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113656250000 = 24593637
BaseRepresentation
bin110100111011001110…
…0001011111010010000
3101212100220021201110202
41221312130023322100
53330232000000000
6124113555514332
711132336120306
oct1516634137220
9355326251422
10113656250000
1144223a98927
121a03b2b89a8
13a943b43147
145702a16276
152e530badd5
hex1a7670be90

113656250000 has 100 divisors (see below), whose sum is σ = 275336885868. Its totient is φ = 45450000000.

The previous prime is 113656249997. The next prime is 113656250009. The reversal of 113656250000 is 52656311.

113656250000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 3017524624 + 110638725376 = 54932^2 + 332624^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is not an unprimeable number, because it can be changed into a prime (113656250009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 31248182 + ... + 31251818.

Almost surely, 2113656250000 is an apocalyptic number.

113656250000 is a gapful number since it is divisible by the number (10) 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 113656250000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137668442934).

113656250000 is an abundant number, since it is smaller than the sum of its proper divisors (161680635868).

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

113656250000 is an frugal number, since it uses more digits than its factorization.

113656250000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3690 (or 3644 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 29.

The spelling of 113656250000 in words is "one hundred thirteen billion, six hundred fifty-six million, two hundred fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 3125 3637 5000 6250 7274 10000 12500 14548 15625 18185 25000 29096 31250 36370 50000 58192 62500 72740 78125 90925 125000 145480 156250 181850 250000 290960 312500 363700 390625 454625 625000 727400 781250 909250 1250000 1454800 1562500 1818500 1953125 2273125 3125000 3637000 3906250 4546250 6250000 7274000 7812500 9092500 11365625 15625000 18185000 22731250 31250000 36370000 45462500 56828125 90925000 113656250 181850000 227312500 284140625 454625000 568281250 909250000 1136562500 1420703125 2273125000 2841406250 4546250000 5682812500 7103515625 11365625000 14207031250 22731250000 28414062500 56828125000 113656250000