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19820006802 = 23812292
BaseRepresentation
bin10010011101010111…
…010100110110010010
31220011021211200000000
4102131113110312102
5311042410204202
613034415310430
71301105164251
oct223527246622
956137750000
1019820006802
118450971512
123a1181b416
131b3b306b9b
14d60430798
157b006491c
hex49d5d4d92

19820006802 has 54 divisors (see below), whose sum is σ = 44629062933. Its totient is φ = 6601293288.

The previous prime is 19820006797. The next prime is 19820006827. The reversal of 19820006802 is 20860002891.

It can be written as a sum of positive squares in 2 ways, for example, as 12153078081 + 7666928721 = 110241^2 + 87561^2 .

It is a tau number, because it is divible by the number of its divisors (54).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=99549.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 16126324 + ... + 16127552.

Almost surely, 219820006802 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19820006802

19820006802 is an abundant number, since it is smaller than the sum of its proper divisors (24809056131).

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

19820006802 is an frugal number, since it uses more digits than its factorization.

19820006802 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2484 (or 1234 counting only the distinct ones).

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

The spelling of 19820006802 in words is "nineteen billion, eight hundred twenty million, six thousand, eight hundred two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 729 1229 1458 2187 2458 3687 4374 6561 7374 11061 13122 22122 33183 66366 99549 199098 298647 597294 895941 1510441 1791882 2687823 3020882 4531323 5375646 8063469 9062646 13593969 16126938 27187938 40781907 81563814 122345721 244691442 367037163 734074326 1101111489 2202222978 3303334467 6606668934 9910003401 19820006802