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42968346048 = 26348288647
BaseRepresentation
bin101000000001000111…
…001110110111000000
311002220112112010210000
4220001013032313000
51200444344033143
631423412440000
73050536625625
oct500107166700
9132815463700
1042968346048
111724a5693a1
1283b2019000
13408a033044
1421188d434c
1511b73c6bd3
hexa011cedc0

42968346048 has 70 divisors (see below), whose sum is σ = 127371653816. Its totient is φ = 14322780288.

The previous prime is 42968346017. The next prime is 42968346053. The reversal of 42968346048 is 84064386924.

42968346048 is a `hidden beast` number, since 4 + 29 + 6 + 8 + 3 + 4 + 604 + 8 = 666.

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 = 42968345985 and 42968346003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4139140 + ... + 4149507.

Almost surely, 242968346048 is an apocalyptic number.

42968346048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42968346048 is an abundant number, since it is smaller than the sum of its proper divisors (84403307768).

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

42968346048 is an equidigital number, since it uses as much as digits as its factorization.

42968346048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8288671 (or 8288652 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 42968346048 in words is "forty-two billion, nine hundred sixty-eight million, three hundred forty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 8288647 16577294 24865941 33154588 49731882 66309176 74597823 99463764 132618352 149195646 198927528 223793469 265236704 298391292 397855056 447586938 530473408 596782584 671380407 795710112 895173876 1193565168 1342760814 1591420224 1790347752 2387130336 2685521628 3580695504 4774260672 5371043256 7161391008 10742086512 14322782016 21484173024 42968346048