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107799253104 = 243231814091319
BaseRepresentation
bin110010001100101010…
…1100001000001110000
3101022020201022110011210
41210121111201001300
53231233102044404
6121304452040120
710534236350514
oct1443125410160
9338221273153
10107799253104
1141798960424
1218a85903040
13a21c5965ca
145308bd0144
152c0dcce689
hex1919561070

107799253104 has 160 divisors (see below), whose sum is σ = 293131238400. Its totient is φ = 34071459840.

The previous prime is 107799253097. The next prime is 107799253123. The reversal of 107799253104 is 401352997701.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81727357 + ... + 81728675.

It is an arithmetic number, because the mean of its divisors is an integer number (1832070240).

Almost surely, 2107799253104 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 107799253104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146565619200).

107799253104 is an abundant number, since it is smaller than the sum of its proper divisors (185331985296).

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

107799253104 is a wasteful number, since it uses less digits than its factorization.

107799253104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1943 (or 1937 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 48.

The spelling of 107799253104 in words is "one hundred seven billion, seven hundred ninety-nine million, two hundred fifty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 181 184 276 362 368 409 543 552 724 818 1086 1104 1227 1319 1448 1636 2172 2454 2638 2896 3272 3957 4163 4344 4908 5276 6544 7914 8326 8688 9407 9816 10552 12489 15828 16652 18814 19632 21104 24978 28221 30337 31656 33304 37628 49956 56442 60674 63312 66608 74029 75256 91011 99912 112884 121348 148058 150512 182022 199824 222087 225768 238739 242696 296116 364044 444174 451536 477478 485392 539471 592232 716217 728088 888348 954956 1078942 1184464 1432434 1456176 1618413 1702667 1776696 1909912 2157884 2864868 3236826 3405334 3553392 3819824 4315768 5108001 5490997 5729736 6473652 6810668 8631536 10216002 10981994 11459472 12407833 12947304 13621336 16472991 20432004 21963988 24815666 25894608 27242672 32945982 37223499 40864008 43927976 49631332 65891964 74446998 81728016 87855952 97644251 99262664 131783928 148893996 195288502 198525328 263567856 292932753 297787992 390577004 585865506 595575984 781154008 1171731012 1562308016 2245817773 2343462024 4491635546 4686924048 6737453319 8983271092 13474906638 17966542184 26949813276 35933084368 53899626552 107799253104