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105396899425560 = 233251132590877567
BaseRepresentation
bin10111111101101110100000…
…110000000010110100011000
3111211011211211010201112011100
4113331232200300002310120
5102303310322223104220
61012054400035231400
731125450264305661
oct2775564060026430
9454154733645140
10105396899425560
1130645635041616
12b9a2760448560
1346a6b6737bbc2
141c05346a54368
15c2b9365cad90
hex5fdba0c02d18

105396899425560 has 96 divisors (see below), whose sum is σ = 345571250019840. Its totient is φ = 27857115589632.

The previous prime is 105396899425457. The next prime is 105396899425583. The reversal of 105396899425560 is 65524998693501.

105396899425560 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 9 + 68 + 9 + 9 + 4 + 2 + 556 + 0 = 666.

It is a super-2 number, since 2×1053968994255602 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 1295398104 + ... + 1295479463.

It is an arithmetic number, because the mean of its divisors is an integer number (3599700521040).

Almost surely, 2105396899425560 is an apocalyptic number.

105396899425560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105396899425560 is an abundant number, since it is smaller than the sum of its proper divisors (240174350594280).

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

105396899425560 is a wasteful number, since it uses less digits than its factorization.

105396899425560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2590877697 (or 2590877690 counting only the distinct ones).

The product of its (nonzero) digits is 629856000, while the sum is 72.

The spelling of 105396899425560 in words is "one hundred five trillion, three hundred ninety-six billion, eight hundred ninety-nine million, four hundred twenty-five thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 113 120 180 226 339 360 452 565 678 904 1017 1130 1356 1695 2034 2260 2712 3390 4068 4520 5085 6780 8136 10170 13560 20340 40680 2590877567 5181755134 7772632701 10363510268 12954387835 15545265402 20727020536 23317898103 25908775670 31090530804 38863163505 46635796206 51817551340 62181061608 77726327010 93271592412 103635102680 116589490515 155452654020 186543184824 233178981030 292769165071 310905308040 466357962060 585538330142 878307495213 932715924120 1171076660284 1463845825355 1756614990426 2342153320568 2634922485639 2927691650710 3513229980852 4391537476065 5269844971278 5855383301420 7026459961704 8783074952130 10539689942556 11710766602840 13174612428195 17566149904260 21079379885112 26349224856390 35132299808520 52698449712780 105396899425560