Search a number
-
+
68468747688 = 23331146916143
BaseRepresentation
bin111111110001000011…
…100010110110101000
320112201201000202121000
4333301003202312220
52110210444411223
651242030515000
74642501516125
oct776103426650
9215651022530
1068468747688
11270459065a0
121132a065a60
1365c21323b3
1434574d974c
151baae91543
hexff10e2da8

68468747688 has 128 divisors (see below), whose sum is σ = 207559065600. Its totient is φ = 20740305600.

The previous prime is 68468747663. The next prime is 68468747701. The reversal of 68468747688 is 88674786486.

68468747688 is a `hidden beast` number, since 68 + 468 + 7 + 47 + 68 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 31 ways as a sum of consecutive naturals, for example, 11142745 + ... + 11148887.

It is an arithmetic number, because the mean of its divisors is an integer number (1621555200).

Almost surely, 268468747688 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 68468747688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103779532800).

68468747688 is an abundant number, since it is smaller than the sum of its proper divisors (139090317912).

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

68468747688 is a wasteful number, since it uses less digits than its factorization.

68468747688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10860 (or 10850 counting only the distinct ones).

The product of its digits is 693633024, while the sum is 72.

The spelling of 68468747688 in words is "sixty-eight billion, four hundred sixty-eight million, seven hundred forty-seven thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1188 2376 4691 6143 9382 12286 14073 18429 18764 24572 28146 36858 37528 42219 49144 51601 55287 56292 67573 73716 84438 103202 110574 112584 126657 135146 147432 154803 165861 168876 202719 206404 221148 253314 270292 309606 331722 337752 405438 412808 442296 464409 506628 540584 608157 619212 663444 810876 928818 1013256 1216314 1238424 1326888 1393227 1621752 1824471 1857636 2432628 2786454 3648942 3715272 4865256 5572908 7297884 11145816 14595768 28816813 57633626 86450439 115267252 172900878 230534504 259351317 316984943 345801756 518702634 633969886 691603512 778053951 950954829 1037405268 1267939772 1556107902 1901909658 2074810536 2535879544 2852864487 3112215804 3803819316 5705728974 6224431608 7607638632 8558593461 11411457948 17117186922 22822915896 34234373844 68468747688