446 44617 51997 78892 89234 103994 157784 178468 207988 356936 415976 490787 571967 981574 1143934 1293893 1963148 2287868 2587786 3926296 4575736 5175572 5398657 7272571 10351144 10797314 14232823 14545142 21594628 28465646 29090284 43189256 56931292 58180568 79998281 113862584 156561053 159996562 210904559 313122106 319993124 421809118 626244212 639986248 843618236 879981091 1252488424 1687236472 1759962182 2319950149 3519924364 4639900298 7039848728 9279800596 18559601192 25519451639 51038903278 102077806556 204155613112