Search a number
-
+
30575326464 = 283213270541
BaseRepresentation
bin11100011110011011…
…100111010100000000
32220220211212111220200
4130132123213110000
51000104240421324
622013543205200
72131453662324
oct343633472400
986824774820
1030575326464
1111a6aa7a351
125b13746800
132b63632267
1416a0a0b984
15bde3c0ec9
hex71e6e7500

30575326464 has 54 divisors (see below), whose sum is σ = 88156210506. Its totient is φ = 10191774720.

The previous prime is 30575326423. The next prime is 30575326469. The reversal of 30575326464 is 46462357503.

30575326464 is a `hidden beast` number, since 3 + 0 + 57 + 532 + 6 + 4 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 15827652864 + 14747673600 = 125808^2 + 121440^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30575326469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6632967 + ... + 6637574.

Almost surely, 230575326464 is an apocalyptic number.

It is an amenable number.

30575326464 is an abundant number, since it is smaller than the sum of its proper divisors (57580884042).

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

30575326464 is a wasteful number, since it uses less digits than its factorization.

30575326464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13270563 (or 13270546 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 45.

The spelling of 30575326464 in words is "thirty billion, five hundred seventy-five million, three hundred twenty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 13270541 26541082 39811623 53082164 79623246 106164328 119434869 159246492 212328656 238869738 318492984 424657312 477739476 636985968 849314624 955478952 1273971936 1698629248 1910957904 2547943872 3397258496 3821915808 5095887744 7643831616 10191775488 15287663232 30575326464