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8190990918 = 2331177317839
BaseRepresentation
bin1111010000011100…
…01001101001000110
3210010211210110012000
413220032021221012
5113233343202133
63432441210130
7406660162665
oct75016115106
923124713160
108190990918
113523667790
121707190946
13a06c948b6
14579bc2ddc
1532e175413
hex1e8389a46

8190990918 has 64 divisors (see below), whose sum is σ = 19883750400. Its totient is φ = 2478768480.

The previous prime is 8190990889. The next prime is 8190990967.

8190990918 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 450243 + ... + 468081.

It is an arithmetic number, because the mean of its divisors is an integer number (310683600).

Almost surely, 28190990918 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8190990918, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9941875200).

8190990918 is an abundant number, since it is smaller than the sum of its proper divisors (11692759482).

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

8190990918 is a wasteful number, since it uses less digits than its factorization.

8190990918 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18634 (or 18628 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 54.

The square root of 8190990918 is about 90504.0933770401. The cubic root of 8190990918 is about 2015.7909053619.

The spelling of 8190990918 in words is "eight billion, one hundred ninety million, nine hundred ninety thousand, nine hundred eighteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 773 1546 2319 4638 6957 8503 13914 17006 17839 20871 25509 35678 41742 51018 53517 76527 107034 153054 160551 196229 229581 321102 392458 459162 481653 588687 963306 1177374 1766061 3532122 5298183 10596366 13789547 27579094 41368641 82737282 124105923 151685017 248211846 303370034 372317769 455055051 744635538 910110102 1365165153 2730330306 4095495459 8190990918