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8290019672 = 2311175993923
BaseRepresentation
bin1111011100001111…
…11010100101011000
3210101202010122002122
413232013322211120
5113434221112142
63450335520412
7412302001364
oct75607724530
923352118078
108290019672
113574555530
121734389108
13a216582ac
145890002a4
15337bd71d2
hex1ee1fa958

8290019672 has 64 divisors (see below), whose sum is σ = 18258825600. Its totient is φ = 3486384640.

The previous prime is 8290019671. The next prime is 8290019677. The reversal of 8290019672 is 2769100928.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8290019671) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 41303 + ... + 135225.

It is an arithmetic number, because the mean of its divisors is an integer number (285294150).

Almost surely, 28290019672 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 8290019672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9129412800).

8290019672 is an abundant number, since it is smaller than the sum of its proper divisors (9968805928).

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

8290019672 is a wasteful number, since it uses less digits than its factorization.

8290019672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94016 (or 94012 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 44.

The square root of 8290019672 is about 91049.5451498798. The cubic root of 8290019672 is about 2023.8819960417.

The spelling of 8290019672 in words is "eight billion, two hundred ninety million, nineteen thousand, six hundred seventy-two".

Divisors: 1 2 4 8 11 17 22 34 44 59 68 88 118 136 187 236 374 472 649 748 1003 1298 1496 2006 2596 4012 5192 8024 11033 22066 44132 88264 93923 187846 375692 751384 1033153 1596691 2066306 3193382 4132612 5541457 6386764 8265224 11082914 12773528 17563601 22165828 35127202 44331656 60956027 70254404 94204769 121912054 140508808 188409538 243824108 376819076 487648216 753638152 1036252459 2072504918 4145009836 8290019672