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57574916145 = 3251279442581
BaseRepresentation
bin110101100111101110…
…111000000000110001
312111121111100210002200
4311213232320000301
51420403134304040
642241034133413
74105521466245
oct654756700061
9174544323080
1057574916145
11224655a272a
12b1a9881269
1355771cb126
142b02784425
15176e8c4630
hexd67bb8031

57574916145 has 12 divisors (see below), whose sum is σ = 99796521396. Its totient is φ = 30706621920.

The previous prime is 57574916099. The next prime is 57574916167. The reversal of 57574916145 is 54161947575.

57574916145 is a `hidden beast` number, since 5 + 7 + 5 + 7 + 491 + 6 + 145 = 666.

57574916145 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 43979122944 + 13595793201 = 209712^2 + 116601^2 .

It is not a de Polignac number, because 57574916145 - 27 = 57574916017 is a prime.

It is a super-2 number, since 2×575749161452 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 57574916091 and 57574916100.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 639721246 + ... + 639721335.

It is an arithmetic number, because the mean of its divisors is an integer number (8316376783).

Almost surely, 257574916145 is an apocalyptic number.

It is an amenable number.

57574916145 is a deficient number, since it is larger than the sum of its proper divisors (42221605251).

57574916145 is a wasteful number, since it uses less digits than its factorization.

57574916145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1279442592 (or 1279442589 counting only the distinct ones).

The product of its digits is 5292000, while the sum is 54.

The spelling of 57574916145 in words is "fifty-seven billion, five hundred seventy-four million, nine hundred sixteen thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 45 1279442581 3838327743 6397212905 11514983229 19191638715 57574916145