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165137272944 = 243717181211757
BaseRepresentation
bin1001100111001011110…
…0101101000001110000
3120210020200220122122020
42121302330231001300
510201200120213234
6203510224511440
714634153442230
oct2316274550160
9523220818566
10165137272944
116404175a386
122800817b580
131275968c4b7
147dc7d09cc0
1544679ac549
hex2672f2d070

165137272944 has 320 divisors, whose sum is σ = 522228575232. Its totient is φ = 43893964800.

The previous prime is 165137272931. The next prime is 165137272957. The reversal of 165137272944 is 449272731561.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (165137272931) and next prime (165137272957).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 218146614 + ... + 218147370.

Almost surely, 2165137272944 is an apocalyptic number.

165137272944 is a gapful number since it is divisible by the number (14) 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 165137272944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261114287616).

165137272944 is an abundant number, since it is smaller than the sum of its proper divisors (357091302288).

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

165137272944 is a wasteful number, since it uses less digits than its factorization.

165137272944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184 (or 1178 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 51.

The spelling of 165137272944 in words is "one hundred sixty-five billion, one hundred thirty-seven million, two hundred seventy-two thousand, nine hundred forty-four".