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180391940352 = 283513223063
BaseRepresentation
bin1010100000000000110…
…0101001000100000000
3122020121211021001100000
42220000030221010000
510423420314042402
6214512041200000
716014165123231
oct2500014510400
9566554231300
10180391940352
116a55a602828
122ab64a90000
131401abc3510
148a33ca3088
154a5bd28c1c
hex2a00329100

180391940352 has 216 divisors, whose sum is σ = 580871147584. Its totient is φ = 55504963584.

The previous prime is 180391940347. The next prime is 180391940429. The reversal of 180391940352 is 253049193081.

It is a happy number.

180391940352 is a `hidden beast` number, since 1 + 80 + 39 + 194 + 0 + 352 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a junction number, because it is equal to n+sod(n) for n = 180391940298 and 180391940307.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 697173 + ... + 920235.

Almost surely, 2180391940352 is an apocalyptic number.

180391940352 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 180391940352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290435573792).

180391940352 is an abundant number, since it is smaller than the sum of its proper divisors (400479207232).

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

180391940352 is an equidigital number, since it uses as much as digits as its factorization.

180391940352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223107 (or 223081 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 180391940352 in words is "one hundred eighty billion, three hundred ninety-one million, nine hundred forty thousand, three hundred fifty-two".