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164131165480 = 23517295381737
BaseRepresentation
bin1001100011011011111…
…0101101010100101000
3120200122120202002122211
42120312332231110220
510142120034243410
6203222324254504
714600215613302
oct2306676552450
9520576662584
10164131165480
1163675844a07
1227987241434
13126290c4439
147d3044c972
1544094c168a
hex2636fad528

164131165480 has 64 divisors (see below), whose sum is σ = 391155564240. Its totient is φ = 61768876032.

The previous prime is 164131165441. The next prime is 164131165489. The reversal of 164131165480 is 84561131461.

It can be written as a sum of positive squares in 8 ways, for example, as 96966223236 + 67164942244 = 311394^2 + 259162^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (164131165489) 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, 1967172 + ... + 2048908.

Almost surely, 2164131165480 is an apocalyptic number.

164131165480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164131165480 is an abundant number, since it is smaller than the sum of its proper divisors (227024398760).

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

164131165480 is a wasteful number, since it uses less digits than its factorization.

164131165480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84718 (or 84714 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The spelling of 164131165480 in words is "one hundred sixty-four billion, one hundred thirty-one million, one hundred sixty-five thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 2953 5906 11812 14765 23624 29530 50201 59060 81737 100402 118120 163474 200804 251005 326948 401608 408685 502010 653896 817370 1004020 1389529 1634740 2008040 2779058 3269480 5558116 6947645 11116232 13895290 27790580 55581160 241369361 482738722 965477444 1206846805 1930954888 2413693610 4103279137 4827387220 8206558274 9654774440 16413116548 20516395685 32826233096 41032791370 82065582740 164131165480