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742490408385 = 33511499993541
BaseRepresentation
bin10101100110111111110…
…00001000010111000001
32121222111102200210022000
422303133320020113001
544131110021032020
61325032334134213
7104433414224115
oct12633770102701
92558442623260
10742490408385
1126698552a390
12bba96651369
135502a470c1b
1427d18547745
15144a9523090
hexacdfe085c1

742490408385 has 32 divisors (see below), whose sum is σ = 1439981400960. Its totient is φ = 359995348800.

The previous prime is 742490408369. The next prime is 742490408447. The reversal of 742490408385 is 583804094247.

742490408385 is a `hidden beast` number, since 74 + 2 + 4 + 90 + 408 + 3 + 85 = 666.

742490408385 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 742490408385 - 24 = 742490408369 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 249995286 + ... + 249998255.

It is an arithmetic number, because the mean of its divisors is an integer number (44999418780).

Almost surely, 2742490408385 is an apocalyptic number.

It is an amenable number.

742490408385 is a deficient number, since it is larger than the sum of its proper divisors (697490992575).

742490408385 is a wasteful number, since it uses less digits than its factorization.

742490408385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499993566 (or 499993560 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 742490408385 in words is "seven hundred forty-two billion, four hundred ninety million, four hundred eight thousand, three hundred eighty-five".

Divisors: 1 3 5 9 11 15 27 33 45 55 99 135 165 297 495 1485 499993541 1499980623 2499967705 4499941869 5499928951 7499903115 13499825607 16499786853 22499709345 27499644755 49499360559 67499128035 82498934265 148498081677 247496802795 742490408385