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57010630140 = 2234576945763
BaseRepresentation
bin110101000110000110…
…010010110111111100
312110011011120002020000
4311012012102313330
51413224210131030
642105035354300
74055530234452
oct650606226774
9173134502200
1057010630140
11221a6018262
12b0708b2990
1354b7328299
142a8b8569d2
15173a0ad860
hexd46192dfc

57010630140 has 120 divisors (see below), whose sum is σ = 179080938960. Its totient is φ = 15182733312.

The previous prime is 57010630123. The next prime is 57010630169. The reversal of 57010630140 is 4103601075.

57010630140 is a `hidden beast` number, since 5 + 7 + 0 + 10 + 630 + 14 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1222899 + ... + 1268661.

It is an arithmetic number, because the mean of its divisors is an integer number (1492341158).

Almost surely, 257010630140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57010630140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89540469480).

57010630140 is an abundant number, since it is smaller than the sum of its proper divisors (122070308820).

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

57010630140 is a wasteful number, since it uses less digits than its factorization.

57010630140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46553 (or 46542 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 57010630140 in words is "fifty-seven billion, ten million, six hundred thirty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 769 810 1538 1620 2307 3076 3845 4614 6921 7690 9228 11535 13842 15380 20763 23070 27684 34605 41526 45763 46140 62289 69210 83052 91526 103815 124578 137289 138420 183052 207630 228815 249156 274578 311445 411867 415260 457630 549156 622890 686445 823734 915260 1235601 1245780 1372890 1647468 2059335 2471202 2745780 3706803 4118670 4942404 6178005 7413606 8237340 12356010 14827212 18534015 24712020 35191747 37068030 70383494 74136060 105575241 140766988 175958735 211150482 316725723 351917470 422300964 527876205 633451446 703834940 950177169 1055752410 1266902892 1583628615 1900354338 2111504820 2850531507 3167257230 3800708676 4750885845 5701063014 6334514460 9501771690 11402126028 14252657535 19003543380 28505315070 57010630140