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2137766531616 = 253317145545107
BaseRepresentation
bin11111000110111100110…
…100001001001000100000
321120100221121212210002000
4133012330310021020200
5240011121213002431
64314024255524000
7310306563462522
oct37067464111040
97510847783060
102137766531616
11754692526091
122a6391829600
1312678a4a7131
147567b60ba12
153a91cac09e6
hex1f1bcd09220

2137766531616 has 96 divisors (see below), whose sum is σ = 6601926098880. Its totient is φ = 670671848448.

The previous prime is 2137766531611. The next prime is 2137766531617. The reversal of 2137766531616 is 6161356677312.

2137766531616 is a `hidden beast` number, since 2 + 1 + 37 + 7 + 66 + 531 + 6 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2137766531611) 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, 72757866 + ... + 72787241.

It is an arithmetic number, because the mean of its divisors is an integer number (68770063530).

Almost surely, 22137766531616 is an apocalyptic number.

It is an amenable number.

2137766531616 is an abundant number, since it is smaller than the sum of its proper divisors (4464159567264).

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

2137766531616 is a wasteful number, since it uses less digits than its factorization.

2137766531616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145545143 (or 145545129 counting only the distinct ones).

The product of its digits is 5715360, while the sum is 54.

The spelling of 2137766531616 in words is "two trillion, one hundred thirty-seven billion, seven hundred sixty-six million, five hundred thirty-one thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 96 102 108 136 144 153 204 216 272 288 306 408 432 459 544 612 816 864 918 1224 1632 1836 2448 3672 4896 7344 14688 145545107 291090214 436635321 582180428 873270642 1164360856 1309905963 1746541284 2328721712 2474266819 2619811926 3493082568 3929717889 4657443424 4948533638 5239623852 6986165136 7422800457 7859435778 9897067276 10479247704 13972330272 14845600914 15718871556 19794134552 20958495408 22268401371 29691201828 31437743112 39588269104 41916990816 44536802742 59382403656 62875486224 66805204113 79176538208 89073605484 118764807312 125750972448 133610408226 178147210968 237529614624 267220816452 356294421936 534441632904 712588843872 1068883265808 2137766531616