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48359499495384 = 23371126168560333
BaseRepresentation
bin10101111111011100100101…
…10010011111011111011000
320100020010022200000222102010
422333232102302133133120
522314310223332323014
6250504014122105520
713120600323255120
oct1277562262373730
9210203280028363
1048359499495384
111445516a810090
12551048a64b2a0
1320ca386b46a0c
14bd28800a5c80
1558ce1cb7b359
hex2bfb92c9f7d8

48359499495384 has 64 divisors (see below), whose sum is σ = 150730907523840. Its totient is φ = 12560908959360.

The previous prime is 48359499495343. The next prime is 48359499495403.

48359499495384 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (84).

It is a junction number, because it is equal to n+sod(n) for n = 48359499495297 and 48359499495306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13084278319 + ... + 13084282014.

It is an arithmetic number, because the mean of its divisors is an integer number (2355170430060).

Almost surely, 248359499495384 is an apocalyptic number.

48359499495384 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

48359499495384 is an abundant number, since it is smaller than the sum of its proper divisors (102371408028456).

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

48359499495384 is a wasteful number, since it uses less digits than its factorization.

48359499495384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26168560360 (or 26168560356 counting only the distinct ones).

The product of its digits is 24186470400, while the sum is 84.

The spelling of 48359499495384 in words is "forty-eight trillion, three hundred fifty-nine billion, four hundred ninety-nine million, four hundred ninety-five thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 924 1848 26168560333 52337120666 78505680999 104674241332 157011361998 183179922331 209348482664 287854163663 314022723996 366359844662 549539766993 575708327326 628045447992 732719689324 863562490989 1099079533986 1151416654652 1465439378648 1727124981978 2014979145641 2198159067972 2302833309304 3454249963956 4029958291282 4396318135944 6044937436923 6908499927912 8059916582564 12089874873846 16119833165128 24179749747692 48359499495384