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813168311004 = 223371075619459
BaseRepresentation
bin10111101010101001001…
…10111011101011011100
32212201221002122020202000
423311110212323223130
5101310332041423004
61421321523002300
7112515032412210
oct13652446735334
92781832566660
10813168311004
11293954348755
12111720509390
135b8b218b98a
142b5011c4940
15162443ddc39
hexbd549bbadc

813168311004 has 48 divisors (see below), whose sum is σ = 2409387590400. Its totient is φ = 232333802928.

The previous prime is 813168310991. The next prime is 813168311041. The reversal of 813168311004 is 400113861318.

It is a super-2 number, since 2×8131683110042 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 813168311004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 537808974 + ... + 537810485.

It is an arithmetic number, because the mean of its divisors is an integer number (50195574800).

Almost surely, 2813168311004 is an apocalyptic number.

813168311004 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

813168311004 is an abundant number, since it is smaller than the sum of its proper divisors (1596219279396).

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

813168311004 is a wasteful number, since it uses less digits than its factorization.

813168311004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1075619479 (or 1075619471 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 813168311004 in words is "eight hundred thirteen billion, one hundred sixty-eight million, three hundred eleven thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 1075619459 2151238918 3226858377 4302477836 6453716754 7529336213 9680575131 12907433508 15058672426 19361150262 22588008639 29041725393 30117344852 38722300524 45176017278 58083450786 67764025917 90352034556 116166901572 135528051834 203292077751 271056103668 406584155502 813168311004