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137042075648 = 21316728769
BaseRepresentation
bin111111110100001011…
…0000010000000000000
3111002201200211202100102
41333220112002000000
54221130232410043
6142542315141532
712621013265102
oct1775026020000
9432650752312
10137042075648
1153134751865
12226871448a8
13cbccb1ccba
1468c0859572
1538711de6b8
hex1fe8582000

137042075648 has 28 divisors (see below), whose sum is σ = 274067438910. Its totient is φ = 68521033728.

The previous prime is 137042075629. The next prime is 137042075657. The reversal of 137042075648 is 846570240731.

It can be written as a sum of positive squares in only one way, i.e., 78113542144 + 58928533504 = 279488^2 + 242752^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8356193 + ... + 8372576.

Almost surely, 2137042075648 is an apocalyptic number.

It is an amenable number.

137042075648 is a deficient number, since it is larger than the sum of its proper divisors (137025363262).

137042075648 is an frugal number, since it uses more digits than its factorization.

137042075648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16728795 (or 16728771 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 47.

The spelling of 137042075648 in words is "one hundred thirty-seven billion, forty-two million, seventy-five thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16728769 33457538 66915076 133830152 267660304 535320608 1070641216 2141282432 4282564864 8565129728 17130259456 34260518912 68521037824 137042075648