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48130386561 = 32131199205141
BaseRepresentation
bin101100110100110010…
…110110101010000001
311121020021210222010200
4230310302312222001
51242032334332221
634035533115413
73322500351465
oct546462665201
9147207728120
1048130386561
1119459391884
1293b2928b69
13470061809a
1424882d64a5
1513ba68a426
hexb34cb6a81

48130386561 has 24 divisors (see below), whose sum is σ = 70404734400. Its totient is φ = 31681821600.

The previous prime is 48130386559. The next prime is 48130386607. The reversal of 48130386561 is 16568303184.

48130386561 is a `hidden beast` number, since 4 + 8 + 1 + 3 + 0 + 3 + 86 + 561 = 666.

It is not a de Polignac number, because 48130386561 - 21 = 48130386559 is a prime.

It is a super-2 number, since 2×481303865612 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (48130386461) 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 23 ways as a sum of consecutive naturals, for example, 132051 + ... + 337191.

It is an arithmetic number, because the mean of its divisors is an integer number (2933530600).

Almost surely, 248130386561 is an apocalyptic number.

It is an amenable number.

48130386561 is a deficient number, since it is larger than the sum of its proper divisors (22274347839).

48130386561 is a wasteful number, since it uses less digits than its factorization.

48130386561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205477 (or 205474 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 48130386561 in words is "forty-eight billion, one hundred thirty million, three hundred eighty-six thousand, five hundred sixty-one".

Divisors: 1 3 9 131 199 393 597 1179 1791 26069 78207 205141 234621 615423 1846269 26873471 40823059 80620413 122469177 241861239 367407531 5347820729 16043462187 48130386561