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164617097112 = 233213434090069
BaseRepresentation
bin1001100101001111110…
…0011000111110011000
3120201220110002222112200
42121103330120332120
510144113434101422
6203342443410200
714615236144506
oct2312374307630
9521813088480
10164617097112
11638a50725a6
1227aa1b23960
13126a5991c50
147d78bc1676
154436eab2ac
hex2653f18f98

164617097112 has 96 divisors (see below), whose sum is σ = 491299208400. Its totient is φ = 49473462528.

The previous prime is 164617097107. The next prime is 164617097131. The reversal of 164617097112 is 211790716461.

164617097112 is a `hidden beast` number, since 1 + 6 + 461 + 70 + 9 + 7 + 112 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2004787 + ... + 2085282.

Almost surely, 2164617097112 is an apocalyptic number.

164617097112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

164617097112 is an abundant number, since it is smaller than the sum of its proper divisors (326682111288).

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

164617097112 is a wasteful number, since it uses less digits than its factorization.

164617097112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4090137 (or 4090130 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 164617097112 in words is "one hundred sixty-four billion, six hundred seventeen million, ninety-seven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 43 52 72 78 86 104 117 129 156 172 234 258 312 344 387 468 516 559 774 936 1032 1118 1548 1677 2236 3096 3354 4472 5031 6708 10062 13416 20124 40248 4090069 8180138 12270207 16360276 24540414 32720552 36810621 49080828 53170897 73621242 98161656 106341794 147242484 159512691 175872967 212683588 294484968 319025382 351745934 425367176 478538073 527618901 638050764 703491868 957076146 1055237802 1276101528 1406983736 1582856703 1914152292 2110475604 2286348571 3165713406 3828304584 4220951208 4572697142 6331426812 6859045713 9145394284 12662853624 13718091426 18290788568 20577137139 27436182852 41154274278 54872365704 82308548556 164617097112