Search a number
-
+
57001000506 = 2341936736173
BaseRepresentation
bin110101000101100001…
…100011111000111010
312110010111102211211220
4311011201203320322
51413214224004011
642104053132510
74055352336642
oct650541437072
9173114384756
1057001000506
11221a064038a
12b06962a136
1354b5336188
142a8a46b522
15173930a506
hexd45863e3a

57001000506 has 32 divisors (see below), whose sum is σ = 114323711040. Its totient is φ = 18946756224.

The previous prime is 57001000477. The next prime is 57001000549. The reversal of 57001000506 is 60500010075.

57001000506 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×570010005062 (a number of 22 digits) contains 22 as substring.

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, 9230836 + ... + 9237008.

It is an arithmetic number, because the mean of its divisors is an integer number (3572615970).

Almost surely, 257001000506 is an apocalyptic number.

57001000506 is an abundant number, since it is smaller than the sum of its proper divisors (57322710534).

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

57001000506 is a wasteful number, since it uses less digits than its factorization.

57001000506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10270.

The product of its (nonzero) digits is 1050, while the sum is 24.

The spelling of 57001000506 in words is "fifty-seven billion, one million, five hundred six", and thus it is an aban number.

Divisors: 1 2 3 6 419 838 1257 2514 3673 6173 7346 11019 12346 18519 22038 37038 1538987 2586487 3077974 4616961 5172974 7759461 9233922 15518922 22673429 45346858 68020287 136040574 9500166751 19000333502 28500500253 57001000506