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132656162120456 = 23133772193381431
BaseRepresentation
bin11110001010011001101011…
…011010111010001100001000
3122101200210202000122111222112
4132022121223122322030020
5114341414310000323311
61150045222150241452
736641043235206212
oct3612315332721410
9571623660574875
10132656162120456
11392a51871a5997
1212a657a0356288
1359035650661a0
1424a8841b935b2
151050a57c4728b
hex78a66b6ba308

132656162120456 has 32 divisors (see below), whose sum is σ = 267864193598400. Its totient is φ = 61225740563520.

The previous prime is 132656162120441. The next prime is 132656162120473. The reversal of 132656162120456 is 654021261656231.

It is a super-3 number, since 3×1326561621204563 (a number of 43 digits) contains 333 as substring.

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 7 ways as a sum of consecutive naturals, for example, 37540061 + ... + 40921491.

It is an arithmetic number, because the mean of its divisors is an integer number (8370756049950).

Almost surely, 2132656162120456 is an apocalyptic number.

It is an amenable number.

132656162120456 is an abundant number, since it is smaller than the sum of its proper divisors (135208031477944).

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

132656162120456 is a wasteful number, since it uses less digits than its factorization.

132656162120456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3758669 (or 3758665 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 50.

The spelling of 132656162120456 in words is "one hundred thirty-two trillion, six hundred fifty-six billion, one hundred sixty-two million, one hundred twenty thousand, four hundred fifty-six".

Divisors: 1 2 4 8 13 26 52 104 377219 754438 1508876 3017752 3381431 4903847 6762862 9807694 13525724 19615388 27051448 39230776 43958603 87917206 175834412 351668824 1275540020389 2551080040778 5102160081556 10204320163112 16582020265057 33164040530114 66328081060228 132656162120456