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132299516892 = 2231916722915173
BaseRepresentation
bin111101100110110101…
…0100110101111011100
3110122111011212210210010
41323031222212233130
54131422134020032
6140435541443220
712362335224144
oct1731552465734
9418434783703
10132299516892
11511206a0214
1221782a10510
13c62540ab0a
146590a4d924
153694b8bccc
hex1ecdaa6bdc

132299516892 has 96 divisors (see below), whose sum is σ = 328341081600. Its totient is φ = 41344549632.

The previous prime is 132299516851. The next prime is 132299516917. The reversal of 132299516892 is 298615992231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8711818 + ... + 8726990.

It is an arithmetic number, because the mean of its divisors is an integer number (3420219600).

Almost surely, 2132299516892 is an apocalyptic number.

132299516892 is a gapful number since it is divisible by the number (12) 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 132299516892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164170540800).

132299516892 is an abundant number, since it is smaller than the sum of its proper divisors (196041564708).

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

132299516892 is a wasteful number, since it uses less digits than its factorization.

132299516892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15595 (or 15593 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 57.

The spelling of 132299516892 in words is "one hundred thirty-two billion, two hundred ninety-nine million, five hundred sixteen thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 167 228 229 334 458 501 668 687 916 1002 1374 2004 2748 3173 4351 6346 8702 9519 12692 13053 15173 17404 19038 26106 30346 38076 38243 45519 52212 60692 76486 91038 114729 152972 182076 229458 288287 458916 576574 726617 864861 1153148 1453234 1729722 2179851 2533891 2906468 3459444 3474617 4359702 5067782 6949234 7601673 8719404 10135564 10423851 13898468 15203346 20847702 30406692 41695404 48143929 66017723 96287858 132035446 144431787 192575716 198053169 264070892 288863574 396106338 577727148 580261039 792212676 1160522078 1740783117 2321044156 3481566234 6963132468 11024959741 22049919482 33074879223 44099838964 66149758446 132299516892