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137077661376 = 2632237982051
BaseRepresentation
bin111111110101001110…
…1110001111011000000
3111002211011210200210100
41333222131301323000
54221213340131001
6142550030002400
712621624616425
oct1775235617300
9432734720710
10137077661376
1153152847957
1222697046400
13cc072cc546
1468c547dd4c
1538743bd586
hex1fea771ec0

137077661376 has 42 divisors (see below), whose sum is σ = 392908367852. Its totient is φ = 45692553600.

The previous prime is 137077661351. The next prime is 137077661407. The reversal of 137077661376 is 673166770731.

137077661376 is a `hidden beast` number, since 13 + 7 + 0 + 7 + 7 + 6 + 613 + 7 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 118990450 + ... + 118991601.

Almost surely, 2137077661376 is an apocalyptic number.

137077661376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

137077661376 is an abundant number, since it is smaller than the sum of its proper divisors (255830706476).

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

137077661376 is a wasteful number, since it uses less digits than its factorization.

137077661376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237982069 (or 237982056 counting only the distinct ones).

The product of its (nonzero) digits is 4667544, while the sum is 54.

The spelling of 137077661376 in words is "one hundred thirty-seven billion, seventy-seven million, six hundred sixty-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 237982051 475964102 713946153 951928204 1427892306 1903856408 2141838459 2855784612 3807712816 4283676918 5711569224 7615425632 8567353836 11423138448 15230851264 17134707672 22846276896 34269415344 45692553792 68538830688 137077661376