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10137445760 = 275137316691
BaseRepresentation
bin10010111000011110…
…10010010110000000
3222011111101121021002
421130033102112000
5131230141231020
64353532351132
7506133603311
oct113417222600
928144347232
1010137445760
114332362052
121b6b0154a8
13c57312020
146c2500608
153e4eac975
hex25c3d2580

10137445760 has 128 divisors (see below), whose sum is σ = 26458155360. Its totient is φ = 3691560960.

The previous prime is 10137445741. The next prime is 10137445793. The reversal of 10137445760 is 6754473101.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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, 599015 + ... + 615705.

Almost surely, 210137445760 is an apocalyptic number.

10137445760 is a gapful number since it is divisible by the number (10) 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 10137445760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13229077680).

10137445760 is an abundant number, since it is smaller than the sum of its proper divisors (16320709600).

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

10137445760 is a wasteful number, since it uses less digits than its factorization.

10137445760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16796 (or 16784 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 38.

The spelling of 10137445760 in words is "ten billion, one hundred thirty-seven million, four hundred forty-five thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 73 80 104 128 130 146 160 208 260 292 320 365 416 520 584 640 730 832 949 1040 1168 1460 1664 1898 2080 2336 2920 3796 4160 4672 4745 5840 7592 8320 9344 9490 11680 15184 16691 18980 23360 30368 33382 37960 46720 60736 66764 75920 83455 121472 133528 151840 166910 216983 267056 303680 333820 433966 534112 607360 667640 867932 1068224 1084915 1218443 1335280 1735864 2136448 2169830 2436886 2670560 3471728 4339660 4873772 5341120 6092215 6943456 8679320 9747544 10682240 12184430 13886912 15839759 17358640 19495088 24368860 27773824 31679518 34717280 38990176 48737720 63359036 69434560 77980352 79198795 97475440 126718072 138869120 155960704 158397590 194950880 253436144 316795180 389901760 506872288 633590360 779803520 1013744576 1267180720 2027489152 2534361440 5068722880 10137445760