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57504334140 = 223251129042593
BaseRepresentation
bin110101100011100001…
…101000000100111100
312111102120112211210100
4311203201220010330
51420232102143030
642230033241100
74104003526641
oct654341500474
9174376484710
1057504334140
11224297743a0
12b18a103190
1355656b7726
142ad724ddc8
1517685d1360
hexd6386813c

57504334140 has 72 divisors (see below), whose sum is σ = 190287075888. Its totient is φ = 13940444160.

The previous prime is 57504334123. The next prime is 57504334159. The reversal of 57504334140 is 4143340575.

57504334140 is a `hidden beast` number, since 5 + 7 + 504 + 3 + 3 + 4 + 140 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 57504334095 and 57504334104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14519317 + ... + 14523276.

It is an arithmetic number, because the mean of its divisors is an integer number (2642876054).

Almost surely, 257504334140 is an apocalyptic number.

It is an amenable number.

57504334140 is an abundant number, since it is smaller than the sum of its proper divisors (132782741748).

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

57504334140 is a wasteful number, since it uses less digits than its factorization.

57504334140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29042619 (or 29042614 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 57504334140 in words is "fifty-seven billion, five hundred four million, three hundred thirty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 29042593 58085186 87127779 116170372 145212965 174255558 261383337 290425930 319468523 348511116 435638895 522766674 580851860 638937046 871277790 958405569 1045533348 1277874092 1306916685 1597342615 1742555580 1916811138 2613833370 2875216707 3194685230 3833622276 4792027845 5227666740 5750433414 6389370460 9584055690 11500866828 14376083535 19168111380 28752167070 57504334140