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19918375380 = 22325176509273
BaseRepresentation
bin10010100011001110…
…100100100111010100
31220102010221022022200
4102203032210213110
5311243101003010
613052251524500
71303411253151
oct224316444724
956363838280
1019918375380
1184a1449262
123a3a759730
131b557c8c47
14d6d519228
157b89e5cc0
hex4a33a49d4

19918375380 has 72 divisors (see below), whose sum is σ = 63973144872. Its totient is φ = 4999120896.

The previous prime is 19918375357. The next prime is 19918375391. The reversal of 19918375380 is 8357381991.

19918375380 is a `hidden beast` number, since 1 + 99 + 18 + 3 + 7 + 538 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7220240784 + 12698134596 = 84972^2 + 112686^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3251577 + ... + 3257696.

It is an arithmetic number, because the mean of its divisors is an integer number (888515901).

Almost surely, 219918375380 is an apocalyptic number.

19918375380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19918375380 is an abundant number, since it is smaller than the sum of its proper divisors (44054769492).

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

19918375380 is a wasteful number, since it uses less digits than its factorization.

19918375380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6509305 (or 6509300 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 19918375380 in words is "nineteen billion, nine hundred eighteen million, three hundred seventy-five thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 6509273 13018546 19527819 26037092 32546365 39055638 58583457 65092730 78111276 97639095 110657641 117166914 130185460 195278190 221315282 234333828 292917285 331972923 390556380 442630564 553288205 585834570 663945846 995918769 1106576410 1171669140 1327891692 1659864615 1991837538 2213152820 3319729230 3983675076 4979593845 6639458460 9959187690 19918375380