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57513620940 = 22358914877243
BaseRepresentation
bin110101100100000101…
…000011010111001100
312111110020000122212220
4311210011003113030
51420241441332230
642231004255340
74104145466106
oct654405032714
9174406018786
1057513620940
1122433a37736
12b191241550
1355675b9789
142ad858a576
151769317d10
hexd641435cc

57513620940 has 96 divisors (see below), whose sum is σ = 162979568640. Its totient is φ = 15152349696.

The previous prime is 57513620917. The next prime is 57513620947. The reversal of 57513620940 is 4902631575.

It is a junction number, because it is equal to n+sod(n) for n = 57513620892 and 57513620901.

It is not an unprimeable number, because it can be changed into a prime (57513620947) 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, 7936959 + ... + 7944201.

It is an arithmetic number, because the mean of its divisors is an integer number (1697703840).

Almost surely, 257513620940 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 57513620940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81489784320).

57513620940 is an abundant number, since it is smaller than the sum of its proper divisors (105465947700).

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

57513620940 is a wasteful number, since it uses less digits than its factorization.

57513620940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8831 (or 8829 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 42.

The spelling of 57513620940 in words is "fifty-seven billion, five hundred thirteen million, six hundred twenty thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 89 178 267 356 445 534 890 1068 1335 1487 1780 2670 2974 4461 5340 5948 7243 7435 8922 14486 14870 17844 21729 22305 28972 29740 36215 43458 44610 72430 86916 89220 108645 132343 144860 217290 264686 397029 434580 529372 644627 661715 794058 1289254 1323430 1588116 1933881 1985145 2578508 2646860 3223135 3867762 3970290 6446270 7735524 7940580 9669405 10770341 12892540 19338810 21540682 32311023 38677620 43081364 53851705 64622046 107703410 129244092 161555115 215406820 323110230 646220460 958560349 1917120698 2875681047 3834241396 4792801745 5751362094 9585603490 11502724188 14378405235 19171206980 28756810470 57513620940