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132656565614664 = 23371360740185721
BaseRepresentation
bin11110001010011010000011…
…011110000111100001001000
3122101200211210010220010222110
4132022122003132013201020
5114341421121244132124
61150045330202422320
736641056234643160
oct3612320336074110
9571624703803873
10132656565614664
11392a5373a38083
1212a658935019a0
1359035ca82c060
1424a887d5c75a0
151050a7d39b029
hex78a683787848

132656565614664 has 64 divisors (see below), whose sum is σ = 408174048051840. Its totient is φ = 34986346974720.

The previous prime is 132656565614659. The next prime is 132656565614669. The reversal of 132656565614664 is 466416565656231.

It is a happy number.

132656565614664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (132656565614659) and next prime (132656565614669).

It is a super-2 number, since 2×1326565656146642 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132656565614595 and 132656565614604.

It is not an unprimeable number, because it can be changed into a prime (132656565614669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30370090677 + ... + 30370095044.

It is an arithmetic number, because the mean of its divisors is an integer number (6377719500810).

Almost surely, 2132656565614664 is an apocalyptic number.

132656565614664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

132656565614664 is an abundant number, since it is smaller than the sum of its proper divisors (275517482437176).

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

132656565614664 is a wasteful number, since it uses less digits than its factorization.

132656565614664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60740185750 (or 60740185746 counting only the distinct ones).

The product of its digits is 559872000, while the sum is 66.

The spelling of 132656565614664 in words is "one hundred thirty-two trillion, six hundred fifty-six billion, five hundred sixty-five million, six hundred fourteen thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 728 1092 2184 60740185721 121480371442 182220557163 242960742884 364441114326 425181300047 485921485768 728882228652 789622414373 850362600094 1275543900141 1457764457304 1579244828746 1700725200188 2368867243119 2551087800282 3158489657492 3401450400376 4737734486238 5102175600564 5527356900611 6316979314984 9475468972476 10204351201128 11054713801222 16582070701833 18950937944952 22109427602444 33164141403666 44218855204888 66328282807332 132656565614664