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132252617350404 = 22338231487923781
BaseRepresentation
bin11110000100100001110110…
…010001110001110100000100
3122100021020010021222011122000
4132010201312101301310010
5114313311330020203104
61145140002541305300
736566636101232505
oct3604416621616404
9570236107864560
10132252617350404
113915a024748371
12129bb539b65230
1358a44a3214795
1424930bccdabac
1510452da04b639
hex784876471d04

132252617350404 has 48 divisors (see below), whose sum is σ = 343293774983040. Its totient is φ = 44030640497760.

The previous prime is 132252617350153. The next prime is 132252617350507. The reversal of 132252617350404 is 404053716252231.

132252617350404 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 5 + 26 + 173 + 50 + 404 = 666.

It is a super-2 number, since 2×1322526173504042 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 132252617350404.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 743873007 + ... + 744050774.

It is an arithmetic number, because the mean of its divisors is an integer number (7151953645480).

Almost surely, 2132252617350404 is an apocalyptic number.

It is an amenable number.

132252617350404 is an abundant number, since it is smaller than the sum of its proper divisors (211041157632636).

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

132252617350404 is a wasteful number, since it uses less digits than its factorization.

132252617350404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1487924617 (or 1487924609 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 132252617350404 in words is "one hundred thirty-two trillion, two hundred fifty-two billion, six hundred seventeen million, three hundred fifty thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 823 1646 2469 3292 4938 7407 9876 14814 22221 29628 44442 88884 1487923781 2975847562 4463771343 5951695124 8927542686 13391314029 17855085372 26782628058 40173942087 53565256116 80347884174 160695768348 1224561271763 2449122543526 3673683815289 4898245087052 7347367630578 11021051445867 14694735261156 22042102891734 33063154337601 44084205783468 66126308675202 132252617350404