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132315230635236 = 223211601555955691
BaseRepresentation
bin11110000101011100001010…
…010100100000010011100100
3122100111012201220220121020100
4132011130022110200103210
5114320323043020311421
61145224440001304100
736604313522331435
oct3605341224402344
9570435656817210
10132315230635236
1139183635273a60
1212a0b6b3035030
1358aa3711b664c
14249613c88d48c
151046c51e05c26
hex78570a5204e4

132315230635236 has 72 divisors (see below), whose sum is σ = 365476376629728. Its totient is φ = 40028809680000.

The previous prime is 132315230635229. The next prime is 132315230635243. The reversal of 132315230635236 is 632536032513231.

132315230635236 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 1 + 5 + 2 + 3 + 0 + 635 + 2 + 3 + 6 = 666.

132315230635236 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 (132315230635229) and next prime (132315230635243).

It is a junction number, because it is equal to n+sod(n) for n = 132315230635191 and 132315230635200.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 277739850 + ... + 278215841.

It is an arithmetic number, because the mean of its divisors is an integer number (5076060786524).

Almost surely, 2132315230635236 is an apocalyptic number.

It is an amenable number.

132315230635236 is an abundant number, since it is smaller than the sum of its proper divisors (233161145994492).

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

132315230635236 is a wasteful number, since it uses less digits than its factorization.

132315230635236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555956313 (or 555956308 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 45.

The spelling of 132315230635236 in words is "one hundred thirty-two trillion, three hundred fifteen billion, two hundred thirty million, six hundred thirty-five thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 601 1202 1803 2404 3606 5409 6611 7212 10818 13222 19833 21636 26444 39666 59499 79332 118998 237996 555955691 1111911382 1667867073 2223822764 3335734146 5003601219 6115512601 6671468292 10007202438 12231025202 18346537803 20014404876 24462050404 36693075606 55039613409 73386151212 110079226818 220158453636 334129370291 668258740582 1002388110873 1336517481164 2004776221746 3007164332619 3675423073201 4009552443492 6014328665238 7350846146402 11026269219603 12028657330476 14701692292804 22052538439206 33078807658809 44105076878412 66157615317618 132315230635236