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742311391824 = 24331718313407
BaseRepresentation
bin10101100110101010011…
…01001111001001010000
32121222000221211210202000
422303111031033021100
544130223204014244
61325002501154000
7104426111503002
oct12632515171120
92558027753660
10742311391824
112668a3479612
12bba466bb900
1354ccc352872
1427cdc868372
1514498961169
hexacd534f250

742311391824 has 40 divisors (see below), whose sum is σ = 2130708625920. Its totient is φ = 247437130464.

The previous prime is 742311391781. The next prime is 742311391849. The reversal of 742311391824 is 428193113247.

742311391824 is a `hidden beast` number, since 7 + 4 + 231 + 1 + 391 + 8 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 742311391824.

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 7 ways as a sum of consecutive naturals, for example, 859156272 + ... + 859157135.

It is an arithmetic number, because the mean of its divisors is an integer number (53267715648).

Almost surely, 2742311391824 is an apocalyptic number.

It is an amenable number.

742311391824 is an abundant number, since it is smaller than the sum of its proper divisors (1388397234096).

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

742311391824 is a wasteful number, since it uses less digits than its factorization.

742311391824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1718313424 (or 1718313412 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The spelling of 742311391824 in words is "seven hundred forty-two billion, three hundred eleven million, three hundred ninety-one thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 1718313407 3436626814 5154940221 6873253628 10309880442 13746507256 15464820663 20619760884 27493014512 30929641326 41239521768 46394461989 61859282652 82479043536 92788923978 123718565304 185577847956 247437130608 371155695912 742311391824