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57145870840 = 235231032632293
BaseRepresentation
bin110101001110001010…
…001100100111111000
312110111121001000120211
4311032022030213320
51414013320331330
642130310200504
74062061613302
oct651612144770
9173447030524
1057145870840
1122265399633
12b0aa053134
13550935a276
142aa17bc972
151746dc4d2a
hexd4e28c9f8

57145870840 has 128 divisors (see below), whose sum is σ = 136045578240. Its totient is φ = 21560495616.

The previous prime is 57145870811. The next prime is 57145870843. The reversal of 57145870840 is 4807854175.

57145870840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57145870843) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24920734 + ... + 24923026.

It is an arithmetic number, because the mean of its divisors is an integer number (1062856080).

Almost surely, 257145870840 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 57145870840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68022789120).

57145870840 is an abundant number, since it is smaller than the sum of its proper divisors (78899707400).

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

57145870840 is a wasteful number, since it uses less digits than its factorization.

57145870840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2693 (or 2689 counting only the distinct ones).

The product of its (nonzero) digits is 1254400, while the sum is 49.

The spelling of 57145870840 in words is "fifty-seven billion, one hundred forty-five million, eight hundred seventy thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 103 115 184 206 230 263 412 460 515 526 824 920 1030 1052 1315 2060 2104 2293 2369 2630 4120 4586 4738 5260 6049 9172 9476 10520 11465 11845 12098 18344 18952 22930 23690 24196 27089 30245 45860 47380 48392 52739 54178 60490 91720 94760 105478 108356 120980 135445 210956 216712 236179 241960 263695 270890 421912 472358 527390 541780 603059 623047 944716 1054780 1083560 1180895 1206118 1246094 1889432 2109560 2361790 2412236 2492188 3015295 3115235 4723580 4824472 4984376 5432117 6030590 6230470 9447160 10864234 12061180 12460940 13870357 21728468 24122360 24921880 27160585 27740714 43456936 54321170 55481428 62115077 69351785 108642340 110962856 124230154 138703570 217284680 248460308 277407140 310575385 496920616 554814280 621150770 1242301540 1428646771 2484603080 2857293542 5714587084 7143233855 11429174168 14286467710 28572935420 57145870840