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132347434560 = 263511291313299
BaseRepresentation
bin111101101000010000…
…1011001011001000000
3110122121112001021110120
41323100201121121000
54132021420401220
6140444412500240
712363456426615
oct1732041313100
9418545037416
10132347434560
11511457494a0
1221796a7a680
13c632317473
14659716450c
153698ea4a40
hex1ed0859640

132347434560 has 448 divisors, whose sum is σ = 477975168000. Its totient is φ = 30732083200.

The previous prime is 132347434559. The next prime is 132347434577. The reversal of 132347434560 is 65434743231.

It is a happy number.

It is a super-2 number, since 2×1323474345602 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40115791 + ... + 40119089.

Almost surely, 2132347434560 is an apocalyptic number.

132347434560 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 132347434560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238987584000).

132347434560 is an abundant number, since it is smaller than the sum of its proper divisors (345627733440).

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

132347434560 is a wasteful number, since it uses less digits than its factorization.

132347434560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3490 (or 3480 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 42.

The spelling of 132347434560 in words is "one hundred thirty-two billion, three hundred forty-seven million, four hundred thirty-four thousand, five hundred sixty".