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63416707344 = 24325356314759
BaseRepresentation
bin111011000011111011…
…100010100100010000
320001200121201112002200
4323003323202210100
52014334134113334
645044440043200
74403345055414
oct730373424420
9201617645080
1063416707344
1124993094941
121035a163500
135c98582803
1430d856cd44
1519b26aa799
hexec3ee2910

63416707344 has 120 divisors (see below), whose sum is σ = 181160815680. Its totient is φ = 20701814016.

The previous prime is 63416707327. The next prime is 63416707363. The reversal of 63416707344 is 44370761436.

63416707344 is a `hidden beast` number, since 63 + 416 + 70 + 73 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 63416707344.

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, 4289437 + ... + 4304195.

It is an arithmetic number, because the mean of its divisors is an integer number (1509673464).

Almost surely, 263416707344 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 63416707344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90580407840).

63416707344 is an abundant number, since it is smaller than the sum of its proper divisors (117744108336).

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

63416707344 is a wasteful number, since it uses less digits than its factorization.

63416707344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15389 (or 15380 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 63416707344 in words is "sixty-three billion, four hundred sixteen million, seven hundred seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 53 72 106 144 159 212 318 424 477 563 636 848 954 1126 1272 1689 1908 2252 2544 3378 3816 4504 5067 6756 7632 9008 10134 13512 14759 20268 27024 29518 29839 40536 44277 59036 59678 81072 88554 89517 118072 119356 132831 177108 179034 236144 238712 265662 268551 354216 358068 477424 531324 537102 708432 716136 782227 1062648 1074204 1432272 1564454 2125296 2148408 2346681 3128908 4296816 4693362 6257816 7040043 8309317 9386724 12515632 14080086 16618634 18773448 24927951 28160172 33237268 37546896 49855902 56320344 66474536 74783853 99711804 112640688 132949072 149567706 199423608 299135412 398847216 440393801 598270824 880787602 1196541648 1321181403 1761575204 2642362806 3523150408 3963544209 5284725612 7046300816 7927088418 10569451224 15854176836 21138902448 31708353672 63416707344