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189214995132 = 223243281434989
BaseRepresentation
bin1011000000111000010…
…1111011001010111100
3200002101201101200010200
42300032011323022330
511100003014321012
6222531342003500
716445631631062
oct2601605731274
9602351350120
10189214995132
1173277a28439
1230807876590
1314ac5acc1a7
14922d9b8032
154dc67023dc
hex2c0e17b2bc

189214995132 has 72 divisors (see below), whose sum is σ = 491159388720. Its totient is φ = 61385506560.

The previous prime is 189214995097. The next prime is 189214995139. The reversal of 189214995132 is 231599412981.

It is a happy number.

189214995132 is a `hidden beast` number, since 1 + 89 + 2 + 1 + 49 + 9 + 513 + 2 = 666.

189214995132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189214995139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 217494 + ... + 652482.

Almost surely, 2189214995132 is an apocalyptic number.

189214995132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is a pronic number, being equal to 434988×434989.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189214995132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245579694360).

189214995132 is an abundant number, since it is smaller than the sum of its proper divisors (301944393588).

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

189214995132 is a wasteful number, since it uses less digits than its factorization.

189214995132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435323 (or 435318 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 54.

The spelling of 189214995132 in words is "one hundred eighty-nine billion, two hundred fourteen million, nine hundred ninety-five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 258 281 387 516 562 774 843 1124 1548 1686 2529 3372 5058 10116 12083 24166 36249 48332 72498 108747 144996 217494 434988 434989 869978 1304967 1739956 2609934 3914901 5219868 7829802 15659604 18704527 37409054 56113581 74818108 112227162 122231909 168340743 224454324 244463818 336681486 366695727 488927636 673362972 733391454 1100087181 1466782908 2200174362 4400348724 5255972087 10511944174 15767916261 21023888348 31535832522 47303748783 63071665044 94607497566 189214995132