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57059906490 = 235549947057
BaseRepresentation
bin110101001001000010…
…010001001110111010
312110021121021120200000
4311021002101032322
51413324314001430
642113555453430
74056666126336
oct651102211672
9173247246600
1057059906490
1122220914314
12b0852b7276
1354c45bc1a2
142a942027c6
15173e593e60
hexd490913ba

57059906490 has 96 divisors (see below), whose sum is σ = 154162008000. Its totient is φ = 15185159424.

The previous prime is 57059906447. The next prime is 57059906503. The reversal of 57059906490 is 9460995075.

57059906490 is a `hidden beast` number, since 5 + 7 + 0 + 599 + 0 + 6 + 49 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1189042 + ... + 1236098.

It is an arithmetic number, because the mean of its divisors is an integer number (1605854250).

Almost surely, 257059906490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57059906490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77081004000).

57059906490 is an abundant number, since it is smaller than the sum of its proper divisors (97102101510).

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

57059906490 is a wasteful number, since it uses less digits than its factorization.

57059906490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47578 (or 47566 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 54.

The spelling of 57059906490 in words is "fifty-seven billion, fifty-nine million, nine hundred six thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 499 810 998 1215 1497 2430 2495 2994 4491 4990 7485 8982 13473 14970 22455 26946 40419 44910 47057 67365 80838 94114 121257 134730 141171 202095 235285 242514 282342 404190 423513 470570 606285 705855 847026 1212570 1270539 1411710 2117565 2541078 3811617 4235130 6352695 7623234 11434851 12705390 19058085 22869702 23481443 38116170 46962886 57174255 70444329 114348510 117407215 140888658 211332987 234814430 352221645 422665974 633998961 704443290 1056664935 1267997922 1901996883 2113329870 3169994805 3803993766 5705990649 6339989610 9509984415 11411981298 19019968830 28529953245 57059906490