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68329848272 = 2473783257773
BaseRepresentation
bin111111101000110001…
…101011110111010000
320112101000122221102012
4333220301223313100
52104414420121042
651220145442052
74636164061430
oct775061536720
9215330587365
1068329848272
1126a84466394
12112ab640328
13659c41bcaa
143442ca02c0
151b9dba5e82
hexfe8c6bdd0

68329848272 has 160 divisors (see below), whose sum is σ = 158079382272. Its totient is φ = 28003663872.

The previous prime is 68329848211. The next prime is 68329848281. The reversal of 68329848272 is 27284892386.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88395278 + ... + 88396050.

Almost surely, 268329848272 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 68329848272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79039691136).

68329848272 is an abundant number, since it is smaller than the sum of its proper divisors (89749534000).

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

68329848272 is a wasteful number, since it uses less digits than its factorization.

68329848272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165 (or 1159 counting only the distinct ones).

The product of its digits is 18579456, while the sum is 59.

The spelling of 68329848272 in words is "sixty-eight billion, three hundred twenty-nine million, eight hundred forty-eight thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 37 56 74 83 112 148 166 257 259 296 332 514 518 581 592 664 773 1028 1036 1162 1328 1546 1799 2056 2072 2324 3071 3092 3598 4112 4144 4648 5411 6142 6184 7196 9296 9509 10822 12284 12368 14392 19018 21331 21497 21644 24568 28601 28784 38036 42662 42994 43288 49136 57202 64159 66563 76072 85324 85988 86576 114404 128318 133126 149317 152144 170648 171976 198661 200207 228808 256636 266252 298634 341296 343952 397322 400414 449113 457616 513272 532504 597268 789247 794644 800828 898226 1026544 1065008 1194536 1390627 1578494 1589288 1601656 1796452 2373883 2389072 2781254 3156988 3178576 3203312 3592904 4747766 5524729 5562508 6313976 7185808 7350457 9495532 11049458 11125016 12627952 14700914 16488863 16617181 18991064 22098916 22250032 29401828 32977726 33234362 37982128 44197832 51453199 58803656 65955452 66468724 88395664 102906398 115422041 117607312 131910904 132937448 205812796 230844082 263821808 265874896 411625592 461688164 610087931 823251184 923376328 1220175862 1846752656 2440351724 4270615517 4880703448 8541231034 9761406896 17082462068 34164924136 68329848272