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3475645056 = 273213232081
BaseRepresentation
bin1100111100101010…
…0010001010000000
322222020001001200200
43033022202022000
524104231120211
61332515045200
7152062331652
oct31712421200
98866031620
103475645056
111523a02634
1280bba0800
134350bcc10
1424d85c6d2
151551eab56
hexcf2a2280

3475645056 has 96 divisors (see below), whose sum is σ = 10770925620. Its totient is φ = 1069424640.

The previous prime is 3475645051. The next prime is 3475645057. The reversal of 3475645056 is 6505465743.

3475645056 is a `hidden beast` number, since 34 + 7 + 564 + 5 + 0 + 56 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3432085056 + 43560000 = 58584^2 + 6600^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (3475645051) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 101065 + ... + 131016.

Almost surely, 23475645056 is an apocalyptic number.

3475645056 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3475645056 is an abundant number, since it is smaller than the sum of its proper divisors (7295280564).

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

3475645056 is a wasteful number, since it uses less digits than its factorization.

3475645056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232114 (or 232099 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 45.

The square root of 3475645056 is about 58954.6016524580. The cubic root of 3475645056 is about 1514.7645734228.

The spelling of 3475645056 in words is "three billion, four hundred seventy-five million, six hundred forty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 288 312 384 416 468 576 624 832 936 1152 1248 1664 1872 2496 3744 4992 7488 14976 232081 464162 696243 928324 1392486 1856648 2088729 2784972 3017053 3713296 4177458 5569944 6034106 7426592 8354916 9051159 11139888 12068212 14853184 16709832 18102318 22279776 24136424 27153477 29706368 33419664 36204636 44559552 48272848 54306954 66839328 72409272 89119104 96545696 108613908 133678656 144818544 193091392 217227816 267357312 289637088 386182784 434455632 579274176 868911264 1158548352 1737822528 3475645056