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132656525055556 = 221737156901336041
BaseRepresentation
bin11110001010011010000001…
…000011011001011001000100
3122101200211200022120112100021
4132022122001003121121010
5114341421030403234211
61150045322153224524
736641055233126065
oct3612320103313104
9571624608515307
10132656525055556
11392a5353055457
1212a65881a02144
1359035c22cab98
1424a887806a56c
151050a79a38771
hex78a6810d9644

132656525055556 has 48 divisors (see below), whose sum is σ = 252450469100592. Its totient is φ = 60738826752000.

The previous prime is 132656525055553. The next prime is 132656525055583. The reversal of 132656525055556 is 655550525656231.

It is a happy number.

132656525055556 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 18543496238656 + 114113028816900 = 4306216^2 + 10682370^2 .

It is a Smith number, since the sum of its digits (61) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 132656525055494 and 132656525055503.

It is not an unprimeable number, because it can be changed into a prime (132656525055553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 394594896 + ... + 394930936.

It is an arithmetic number, because the mean of its divisors is an integer number (5259384772929).

Almost surely, 2132656525055556 is an apocalyptic number.

It is an amenable number.

132656525055556 is a deficient number, since it is larger than the sum of its proper divisors (119793944045036).

132656525055556 is a wasteful number, since it uses less digits than its factorization.

132656525055556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493000 (or 492998 counting only the distinct ones).

The product of its (nonzero) digits is 202500000, while the sum is 61.

The spelling of 132656525055556 in words is "one hundred thirty-two trillion, six hundred fifty-six billion, five hundred twenty-five million, fifty-five thousand, five hundred fifty-six".

Divisors: 1 2 4 17 34 37 68 74 148 629 1258 2516 156901 313802 336041 627604 672082 1344164 2667317 5334634 5712697 5805337 10669268 11425394 11610674 12433517 22850788 23221348 24867034 49734068 98690729 197381458 211369789 394762916 422739578 845479156 52725168941 105450337882 210900675764 896327871997 1792655743994 1950831250817 3585311487988 3901662501634 7803325003268 33164131263889 66328262527778 132656525055556