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11880248500 = 225323760497
BaseRepresentation
bin10110001000001111…
…00011010010110100
31010122221210011011201
423010013203102310
5143312320423000
65242510542244
7600255306001
oct130407432264
933587704151
1011880248500
1150470aa59a
122376807984
1311743c6a53
14809b688a8
15497eb896a
hex2c41e34b4

11880248500 has 24 divisors (see below), whose sum is σ = 25946463816. Its totient is φ = 4752099200.

The previous prime is 11880248491. The next prime is 11880248509. The reversal of 11880248500 is 584208811.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11880248491) and next prime (11880248509).

It can be written as a sum of positive squares in 4 ways, for example, as 238270096 + 11641978404 = 15436^2 + 107898^2 .

It is a super-2 number, since 2×118802485002 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11880248500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11880248509) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11879749 + ... + 11880748.

It is an arithmetic number, because the mean of its divisors is an integer number (1081102659).

Almost surely, 211880248500 is an apocalyptic number.

11880248500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11880248500 is an abundant number, since it is smaller than the sum of its proper divisors (14066215316).

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

11880248500 is a wasteful number, since it uses less digits than its factorization.

11880248500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23760516 (or 23760504 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 37.

The spelling of 11880248500 in words is "eleven billion, eight hundred eighty million, two hundred forty-eight thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 23760497 47520994 95041988 118802485 237604970 475209940 594012425 1188024850 2376049700 2970062125 5940124250 11880248500