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18487840900 = 2252135972
BaseRepresentation
bin10001001101111101…
…100001000010000100
31202201110010121221011
4101031331201002010
5300330341402100
612254310332004
71223101024534
oct211575410204
952643117834
1018487840900
1179279a4561
1236bb65a004
131988319139
14c755394c4
1573311dbba
hex44df61084

18487840900 has 27 divisors (see below), whose sum is σ = 40121565519. Its totient is φ = 7394592480.

The previous prime is 18487840897. The next prime is 18487840907. The reversal of 18487840900 is 904878481.

The square root of 18487840900 is 135970.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 6292614276 + 12195226624 = 79326^2 + 110432^2 .

It is a super-2 number, since 2×184878409002 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (18487840907) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1352902 + ... + 1366498.

Almost surely, 218487840900 is an apocalyptic number.

18487840900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18487840900 is the 135970-th square number.

It is an amenable number.

18487840900 is an abundant number, since it is smaller than the sum of its proper divisors (21633724619).

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

18487840900 is an frugal number, since it uses more digits than its factorization.

18487840900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27208 (or 13604 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 49.

Multiplying 18487840900 by its sum of digits (49), we get a square (905904204100 = 9517902).

The spelling of 18487840900 in words is "eighteen billion, four hundred eighty-seven million, eight hundred forty thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 13597 27194 54388 67985 135970 271940 339925 679850 1359700 184878409 369756818 739513636 924392045 1848784090 3697568180 4621960225 9243920450 18487840900