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26245500100 = 22522361187067
BaseRepresentation
bin11000011100010110…
…101000110011000100
32111202002112112202021
4120130112220303010
5412222322000400
620020152052524
71616250033001
oct303426506304
974662475667
1026245500100
111014899a756
125105694144
13262359bb21
1413ad95c8a8
15a391e971a
hex61c5a8cc4

26245500100 has 72 divisors (see below), whose sum is σ = 60403508928. Its totient is φ = 9877084800.

The previous prime is 26245500079. The next prime is 26245500121. The reversal of 26245500100 is 100554262.

It is an interprime number because it is at equal distance from previous prime (26245500079) and next prime (26245500121).

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 46767 + ... + 233833.

It is an arithmetic number, because the mean of its divisors is an integer number (838937624).

Almost surely, 226245500100 is an apocalyptic number.

26245500100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26245500100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30201754464).

26245500100 is an abundant number, since it is smaller than the sum of its proper divisors (34158008828).

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

26245500100 is a wasteful number, since it uses less digits than its factorization.

26245500100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187165 (or 187158 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The spelling of 26245500100 in words is "twenty-six billion, two hundred forty-five million, five hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 61 92 100 115 122 230 244 305 460 575 610 1150 1220 1403 1525 2300 2806 3050 5612 6100 7015 14030 28060 35075 70150 140300 187067 374134 748268 935335 1870670 3741340 4302541 4676675 8605082 9353350 11411087 17210164 18706700 21512705 22822174 43025410 45644348 57055435 86050820 107563525 114110870 215127050 228221740 262455001 285277175 430254100 524910002 570554350 1049820004 1141108700 1312275005 2624550010 5249100020 6561375025 13122750050 26245500100