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54606916746 = 235179627709
BaseRepresentation
bin110010110110110100…
…110110110010001010
312012221122112210100000
4302312310312302022
51343313332313441
641030331423430
73642132063624
oct626664666212
9165848483300
1054606916746
11211821a9868
12a6bb8b4b76
1351c333c375
14290050bc14
1516490522b6
hexcb6d36c8a

54606916746 has 48 divisors (see below), whose sum is σ = 123382677600. Its totient is φ = 18100587888.

The previous prime is 54606916729. The next prime is 54606916753. The reversal of 54606916746 is 64761960645.

54606916746 is a `hidden beast` number, since 546 + 0 + 6 + 91 + 6 + 7 + 4 + 6 = 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 = 54606916692 and 54606916701.

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 23 ways as a sum of consecutive naturals, for example, 226861 + ... + 400848.

It is an arithmetic number, because the mean of its divisors is an integer number (2570472450).

Almost surely, 254606916746 is an apocalyptic number.

54606916746 is an abundant number, since it is smaller than the sum of its proper divisors (68775760854).

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

54606916746 is a wasteful number, since it uses less digits than its factorization.

54606916746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627905 (or 627893 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 54606916746 in words is "fifty-four billion, six hundred six million, nine hundred sixteen thousand, seven hundred forty-six".

Divisors: 1 2 3 6 9 18 27 54 81 162 179 243 358 486 537 1074 1611 3222 4833 9666 14499 28998 43497 86994 627709 1255418 1883127 3766254 5649381 11298762 16948143 33896286 50844429 101688858 112359911 152533287 224719822 305066574 337079733 674159466 1011239199 2022478398 3033717597 6067435194 9101152791 18202305582 27303458373 54606916746