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48853386432 = 2632277306191
BaseRepresentation
bin101101011111111000…
…111000010011000000
311200002200021011111200
4231133320320103000
51300022431331212
634235401341200
73346426635024
oct553770702300
9150080234450
1048853386432
111979a510334
129574a97800
1347b734b166
14251633a384
15140dda26dc
hexb5fe384c0

48853386432 has 84 divisors (see below), whose sum is σ = 140535391776. Its totient is φ = 16225620480.

The previous prime is 48853386419. The next prime is 48853386437. The reversal of 48853386432 is 23468335884.

48853386432 is a `hidden beast` number, since 4 + 88 + 53 + 3 + 86 + 432 = 666.

48853386432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 not an unprimeable number, because it can be changed into a prime (48853386437) 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, 6457 + ... + 312647.

Almost surely, 248853386432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48853386432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70267695888).

48853386432 is an abundant number, since it is smaller than the sum of its proper divisors (91682005344).

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

48853386432 is a wasteful number, since it uses less digits than its factorization.

48853386432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306486 (or 306473 counting only the distinct ones).

The product of its digits is 13271040, while the sum is 54.

The spelling of 48853386432 in words is "forty-eight billion, eight hundred fifty-three million, three hundred eighty-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 277 288 554 576 831 1108 1662 2216 2493 3324 4432 4986 6648 8864 9972 13296 17728 19944 26592 39888 53184 79776 159552 306191 612382 918573 1224764 1837146 2449528 2755719 3674292 4899056 5511438 7348584 9798112 11022876 14697168 19596224 22045752 29394336 44091504 58788672 84814907 88183008 169629814 176366016 254444721 339259628 508889442 678519256 763334163 1017778884 1357038512 1526668326 2035557768 2714077024 3053336652 4071115536 5428154048 6106673304 8142231072 12213346608 16284462144 24426693216 48853386432