Search a number
-
+
11365625000 = 23583637
BaseRepresentation
bin10101001010111000…
…11010110010101000
31002100002102120110002
422211130122302220
5141234100000000
65115444442132
7551436134642
oct124534326250
932302376402
1011365625000
114902665314
1222523a9348
1310c18c17c2
1479b687892
15467c128d5
hex2a571aca8

11365625000 has 72 divisors (see below), whose sum is σ = 26645494170. Its totient is φ = 4545000000.

The previous prime is 11365624973. The next prime is 11365625021. The reversal of 11365625000 is 52656311.

It can be written as a sum of positive squares in 9 ways, for example, as 8891358436 + 2474266564 = 94294^2 + 49742^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3123182 + ... + 3126818.

Almost surely, 211365625000 is an apocalyptic number.

11365625000 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 11365625000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13322747085).

11365625000 is an abundant number, since it is smaller than the sum of its proper divisors (15279869170).

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

11365625000 is an frugal number, since it uses more digits than its factorization.

11365625000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3683 (or 3644 counting only the distinct ones).

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

The spelling of 11365625000 in words is "eleven billion, three hundred sixty-five million, six hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 3125 3637 5000 6250 7274 12500 14548 15625 18185 25000 29096 31250 36370 62500 72740 78125 90925 125000 145480 156250 181850 312500 363700 390625 454625 625000 727400 781250 909250 1562500 1818500 2273125 3125000 3637000 4546250 9092500 11365625 18185000 22731250 45462500 56828125 90925000 113656250 227312500 284140625 454625000 568281250 1136562500 1420703125 2273125000 2841406250 5682812500 11365625000