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48117743784 = 23321125523157
BaseRepresentation
bin101100110100000010…
…101000000010101000
311121012102000122111200
4230310002220002220
51242021120300114
634034402124200
73322255034205
oct546402500250
9147172018450
1048117743784
1119452237100
1293aa650660
1346cab0c656
142486764cac
1513b94de409
hexb340a80a8

48117743784 has 72 divisors (see below), whose sum is σ = 143243102730. Its totient is φ = 14581131840.

The previous prime is 48117743767. The next prime is 48117743797. The reversal of 48117743784 is 48734771184.

48117743784 is a `hidden beast` number, since 481 + 17 + 74 + 3 + 7 + 84 = 666.

It can be written as a sum of positive squares in only one way, i.e., 45080631684 + 3037112100 = 212322^2 + 55110^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 48117743784.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2752867 + ... + 2770290.

Almost surely, 248117743784 is an apocalyptic number.

48117743784 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

48117743784 is an abundant number, since it is smaller than the sum of its proper divisors (95125358946).

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

48117743784 is a wasteful number, since it uses less digits than its factorization.

48117743784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5523191 (or 5523173 counting only the distinct ones).

The product of its digits is 4214784, while the sum is 54.

The spelling of 48117743784 in words is "forty-eight billion, one hundred seventeen million, seven hundred forty-three thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 484 726 792 968 1089 1452 2178 2904 4356 8712 5523157 11046314 16569471 22092628 33138942 44185256 49708413 60754727 66277884 99416826 121509454 132555768 182264181 198833652 243018908 364528362 397667304 486037816 546792543 668301997 729056724 1093585086 1336603994 1458113448 2004905991 2187170172 2673207988 4009811982 4374340344 5346415976 6014717973 8019623964 12029435946 16039247928 24058871892 48117743784