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5681379676 = 2272294124379
BaseRepresentation
bin1010100101010001…
…01111100101011100
3112122221111222202111
411102220233211130
543113413122201
62335431403404
7260534634100
oct52250574534
915587458674
105681379676
112455a99705
121126823564
136c707b82b
143bc78d900
15233b9bb51
hex152a2f95c

5681379676 has 72 divisors (see below), whose sum is σ = 12256801200. Its totient is φ = 2293482240.

The previous prime is 5681379653. The next prime is 5681379701. The reversal of 5681379676 is 6769731865.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a self number, because there is not a number n which added to its sum of digits gives 5681379676.

It is a congruent number.

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, 220855 + ... + 245233.

It is an arithmetic number, because the mean of its divisors is an integer number (170233350).

Almost surely, 25681379676 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 5681379676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6128400600).

5681379676 is an abundant number, since it is smaller than the sum of its proper divisors (6575421524).

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

5681379676 is a wasteful number, since it uses less digits than its factorization.

5681379676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24467 (or 24458 counting only the distinct ones).

The product of its digits is 11430720, while the sum is 58.

The square root of 5681379676 is about 75374.9273697826. The cubic root of 5681379676 is about 1784.3687323076.

The spelling of 5681379676 in words is "five billion, six hundred eighty-one million, three hundred seventy-nine thousand, six hundred seventy-six".

Divisors: 1 2 4 7 14 28 29 41 49 58 82 98 116 164 196 203 287 406 574 812 1148 1189 1421 2009 2378 2842 4018 4756 5684 8036 8323 16646 24379 33292 48758 58261 97516 116522 170653 233044 341306 682612 706991 999539 1194571 1413982 1999078 2389142 2827964 3998156 4778284 4948937 6996773 9897874 13993546 19795748 27987092 28986631 34642559 48977411 57973262 69285118 97954822 115946524 138570236 195909644 202906417 405812834 811625668 1420344919 2840689838 5681379676