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57407751345 = 357673812393
BaseRepresentation
bin110101011101110001…
…001100010010110001
312111011211210221002210
4311131301030102301
51420032341020340
642212303202333
74101421556310
oct653561142261
9174154727083
1057407751345
112238a1a72aa
12b1618a63a9
13554b69c449
142ac84ac277
15175eda4180
hexd5dc4c4b1

57407751345 has 32 divisors (see below), whose sum is σ = 105130282752. Its totient is φ = 26204516352.

The previous prime is 57407751311. The next prime is 57407751353. The reversal of 57407751345 is 54315770475.

57407751345 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 57407751345 - 211 = 57407749297 is a prime.

It is a super-3 number, since 3×574077513453 (a number of 33 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 57407751294 and 57407751303.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 335532 + ... + 476861.

It is an arithmetic number, because the mean of its divisors is an integer number (3285321336).

Almost surely, 257407751345 is an apocalyptic number.

It is an amenable number.

57407751345 is a deficient number, since it is larger than the sum of its proper divisors (47722531407).

57407751345 is a wasteful number, since it uses less digits than its factorization.

57407751345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813081.

The product of its (nonzero) digits is 2058000, while the sum is 48.

The spelling of 57407751345 in words is "fifty-seven billion, four hundred seven million, seven hundred fifty-one thousand, three hundred forty-five".

Divisors: 1 3 5 7 15 21 35 105 673 2019 3365 4711 10095 14133 23555 70665 812393 2437179 4061965 5686751 12185895 17060253 28433755 85301265 546740489 1640221467 2733702445 3827183423 8201107335 11481550269 19135917115 57407751345