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68929872576 = 26316710692011
BaseRepresentation
bin100000000110010001…
…0100110001011000000
320120220211201100000120
41000030202212023000
52112132021410301
651355502220240
74660101151425
oct1001442461300
9216824640016
1068929872576
1127262130544
1211438584680
136666825966
14349c851d4c
151bd66cae36
hex100c8a62c0

68929872576 has 112 divisors (see below), whose sum is σ = 183731976960. Its totient is φ = 22806328320.

The previous prime is 68929872569. The next prime is 68929872593. The reversal of 68929872576 is 67527892986.

It is a self number, because there is not a number n which added to its sum of digits gives 68929872576.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34275411 + ... + 34277421.

It is an arithmetic number, because the mean of its divisors is an integer number (1640464080).

Almost surely, 268929872576 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 68929872576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91865988480).

68929872576 is an abundant number, since it is smaller than the sum of its proper divisors (114802104384).

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

68929872576 is a wasteful number, since it uses less digits than its factorization.

68929872576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3262 (or 3252 counting only the distinct ones).

The product of its digits is 182891520, while the sum is 69.

The spelling of 68929872576 in words is "sixty-eight billion, nine hundred twenty-nine million, eight hundred seventy-two thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 167 192 334 501 668 1002 1069 1336 2004 2011 2138 2672 3207 4008 4022 4276 5344 6033 6414 8016 8044 8552 10688 12066 12828 16032 16088 17104 24132 25656 32064 32176 34208 48264 51312 64352 68416 96528 102624 128704 178523 193056 205248 335837 357046 386112 535569 671674 714092 1007511 1071138 1343348 1428184 2015022 2142276 2149759 2686696 2856368 4030044 4284552 4299518 5373392 5712736 6449277 8060088 8569104 8599036 10746784 11425472 12898554 16120176 17138208 17198072 21493568 25797108 32240352 34276416 34396144 51594216 64480704 68792288 103188432 137584576 206376864 359009753 412753728 718019506 1077029259 1436039012 2154058518 2872078024 4308117036 5744156048 8616234072 11488312096 17232468144 22976624192 34464936288 68929872576