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132567433240 = 23511301289621
BaseRepresentation
bin111101101110110100…
…0101000000000011000
3110200011212000100220211
41323131220220000120
54132444230330430
6140522312100504
712402100406314
oct1733550500030
9420155010824
10132567433240
1151248950790
1221838694734
13c668a843b8
1465b8470b44
1536ad45e72a
hex1edda28018

132567433240 has 32 divisors (see below), whose sum is σ = 325392791760. Its totient is φ = 48206339200.

The previous prime is 132567433231. The next prime is 132567433241. The reversal of 132567433240 is 42334765231.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 132567433193 and 132567433202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132567433241) 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, 150644371 + ... + 150645250.

Almost surely, 2132567433240 is an apocalyptic number.

132567433240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132567433240 is an abundant number, since it is smaller than the sum of its proper divisors (192825358520).

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

132567433240 is a wasteful number, since it uses less digits than its factorization.

132567433240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301289643 (or 301289639 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 40.

The spelling of 132567433240 in words is "one hundred thirty-two billion, five hundred sixty-seven million, four hundred thirty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 301289621 602579242 1205158484 1506448105 2410316968 3012896210 3314185831 6025792420 6628371662 12051584840 13256743324 16570929155 26513486648 33141858310 66283716620 132567433240