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57273084912 = 2438943930539
BaseRepresentation
bin110101010101101111…
…011110101111110000
312110211110102011111010
4311111233132233300
51414243402204122
642151052550520
74065165121641
oct652557365760
9173743364433
1057273084912
112232018842a
12b124782440
13552980b974
142ab46556c8
151753152e0c
hexd55bdebf0

57273084912 has 80 divisors (see below), whose sum is σ = 149963616000. Its totient is φ = 18832906752.

The previous prime is 57273084907. The next prime is 57273084919. The reversal of 57273084912 is 21948037275.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57273084919) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1860139 + ... + 1890677.

It is an arithmetic number, because the mean of its divisors is an integer number (1874545200).

Almost surely, 257273084912 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 57273084912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74981808000).

57273084912 is an abundant number, since it is smaller than the sum of its proper divisors (92690531088).

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

57273084912 is a wasteful number, since it uses less digits than its factorization.

57273084912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31078 (or 31072 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 57273084912 in words is "fifty-seven billion, two hundred seventy-three million, eighty-four thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 89 178 267 356 439 534 712 878 1068 1317 1424 1756 2136 2634 3512 4272 5268 7024 10536 21072 30539 39071 61078 78142 91617 117213 122156 156284 183234 234426 244312 312568 366468 468852 488624 625136 732936 937704 1465872 1875408 2717971 5435942 8153913 10871884 13406621 16307826 21743768 26813242 32615652 40219863 43487536 53626484 65231304 80439726 107252968 130462608 160879452 214505936 321758904 643517808 1193189269 2386378538 3579567807 4772757076 7159135614 9545514152 14318271228 19091028304 28636542456 57273084912