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54739414512 = 24322367724413
BaseRepresentation
bin110010111110101110…
…010010110111110000
312020021212212101002200
4302332232102313300
51344101242231022
641051423343200
73645331226526
oct627656226760
9166255771080
1054739414512
112123aa77352
12a738151b00
135214920a03
142913d5c316
1516559c5bac
hexcbeb92df0

54739414512 has 120 divisors (see below), whose sum is σ = 160097637024. Its totient is φ = 17426652672.

The previous prime is 54739414507. The next prime is 54739414549. The reversal of 54739414512 is 21541493745.

54739414512 is a `hidden beast` number, since 5 + 47 + 3 + 94 + 1 + 4 + 512 = 666.

It is a super-2 number, since 2×547394145122 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2230018 + ... + 2254430.

Almost surely, 254739414512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54739414512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80048818512).

54739414512 is an abundant number, since it is smaller than the sum of its proper divisors (105358222512).

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

54739414512 is a wasteful number, since it uses less digits than its factorization.

54739414512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25127 (or 25118 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The spelling of 54739414512 in words is "fifty-four billion, seven hundred thirty-nine million, four hundred fourteen thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 552 677 828 1104 1354 1656 2031 2708 3312 4062 5416 6093 8124 10832 12186 15571 16248 24372 24413 31142 32496 46713 48744 48826 62284 73239 93426 97488 97652 124568 140139 146478 186852 195304 219717 249136 280278 292956 373704 390608 439434 560556 561499 585912 747408 878868 1121112 1122998 1171824 1684497 1757736 2242224 2245996 3368994 3515472 4491992 5053491 6737988 8983984 10106982 13475976 16527601 20213964 26951952 33055202 40427928 49582803 66110404 80855856 99165606 132220808 148748409 198331212 264441616 297496818 380134823 396662424 594993636 760269646 793324848 1140404469 1189987272 1520539292 2280808938 2379974544 3041078584 3421213407 4561617876 6082157168 6842426814 9123235752 13684853628 18246471504 27369707256 54739414512