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137405065640 = 235171910635067
BaseRepresentation
bin111111111110111111…
…0101110100110101000
3111010122222212120000012
41333331332232212220
54222401144100030
6143042323231052
712633011534003
oct1777576564650
9433588776005
10137405065640
1153300639597
1222768818488
13cc5a0a398b
146916b4853a
153892ee2095
hex1ffdfae9a8

137405065640 has 64 divisors (see below), whose sum is σ = 344576203200. Its totient is φ = 49006384128.

The previous prime is 137405065639. The next prime is 137405065643. The reversal of 137405065640 is 46560504731.

It is not an unprimeable number, because it can be changed into a prime (137405065643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5304614 + ... + 5330453.

It is an arithmetic number, because the mean of its divisors is an integer number (5384003175).

Almost surely, 2137405065640 is an apocalyptic number.

137405065640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137405065640 is an abundant number, since it is smaller than the sum of its proper divisors (207171137560).

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

137405065640 is a wasteful number, since it uses less digits than its factorization.

137405065640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10635114 (or 10635110 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 41.

The spelling of 137405065640 in words is "one hundred thirty-seven billion, four hundred five million, sixty-five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 17 19 20 34 38 40 68 76 85 95 136 152 170 190 323 340 380 646 680 760 1292 1615 2584 3230 6460 12920 10635067 21270134 42540268 53175335 85080536 106350670 180796139 202066273 212701340 361592278 404132546 425402680 723184556 808265092 903980695 1010331365 1446369112 1616530184 1807961390 2020662730 3435126641 3615922780 4041325460 6870253282 7231845560 8082650920 13740506564 17175633205 27481013128 34351266410 68702532820 137405065640