Search a number
-
+
57021850272 = 25311346311353
BaseRepresentation
bin110101000110110001…
…000110001010100000
312110011221200010100110
4311012301012022200
51413240043202042
642110120051320
74056024505302
oct650661061240
9173157603313
1057021850272
11222013910a2
12b074603b40
1354b975630a
142a8d137972
15173b07809c
hexd46c462a0

57021850272 has 96 divisors (see below), whose sum is σ = 151346458368. Its totient is φ = 18796732416.

The previous prime is 57021850261. The next prime is 57021850273. The reversal of 57021850272 is 27205812075.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 57021850272.

It is not an unprimeable number, because it can be changed into a prime (57021850273) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5016948 + ... + 5028300.

It is an arithmetic number, because the mean of its divisors is an integer number (1576525608).

Almost surely, 257021850272 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 57021850272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75673229184).

57021850272 is an abundant number, since it is smaller than the sum of its proper divisors (94324608096).

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

57021850272 is a wasteful number, since it uses less digits than its factorization.

57021850272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11942 (or 11934 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 39.

The spelling of 57021850272 in words is "fifty-seven billion, twenty-one million, eight hundred fifty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 113 226 339 452 463 678 904 926 1356 1389 1808 1852 2712 2778 3616 3704 5424 5556 7408 10848 11112 11353 14816 22224 22706 34059 44448 45412 52319 68118 90824 104638 136236 156957 181648 209276 272472 313914 363296 418552 544944 627828 837104 1089888 1255656 1282889 1674208 2511312 2565778 3848667 5022624 5131556 5256439 7697334 10263112 10512878 15394668 15769317 20526224 21025756 30789336 31538634 41052448 42051512 61578672 63077268 84103024 123157344 126154536 168206048 252309072 504618144 593977607 1187955214 1781932821 2375910428 3563865642 4751820856 7127731284 9503641712 14255462568 19007283424 28510925136 57021850272