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393677935380 = 223252975417229
BaseRepresentation
bin1011011101010010000…
…10001001001100010100
31101122011002111012201100
411232221002021030110
522422223022413010
6500504140230100
740304464144512
oct5565102111424
91348132435640
10393677935380
11141a59a27704
1264369b3b330
132b17b91a6c2
14150a86b94b2
15a3918942c0
hex5ba9089314

393677935380 has 72 divisors (see below), whose sum is σ = 1235334227400. Its totient is φ = 101360754432.

The previous prime is 393677935297. The next prime is 393677935381. The reversal of 393677935380 is 83539776393.

393677935380 is a `hidden beast` number, since 3 + 9 + 3 + 6 + 7 + 7 + 93 + 538 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 155781774864 + 237896160516 = 394692^2 + 487746^2 .

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (393677935381) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37703395 + ... + 37713834.

It is an arithmetic number, because the mean of its divisors is an integer number (17157419825).

Almost surely, 2393677935380 is an apocalyptic number.

393677935380 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

393677935380 is an abundant number, since it is smaller than the sum of its proper divisors (841656292020).

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

393677935380 is a wasteful number, since it uses less digits than its factorization.

393677935380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75417273 (or 75417268 counting only the distinct ones).

The product of its (nonzero) digits is 77157360, while the sum is 63.

The spelling of 393677935380 in words is "three hundred ninety-three billion, six hundred seventy-seven million, nine hundred thirty-five thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1305 1740 2610 5220 75417229 150834458 226251687 301668916 377086145 452503374 678755061 754172290 905006748 1131258435 1357510122 1508344580 2187099641 2262516870 2715020244 3393775305 4374199282 4525033740 6561298923 6787550610 8748398564 10935498205 13122597846 13575101220 19683896769 21870996410 26245195692 32806494615 39367793538 43741992820 65612989230 78735587076 98419483845 131225978460 196838967690 393677935380