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137376308426672 = 24717123631583603
BaseRepresentation
bin11111001111000101101010…
…000100000111011110110000
3200000102001021010200000022002
4133033011222010013132300
5121001233134424123142
61204101445503033132
740636052662626440
oct3717055204073660
9600361233600262
10137376308426672
113a854a687941a7
12134a854789b7a8
135b866b80b0cb3
1425cd097cc6120
1510d37167c5a32
hex7cf16a1077b0

137376308426672 has 80 divisors (see below), whose sum is σ = 322087107105792. Its totient is φ = 55411749319680.

The previous prime is 137376308426627. The next prime is 137376308426681. The reversal of 137376308426672 is 276624803673731.

It is a super-2 number, since 2×1373763084266722 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 137376308426599 and 137376308426608.

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, 235101623 + ... + 235685225.

Almost surely, 2137376308426672 is an apocalyptic number.

It is an amenable number.

137376308426672 is an abundant number, since it is smaller than the sum of its proper divisors (184710798679120).

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

137376308426672 is a wasteful number, since it uses less digits than its factorization.

137376308426672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707266 (or 707260 counting only the distinct ones).

The product of its (nonzero) digits is 256048128, while the sum is 65.

The spelling of 137376308426672 in words is "one hundred thirty-seven trillion, three hundred seventy-six billion, three hundred eight million, four hundred twenty-six thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 272 476 952 1904 123631 247262 494524 583603 865417 989048 1167206 1730834 1978096 2101727 2334412 3461668 4085221 4203454 4668824 6923336 8170442 8406908 9337648 9921251 13846672 14712089 16340884 16813816 19842502 29424178 32681768 33627632 39685004 58848356 65363536 69448757 79370008 117696712 138897514 158740016 235393424 277795028 555590056 1111180112 72151422493 144302844986 288605689972 505059957451 577211379944 1010119914902 1154422759888 1226574182381 2020239829804 2453148364762 4040479659608 4906296729524 8080959319216 8586019276667 9812593459048 17172038553334 19625186918096 34344077106668 68688154213336 137376308426672