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20460450744 = 2333412310349
BaseRepresentation
bin10011000011100010…
…011011001110111000
31221210220221120221000
4103003202123032320
5313400333410434
613222134245000
71323012650616
oct230342331670
957726846830
1020460450744
11874a433528
123b701b6760
131c10bc33b6
14dc15046b6
157eb3c0b99
hex4c389b3b8

20460450744 has 64 divisors (see below), whose sum is σ = 58220820000. Its totient is φ = 6653802240.

The previous prime is 20460450737. The next prime is 20460450761. The reversal of 20460450744 is 44705406402.

20460450744 is a `hidden beast` number, since 2 + 0 + 4 + 604 + 5 + 0 + 7 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20460450699 and 20460450708.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1146319 + ... + 1164030.

Almost surely, 220460450744 is an apocalyptic number.

20460450744 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20460450744 is an abundant number, since it is smaller than the sum of its proper divisors (37760369256).

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

20460450744 is a wasteful number, since it uses less digits than its factorization.

20460450744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2310405 (or 2310395 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The spelling of 20460450744 in words is "twenty billion, four hundred sixty million, four hundred fifty thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 54 72 82 108 123 164 216 246 328 369 492 738 984 1107 1476 2214 2952 4428 8856 2310349 4620698 6931047 9241396 13862094 18482792 20793141 27724188 41586282 55448376 62379423 83172564 94724309 124758846 166345128 189448618 249517692 284172927 378897236 499035384 568345854 757794472 852518781 1136691708 1705037562 2273383416 2557556343 3410075124 5115112686 6820150248 10230225372 20460450744