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19857813888 = 2731124119507
BaseRepresentation
bin10010011111100111…
…100011000110000000
31220020220222110120110
4102133213203012000
5311132100021023
613042245511320
71302044430063
oct223747430600
956226873513
1019857813888
118470244540
123a22412540
131b460b3543
14d654728da
157b3531a93
hex49f9e3180

19857813888 has 128 divisors (see below), whose sum is σ = 57784256640. Its totient is φ = 5992243200.

The previous prime is 19857813869. The next prime is 19857813889. The reversal of 19857813888 is 88831875891.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19857813889) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1008231 + ... + 1027737.

It is an arithmetic number, because the mean of its divisors is an integer number (451439505).

Almost surely, 219857813888 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 19857813888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28892128320).

19857813888 is an abundant number, since it is smaller than the sum of its proper divisors (37926442752).

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

19857813888 is a wasteful number, since it uses less digits than its factorization.

19857813888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19776 (or 19764 counting only the distinct ones).

The product of its digits is 30965760, while the sum is 66.

The spelling of 19857813888 in words is "nineteen billion, eight hundred fifty-seven million, eight hundred thirteen thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 241 264 352 384 482 528 704 723 964 1056 1408 1446 1928 2112 2651 2892 3856 4224 5302 5784 7712 7953 10604 11568 15424 15906 19507 21208 23136 30848 31812 39014 42416 46272 58521 63624 78028 84832 92544 117042 127248 156056 169664 214577 234084 254496 312112 339328 429154 468168 508992 624224 643731 858308 936336 1017984 1248448 1287462 1716616 1872672 2496896 2574924 3433232 3745344 4701187 5149848 6866464 7490688 9402374 10299696 13732928 14103561 18804748 20599392 27465856 28207122 37609496 41198784 51713057 56414244 75218992 82397568 103426114 112828488 150437984 155139171 206852228 225656976 300875968 310278342 413704456 451313952 601751936 620556684 827408912 902627904 1241113368 1654817824 1805255808 2482226736 3309635648 4964453472 6619271296 9928906944 19857813888