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132464994399360 = 27335721742121859
BaseRepresentation
bin11110000111100111101000…
…111011111011010010000000
3122101000112022012212002102000
4132013213220323323102000
5114330301302031234420
61145421324530424000
736621165022325400
oct3607475073732200
9571015265762360
10132464994399360
11392310a7a8a647
1212a3472a732000
1358bb51a83235c
14249d4a8b08800
15104aab9dbe690
hex7879e8efb480

132464994399360 has 1536 divisors, whose sum is σ = 579243796704000. Its totient is φ = 28427682447360.

The previous prime is 132464994399337. The next prime is 132464994399383. The reversal of 132464994399360 is 63993499464231.

132464994399360 is a `hidden beast` number, since 1 + 3 + 2 + 4 + 6 + 49 + 9 + 439 + 93 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (132464994399337) and next prime (132464994399383).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6059964111 + ... + 6059985969.

Almost surely, 2132464994399360 is an apocalyptic number.

132464994399360 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 132464994399360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289621898352000).

132464994399360 is an abundant number, since it is smaller than the sum of its proper divisors (446778802304640).

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

132464994399360 is a wasteful number, since it uses less digits than its factorization.

132464994399360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22339 (or 22314 counting only the distinct ones).

The product of its (nonzero) digits is 816293376, while the sum is 72.

The spelling of 132464994399360 in words is "one hundred thirty-two trillion, four hundred sixty-four billion, nine hundred ninety-four million, three hundred ninety-nine thousand, three hundred sixty".