Search a number
-
+
57066125016 = 23319829150959
BaseRepresentation
bin110101001001011001…
…111111011011011000
312110022000222111212210
4311021121333123120
51413332412000031
642114341035120
74060103026215
oct651131773330
9173260874783
1057066125016
112222438139a
12b0873b5aa0
1354c59887a4
142a94d80b0c
15173edc1746
hexd4967f6d8

57066125016 has 64 divisors (see below), whose sum is σ = 150356160000. Its totient is φ = 17999024256.

The previous prime is 57066124993. The next prime is 57066125021. The reversal of 57066125016 is 61052166075.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 302545 + ... + 453503.

It is an arithmetic number, because the mean of its divisors is an integer number (2349315000).

Almost surely, 257066125016 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 57066125016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75178080000).

57066125016 is an abundant number, since it is smaller than the sum of its proper divisors (93290034984).

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

57066125016 is a wasteful number, since it uses less digits than its factorization.

57066125016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151816 (or 151812 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 39.

The spelling of 57066125016 in words is "fifty-seven billion, sixty-six million, one hundred twenty-five thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 829 1658 2487 3316 4974 6632 9948 15751 19896 31502 47253 63004 94506 126008 150959 189012 301918 378024 452877 603836 905754 1207672 1811508 2868221 3623016 5736442 8604663 11472884 17209326 22945768 34418652 68837304 125145011 250290022 375435033 500580044 750870066 1001160088 1501740132 2377755209 3003480264 4755510418 7133265627 9511020836 14266531254 19022041672 28533062508 57066125016