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137796461092832 = 25431092513660323
BaseRepresentation
bin11111010101001100111101…
…000111010101111111100000
3200001220012202022000220010212
4133111030331013111333200
5121030124123014432312
61205022453104513252
741011315522440263
oct3725147507257740
9601805668026125
10137796461092832
113a9a7172a389a3
1213555a6401b828
135bb71c591a569
142605554750cda
1510de607544822
hex7d533d1d5fe0

137796461092832 has 96 divisors (see below), whose sum is σ = 281258710508160. Its totient is φ = 66412882368000.

The previous prime is 137796461092813. The next prime is 137796461092841. The reversal of 137796461092832 is 238290164697731.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35815823 + ... + 39476145.

It is an arithmetic number, because the mean of its divisors is an integer number (2929778234460).

Almost surely, 2137796461092832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137796461092832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140629355254080).

137796461092832 is an abundant number, since it is smaller than the sum of its proper divisors (143462249415328).

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

137796461092832 is a wasteful number, since it uses less digits than its factorization.

137796461092832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3660736 (or 3660728 counting only the distinct ones).

The product of its (nonzero) digits is 164602368, while the sum is 68.

The spelling of 137796461092832 in words is "one hundred thirty-seven trillion, seven hundred ninety-six billion, four hundred sixty-one million, ninety-two thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 16 32 43 86 109 172 218 251 344 436 502 688 872 1004 1376 1744 2008 3488 4016 4687 8032 9374 10793 18748 21586 27359 37496 43172 54718 74992 86344 109436 149984 172688 218872 345376 437744 875488 1176437 2352874 3660323 4705748 7320646 9411496 14641292 18822992 29282584 37645984 58565168 117130336 157393889 314787778 398975207 629575556 797950414 918741073 1259151112 1595900828 1837482146 2518302224 3191801656 3674964292 5036604448 6383603312 7349928584 12767206624 14699857168 17155933901 29399714336 34311867802 39505866139 68623735604 79011732278 100142776957 137247471208 158023464556 200285553914 274494942416 316046929112 400571107828 548989884832 632093858224 801142215656 1264187716448 1602284431312 3204568862624 4306139409151 8612278818302 17224557636604 34449115273208 68898230546416 137796461092832