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48802462848 = 273390715569
BaseRepresentation
bin101101011100110110…
…100111110010000000
311122222010102222111000
4231130312213302000
51244421412302343
634230342052000
73345241042536
oct553466476200
9148863388430
1048802462848
1119773799727
12955ba1a000
1347a992b569
14250d682156
151409693ed3
hexb5cda7c80

48802462848 has 128 divisors (see below), whose sum is σ = 144203112000. Its totient is φ = 16248508416.

The previous prime is 48802462817. The next prime is 48802462861. The reversal of 48802462848 is 84826420884.

48802462848 is a `hidden beast` number, since 4 + 8 + 8 + 0 + 2 + 4 + 628 + 4 + 8 = 666.

48802462848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×488024628482 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 48802462794 and 48802462803.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3126808 + ... + 3142376.

Almost surely, 248802462848 is an apocalyptic number.

48802462848 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48802462848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72101556000).

48802462848 is an abundant number, since it is smaller than the sum of its proper divisors (95400649152).

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

48802462848 is a wasteful number, since it uses less digits than its factorization.

48802462848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16499 (or 16481 counting only the distinct ones).

The product of its (nonzero) digits is 6291456, while the sum is 54.

The spelling of 48802462848 in words is "forty-eight billion, eight hundred two million, four hundred sixty-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 907 1152 1728 1814 2721 3456 3628 5442 7256 8163 10884 14512 15569 16326 21768 24489 29024 31138 32652 43536 46707 48978 58048 62276 65304 87072 93414 97956 116096 124552 130608 140121 174144 186828 195912 249104 261216 280242 348288 373656 391824 420363 498208 522432 560484 747312 783648 840726 996416 1044864 1120968 1494624 1567296 1681452 1992832 2241936 2989248 3134592 3362904 4483872 5978496 6725808 8967744 13451616 14121083 17935488 26903232 28242166 42363249 53806464 56484332 84726498 112968664 127089747 169452996 225937328 254179494 338905992 381269241 451874656 508358988 677811984 762538482 903749312 1016717976 1355623968 1525076964 1807498624 2033435952 2711247936 3050153928 4066871904 5422495872 6100307856 8133743808 12200615712 16267487616 24401231424 48802462848