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132113161466451 = 34111711377186441
BaseRepresentation
bin11110000010011111111110…
…000011110011001001010011
3122022202220011101010020210000
4132002133332003303021103
5114304020223313411301
61144551540513541043
736553601204620404
oct3602377603631123
9568686141106700
10132113161466451
1139105971512710
12129984ba574783
1358942aa2b2a59
14248a44da699ab
151041876ea9786
hex7827fe0f3253

132113161466451 has 80 divisors (see below), whose sum is σ = 229977312684768. Its totient is φ = 74691774259200.

The previous prime is 132113161466413. The next prime is 132113161466459. The reversal of 132113161466451 is 154664161311231.

It is a happy number.

132113161466451 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 131 + 6 + 1 + 4 + 66 + 451 = 666.

It is not a de Polignac number, because 132113161466451 - 27 = 132113161466323 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 132113161466397 and 132113161466406.

It is not an unprimeable number, because it can be changed into a prime (132113161466459) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 36881610 + ... + 40304831.

Almost surely, 2132113161466451 is an apocalyptic number.

132113161466451 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

132113161466451 is a deficient number, since it is larger than the sum of its proper divisors (97864151218317).

132113161466451 is a wasteful number, since it uses less digits than its factorization.

132113161466451 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77186594 (or 77186585 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The spelling of 132113161466451 in words is "one hundred thirty-two trillion, one hundred thirteen billion, one hundred sixty-one million, four hundred sixty-six thousand, four hundred fifty-one".

Divisors: 1 3 9 11 17 27 33 51 81 99 113 153 187 297 339 459 561 891 1017 1243 1377 1683 1921 3051 3729 5049 5763 9153 11187 15147 17289 21131 33561 51867 63393 100683 155601 190179 570537 1711611 77186441 231559323 694677969 849050851 1312169497 2084033907 2547152553 3936508491 6252101721 7641457659 8722067833 11809525473 14433864467 22924372977 26166203499 35428576419 43301593401 68773118931 78498610497 95942746163 106285729257 129904780203 148275153161 235495831491 287828238489 389714340609 444825459483 706487494473 863484715467 1169143021827 1334476378449 1631026684771 2590454146401 4003429135347 4893080054313 7771362439203 12010287406041 14679240162939 44037720488817 132113161466451