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19818086436 = 223223143916633
BaseRepresentation
bin10010011101010000…
…000000000000100100
31220011011020002202100
4102131100000000210
5311041412231221
613034310212100
71301052645441
oct223520000044
956134202670
1019818086436
11844a87a735
123a11054030
131b3aab3a85
14d600909c8
157aecd5926
hex49d400024

19818086436 has 72 divisors (see below), whose sum is σ = 52313264640. Its totient is φ = 6314039424.

The previous prime is 19818086429. The next prime is 19818086507. The reversal of 19818086436 is 63468081891.

19818086436 is a `hidden beast` number, since 198 + 18 + 0 + 8 + 6 + 436 = 666.

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, 1183176 + ... + 1199808.

It is an arithmetic number, because the mean of its divisors is an integer number (726573120).

Almost surely, 219818086436 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 19818086436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26156632320).

19818086436 is an abundant number, since it is smaller than the sum of its proper divisors (32495178204).

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

19818086436 is a wasteful number, since it uses less digits than its factorization.

19818086436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18105 (or 18100 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 19818086436 in words is "nineteen billion, eight hundred eighteen million, eighty-six thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 1439 2878 4317 5756 8634 12951 16633 17268 25902 33097 33266 49899 51804 66194 66532 99291 99798 132388 149697 198582 199596 297873 299394 382559 397164 595746 598788 765118 1147677 1191492 1530236 2295354 3443031 4590708 6886062 13772124 23934887 47869774 71804661 95739548 143609322 215413983 287218644 430827966 550502401 861655932 1101004802 1651507203 2202009604 3303014406 4954521609 6606028812 9909043218 19818086436