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137776402624 = 2671741441229
BaseRepresentation
bin1000000001010000011…
…1010001000011000000
3111011121212121102120211
42000110013101003000
54224131224340444
6143143230243504
712645141046060
oct2002407210300
9434555542524
10137776402624
1153481207563
1222851056594
13ccb8cba9c3
1469501ab3a0
1538b58e2c34
hex20141d10c0

137776402624 has 112 divisors (see below), whose sum is σ = 338906998080. Its totient is φ = 54218096640.

The previous prime is 137776402597. The next prime is 137776402639. The reversal of 137776402624 is 426204677731.

It is a tau number, because it is divible by the number of its divisors (112).

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, 91642 + ... + 532870.

It is an arithmetic number, because the mean of its divisors is an integer number (3025955340).

Almost surely, 2137776402624 is an apocalyptic number.

137776402624 is a gapful number since it is divisible by the number (14) 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 137776402624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169453499040).

137776402624 is an abundant number, since it is smaller than the sum of its proper divisors (201130595456).

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

137776402624 is a wasteful number, since it uses less digits than its factorization.

137776402624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441306 (or 441296 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 49.

The spelling of 137776402624 in words is "one hundred thirty-seven billion, seven hundred seventy-six million, four hundred two thousand, six hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 41 56 64 68 82 112 119 136 164 224 238 272 287 328 448 476 544 574 656 697 952 1088 1148 1312 1394 1904 2296 2624 2788 3808 4592 4879 5576 7616 9184 9758 11152 18368 19516 22304 39032 44608 78064 156128 312256 441229 882458 1764916 3088603 3529832 6177206 7059664 7500893 12354412 14119328 15001786 18090389 24708824 28238656 30003572 36180778 49417648 52506251 60007144 72361556 98835296 105012502 120014288 126632723 144723112 197670592 210025004 240028576 253265446 289446224 307536613 420050008 480057152 506530892 578892448 615073226 840100016 1013061784 1157784896 1230146452 1680200032 2026123568 2152756291 2460292904 3360400064 4052247136 4305512582 4920585808 8104494272 8611025164 9841171616 17222050328 19682343232 34444100656 68888201312 137776402624