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54287154864 = 24323124150461
BaseRepresentation
bin110010100011110001…
…000011111010110000
312012010100212012111100
4302203301003322300
51342140002423424
640534510044400
73631200126345
oct624361037260
9165110765440
1054287154864
1121028757a48
12a6307a9700
135172012657
1428adc727cc
15162ae3cdc9
hexca3c43eb0

54287154864 has 120 divisors (see below), whose sum is σ = 157483424384. Its totient is φ = 17438976000.

The previous prime is 54287154847. The next prime is 54287154893. The reversal of 54287154864 is 46845178245.

54287154864 is a `hidden beast` number, since 5 + 4 + 28 + 71 + 548 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 54287154864.

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 23 ways as a sum of consecutive naturals, for example, 1050594 + ... + 1101054.

Almost surely, 254287154864 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 54287154864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78741712192).

54287154864 is an abundant number, since it is smaller than the sum of its proper divisors (103196269520).

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

54287154864 is a wasteful number, since it uses less digits than its factorization.

54287154864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50747 (or 50738 counting only the distinct ones).

The product of its digits is 8601600, while the sum is 54.

The spelling of 54287154864 in words is "fifty-four billion, two hundred eighty-seven million, one hundred fifty-four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 241 248 279 372 482 496 558 723 744 964 1116 1446 1488 1928 2169 2232 2892 3856 4338 4464 5784 7471 8676 11568 14942 17352 22413 29884 34704 44826 50461 59768 67239 89652 100922 119536 134478 151383 179304 201844 268956 302766 358608 403688 454149 537912 605532 807376 908298 1075824 1211064 1564291 1816596 2422128 3128582 3633192 4692873 6257164 7266384 9385746 12161101 12514328 14078619 18771492 24322202 25028656 28157238 36483303 37542984 48644404 56314476 72966606 75085968 97288808 109449909 112628952 145933212 194577616 218899818 225257904 291866424 376994131 437799636 583732848 753988262 875599272 1130982393 1507976524 1751198544 2261964786 3015953048 3392947179 4523929572 6031906096 6785894358 9047859144 13571788716 18095718288 27143577432 54287154864