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132918053840 = 245111321794993
BaseRepresentation
bin111101111001010001…
…0001000101111010000
3110201002021202201221222
41323302202020233100
54134204010210330
6141021155104212
712413555546645
oct1736242105720
9421067681858
10132918053840
115140885a180
1221915ba2068
13c6c35c6c00
14660cc5ddcc
1536ce11c0e5
hex1ef2888bd0

132918053840 has 240 divisors, whose sum is σ = 367169267520. Its totient is φ = 44357713920.

The previous prime is 132918053803. The next prime is 132918053887. The reversal of 132918053840 is 48350819231.

It is a super-2 number, since 2×1329180538402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 132918053791 and 132918053800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26618384 + ... + 26623376.

It is an arithmetic number, because the mean of its divisors is an integer number (1529871948).

Almost surely, 2132918053840 is an apocalyptic number.

132918053840 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 132918053840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183584633760).

132918053840 is an abundant number, since it is smaller than the sum of its proper divisors (234251213680).

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

132918053840 is a wasteful number, since it uses less digits than its factorization.

132918053840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5222 (or 5203 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 44.

The spelling of 132918053840 in words is "one hundred thirty-two billion, nine hundred eighteen million, fifty-three thousand, eight hundred forty".