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54745747344 = 243471594959
BaseRepresentation
bin110010111111000110…
…011100111110010000
312020022022210010010000
4302333012130332100
51344104402403334
641052211210000
73645436113561
oct627706347620
9166268703100
1054745747344
11212436022a2
12a73a2a6900
13521602a352
142914b2a168
151656327299
hexcbf19cf90

54745747344 has 100 divisors (see below), whose sum is σ = 160682037120. Its totient is φ = 17991529920.

The previous prime is 54745747313. The next prime is 54745747349. The reversal of 54745747344 is 44374754745.

54745747344 is a `hidden beast` number, since 54 + 74 + 57 + 473 + 4 + 4 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (54745747349) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 205464 + ... + 389495.

Almost surely, 254745747344 is an apocalyptic number.

54745747344 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

54745747344 is an abundant number, since it is smaller than the sum of its proper divisors (105936289776).

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

54745747344 is a wasteful number, since it uses less digits than its factorization.

54745747344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595050 (or 595035 counting only the distinct ones).

The product of its digits is 26342400, while the sum is 54.

The spelling of 54745747344 in words is "fifty-four billion, seven hundred forty-five million, seven hundred forty-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 71 72 81 108 142 144 162 213 216 284 324 426 432 568 639 648 852 1136 1278 1296 1704 1917 2556 3408 3834 5112 5751 7668 10224 11502 15336 23004 30672 46008 92016 594959 1189918 1784877 2379836 3569754 4759672 5354631 7139508 9519344 10709262 14279016 16063893 21418524 28558032 32127786 42242089 42837048 48191679 64255572 84484178 85674096 96383358 126726267 128511144 168968356 192766716 253452534 257022288 337936712 380178801 385533432 506905068 675873424 760357602 771066864 1013810136 1140536403 1520715204 2027620272 2281072806 3041430408 3421609209 4562145612 6082860816 6843218418 9124291224 13686436836 18248582448 27372873672 54745747344