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164890916892 = 22351313049297
BaseRepresentation
bin1001100110010001000…
…0111011100000011100
3120202121112100110200000
42121210100323200130
510200144033320032
6203425544334300
714625102445062
oct2314420734034
9522545313600
10164890916892
1163a25695439
1227b59774390
131271a6245a0
147da32dc032
154451047e7c
hex266443b81c

164890916892 has 72 divisors (see below), whose sum is σ = 465494558256. Its totient is φ = 50735662848.

The previous prime is 164890916891. The next prime is 164890916959. The reversal of 164890916892 is 298619098461.

164890916892 is a `hidden beast` number, since 1 + 6 + 489 + 0 + 9 + 1 + 68 + 92 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164890916891) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6512013 + ... + 6537284.

It is an arithmetic number, because the mean of its divisors is an integer number (6465202198).

Almost surely, 2164890916892 is an apocalyptic number.

164890916892 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

164890916892 is an abundant number, since it is smaller than the sum of its proper divisors (300603641364).

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

164890916892 is a wasteful number, since it uses less digits than its factorization.

164890916892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13049329 (or 13049315 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 63.

The spelling of 164890916892 in words is "one hundred sixty-four billion, eight hundred ninety million, nine hundred sixteen thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 243 324 351 468 486 702 972 1053 1404 2106 3159 4212 6318 12636 13049297 26098594 39147891 52197188 78295782 117443673 156591564 169640861 234887346 339281722 352331019 469774692 508922583 678563444 704662038 1017845166 1056993057 1409324076 1526767749 2035690332 2113986114 3053535498 3170979171 4227972228 4580303247 6107070996 6341958342 9160606494 12683916684 13740909741 18321212988 27481819482 41222729223 54963638964 82445458446 164890916892