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137338062976 = 271931258763
BaseRepresentation
bin111111111100111111…
…1001000100010000000
3111010111022210110122001
41333321333020202000
54222232021003401
6143031531153344
712631236162652
oct1777177104200
9433438713561
10137338062976
1153276835494
122274a2a5854
13cc4924452a
14690bca66d2
15388c1a9601
hex1ff9fc8880

137338062976 has 96 divisors (see below), whose sum is σ = 297598525200. Its totient is φ = 62955256320.

The previous prime is 137338062929. The next prime is 137338062989. The reversal of 137338062976 is 679260833731.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2307771 + ... + 2366533.

Almost surely, 2137338062976 is an apocalyptic number.

137338062976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137338062976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148799262600).

137338062976 is an abundant number, since it is smaller than the sum of its proper divisors (160260462224).

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

137338062976 is an equidigital number, since it uses as much as digits as its factorization.

137338062976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58858 (or 58815 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 55.

The spelling of 137338062976 in words is "one hundred thirty-seven billion, three hundred thirty-eight million, sixty-two thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 19 31 32 38 62 64 76 124 128 152 248 304 496 589 608 961 992 1178 1216 1922 1984 2356 2432 3844 3968 4712 7688 9424 15376 18259 18848 30752 36518 37696 58763 61504 73036 75392 117526 123008 146072 235052 292144 470104 584288 940208 1116497 1168576 1821653 1880416 2232994 2337152 3643306 3760832 4465988 7286612 7521664 8931976 14573224 17863952 29146448 34611407 35727904 56471243 58292896 69222814 71455808 112942486 116585792 138445628 142911616 225884972 233171584 276891256 451769944 553782512 903539888 1072953617 1107565024 1807079776 2145907234 2215130048 3614159552 4291814468 4430260096 7228319104 8583628936 17167257872 34334515744 68669031488 137338062976