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68138336364 = 22375373209659
BaseRepresentation
bin111111011101010111…
…001000000001101100
320111212200022010110120
4333131113020001230
52104021403230424
651145145004540
74631350205610
oct773527100154
9214780263416
1068138336364
112699635068a
1211257483750
13656b847337
14342568b340
151b8be76a79
hexfdd5c806c

68138336364 has 96 divisors (see below), whose sum is σ = 187667504640. Its totient is φ = 18839029248.

The previous prime is 68138336323. The next prime is 68138336393. The reversal of 68138336364 is 46363383186.

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, 220167 + ... + 429825.

It is an arithmetic number, because the mean of its divisors is an integer number (1954869840).

Almost surely, 268138336364 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 68138336364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93833752320).

68138336364 is an abundant number, since it is smaller than the sum of its proper divisors (119529168276).

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

68138336364 is a wasteful number, since it uses less digits than its factorization.

68138336364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209799 (or 209797 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 51.

The spelling of 68138336364 in words is "sixty-eight billion, one hundred thirty-eight million, three hundred thirty-six thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 53 73 84 106 146 159 212 219 292 318 371 438 511 636 742 876 1022 1113 1484 1533 2044 2226 3066 3869 4452 6132 7738 11607 15476 23214 27083 46428 54166 81249 108332 162498 209659 324996 419318 628977 838636 1257954 1467613 2515908 2935226 4402839 5870452 8805678 11111927 15305107 17611356 22223854 30610214 33335781 44447708 45915321 61220428 66671562 77783489 91830642 107135749 133343124 155566978 183661284 214271498 233350467 311133956 321407247 428542996 466700934 642814494 811170671 933401868 1285628988 1622341342 2433512013 3244682684 4867024026 5678194697 9734048052 11356389394 17034584091 22712778788 34069168182 68138336364