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132254012220642 = 23213586996300577
BaseRepresentation
bin11110000100100011001001…
…011010110010010011100010
3122100021100201111122220212200
4132010203021122302103202
5114313322204112030032
61145140353210234030
736600015466361544
oct3604431132622342
9570240644586780
10132254012220642
113915a680052a94
12129bb869125916
1358a46661b83a0
1424931b2275694
15104536c72b47c
hex7848c96b24e2

132254012220642 has 48 divisors (see below), whose sum is σ = 308645278501560. Its totient is φ = 40686608157696.

The previous prime is 132254012220623. The next prime is 132254012220709. The reversal of 132254012220642 is 246022210452231.

132254012220642 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 5 + 4 + 0 + 1 + 2 + 2 + 2 + 0 + 642 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 61305752380401 + 70948259840241 = 7829799^2 + 8423079^2 .

It is a super-2 number, since 2×1322540122206422 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132254012220597 and 132254012220606.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46776943 + ... + 49523634.

Almost surely, 2132254012220642 is an apocalyptic number.

132254012220642 is an abundant number, since it is smaller than the sum of its proper divisors (176391266280918).

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

132254012220642 is a wasteful number, since it uses less digits than its factorization.

132254012220642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96306467 (or 96306464 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 132254012220642 its reverse (246022210452231), we get a palindrome (378276222672873).

The spelling of 132254012220642 in words is "one hundred thirty-two trillion, two hundred fifty-four billion, twelve million, two hundred twenty thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 5869 11738 17607 35214 52821 76297 105642 152594 228891 457782 686673 1373346 96300577 192601154 288901731 577803462 866705193 1251907501 1733410386 2503815002 3755722503 7511445006 11267167509 22534335018 565188086413 1130376172826 1695564259239 3391128518478 5086692777717 7347445123369 10173385555434 14694890246738 22042335370107 44084670740214 66127006110321 132254012220642