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18520706900 = 22525310913203
BaseRepresentation
bin10001001111111010…
…111000111101010100
31202210201222101121102
4101033322320331110
5300412300110100
612301443005232
71223650261013
oct211772707524
952721871542
1018520706900
117944502243
12370a669818
131992085787
14c79a52a7a
15735e61cd5
hex44feb8f54

18520706900 has 72 divisors (see below), whose sum is σ = 40998563424. Its totient is φ = 7259574400.

The previous prime is 18520706891. The next prime is 18520706903. The reversal of 18520706900 is 960702581.

It is a super-2 number, since 2×185207069002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18520706903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5780699 + ... + 5783901.

It is an arithmetic number, because the mean of its divisors is an integer number (569424492).

Almost surely, 218520706900 is an apocalyptic number.

18520706900 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 18520706900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20499281712).

18520706900 is an abundant number, since it is smaller than the sum of its proper divisors (22477856524).

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

18520706900 is a wasteful number, since it uses less digits than its factorization.

18520706900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4361 (or 4354 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 38.

The spelling of 18520706900 in words is "eighteen billion, five hundred twenty million, seven hundred six thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 212 265 530 1060 1091 1325 2182 2650 3203 4364 5300 5455 6406 10910 12812 16015 21820 27275 32030 54550 57823 64060 80075 109100 115646 160150 169759 231292 289115 320300 339518 578230 679036 848795 1156460 1445575 1697590 2891150 3395180 3494473 4243975 5782300 6988946 8487950 13977892 16975900 17472365 34944730 69889460 87361825 174723650 185207069 349447300 370414138 740828276 926035345 1852070690 3704141380 4630176725 9260353450 18520706900