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13858315920 = 243452138629
BaseRepresentation
bin11001110100000010…
…10001111010010000
31022202210212101120000
430322001101322100
5211340212102140
610211051450000
71000264512261
oct147201217220
938683771500
1013858315920
115971726959
122829156900
1313cb162147
14956754968
15561997a30
hex33a051e90

13858315920 has 100 divisors (see below), whose sum is σ = 48132006780. Its totient is φ = 3695549184.

The previous prime is 13858315871. The next prime is 13858315943. The reversal of 13858315920 is 2951385831.

13858315920 is a `hidden beast` number, since 1 + 3 + 8 + 58 + 3 + 1 + 592 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6572669184 + 7285646736 = 81072^2 + 85356^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1062835 + ... + 1075794.

Almost surely, 213858315920 is an apocalyptic number.

13858315920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13858315920 is an abundant number, since it is smaller than the sum of its proper divisors (34273690860).

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

13858315920 is a wasteful number, since it uses less digits than its factorization.

13858315920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2138654 (or 2138639 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 13858315920 in words is "thirteen billion, eight hundred fifty-eight million, three hundred fifteen thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480 2138629 4277258 6415887 8554516 10693145 12831774 17109032 19247661 21386290 25663548 32079435 34218064 38495322 42772580 51327096 57742983 64158870 76990644 85545160 96238305 102654192 115485966 128317740 153981288 171090320 173228949 192476610 230971932 256635480 288714915 307962576 346457898 384953220 461943864 513270960 577429830 692915796 769906440 866144745 923887728 1154859660 1385831592 1539812880 1732289490 2309719320 2771663184 3464578980 4619438640 6929157960 13858315920