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137040706386 = 23323647170539
BaseRepresentation
bin111111110100001000…
…0110011101101010010
3111002201121021012002000
41333220100303231102
54221124410101021
6142542225534430
712620665533063
oct1775020635522
9432647235060
10137040706386
11531339a7041
12226867a4416
13cbcc76099c
1468c05c056a
15387101db26
hex1fe8433b52

137040706386 has 64 divisors (see below), whose sum is σ = 318268569600. Its totient is φ = 43626349008.

The previous prime is 137040706351. The next prime is 137040706393. The reversal of 137040706386 is 683607040731.

137040706386 is a `hidden beast` number, since 1 + 3 + 7 + 0 + 4 + 0 + 7 + 0 + 638 + 6 = 666.

It is a super-2 number, since 2×1370407063862 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 718305 + ... + 888843.

It is an arithmetic number, because the mean of its divisors is an integer number (4972946400).

Almost surely, 2137040706386 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137040706386, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159134284800).

137040706386 is an abundant number, since it is smaller than the sum of its proper divisors (181227863214).

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

137040706386 is a wasteful number, since it uses less digits than its factorization.

137040706386 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171220 (or 171214 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 137040706386 in words is "one hundred thirty-seven billion, forty million, seven hundred six thousand, three hundred eighty-six".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 138 207 414 621 647 1242 1294 1941 3882 5823 11646 14881 17469 29762 34938 44643 89286 133929 170539 267858 341078 401787 511617 803574 1023234 1534851 3069702 3922397 4604553 7844794 9209106 11767191 23534382 35301573 70603146 105904719 110338733 211809438 220677466 331016199 662032398 993048597 1986097194 2537790859 2979145791 5075581718 5958291582 7613372577 15226745154 22840117731 45680235462 68520353193 137040706386