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48896567964 = 223231213110789
BaseRepresentation
bin101101100010011101…
…100110101010011100
311200012200112000102200
4231202131212222130
51300120010133324
634243543051500
73350462653506
oct554235465234
9150180460380
1048896567964
1119811924252
129587440b90
1347c3289b6a
14251bd7ad76
151412a81ec9
hexb62766a9c

48896567964 has 108 divisors (see below), whose sum is σ = 128702213640. Its totient is φ = 15651230400.

The previous prime is 48896567959. The next prime is 48896567977. The reversal of 48896567964 is 46976569884.

48896567964 is a `hidden beast` number, since 488 + 9 + 6 + 56 + 7 + 96 + 4 = 666.

It is a super-2 number, since 2×488965679642 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 48896567892 and 48896567901.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4526682 + ... + 4537470.

Almost surely, 248896567964 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 48896567964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64351106820).

48896567964 is an abundant number, since it is smaller than the sum of its proper divisors (79805645676).

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

48896567964 is a wasteful number, since it uses less digits than its factorization.

48896567964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10992 (or 10956 counting only the distinct ones).

The product of its digits is 627056640, while the sum is 72.

The spelling of 48896567964 in words is "forty-eight billion, eight hundred ninety-six million, five hundred sixty-seven thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 131 186 262 279 372 393 524 558 786 961 1116 1179 1572 1922 2358 2883 3844 4061 4716 5766 8122 8649 10789 11532 12183 16244 17298 21578 24366 32367 34596 36549 43156 48732 64734 73098 97101 125891 129468 146196 194202 251782 334459 377673 388404 503564 668918 755346 1003377 1133019 1337836 1413359 1510692 2006754 2266038 2826718 3010131 4013508 4240077 4532076 5653436 6020262 8480154 10368229 12040524 12720231 16960308 20736458 25440462 31104687 41472916 43814129 50880924 62209374 87628258 93314061 124418748 131442387 175256516 186628122 262884774 373256244 394327161 525769548 788654322 1358237999 1577308644 2716475998 4074713997 5432951996 8149427994 12224141991 16298855988 24448283982 48896567964