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77232740137443 = 321116729753157007
BaseRepresentation
bin10001100011111000100110…
…000010100111100111100011
3101010110101012110012201222100
4101203320212002213213203
540110340122433344233
6432132121521541443
722160611204312062
oct2143704602474743
9333411173181870
1077232740137443
11226772483994a0
1287b42804a4883
133413029614297
1415101280a81d9
158de002b05813
hex463e260a79e3

77232740137443 has 48 divisors (see below), whose sum is σ = 122433712966656. Its totient is φ = 46525575419520.

The previous prime is 77232740137411. The next prime is 77232740137453. The reversal of 77232740137443 is 34473104723277.

It is a happy number.

77232740137443 is a `hidden beast` number, since 7 + 7 + 2 + 3 + 27 + 40 + 137 + 443 = 666.

It is not a de Polignac number, because 77232740137443 - 25 = 77232740137411 is a prime.

It is a super-2 number, since 2×772327401374432 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 77232740137443.

It is not an unprimeable number, because it can be changed into a prime (77232740137453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 491827846 + ... + 491984852.

It is an arithmetic number, because the mean of its divisors is an integer number (2550702353472).

Almost surely, 277232740137443 is an apocalyptic number.

77232740137443 is a deficient number, since it is larger than the sum of its proper divisors (45200972829213).

77232740137443 is a wasteful number, since it uses less digits than its factorization.

77232740137443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186944 (or 186941 counting only the distinct ones).

The product of its (nonzero) digits is 16595712, while the sum is 54.

The spelling of 77232740137443 in words is "seventy-seven trillion, two hundred thirty-two billion, seven hundred forty million, one hundred thirty-seven thousand, four hundred forty-three".

Divisors: 1 3 9 11 33 99 167 501 1503 1837 5511 16533 29753 89259 157007 267777 327283 471021 981849 1413063 1727077 2945547 4968751 5181231 14906253 15543693 26220169 44718759 54656261 78660507 163968783 235981521 288421859 491906349 865265577 2595796731 4671429271 14014287813 42042863439 51385721981 154157165943 462471497829 780128688257 2340386064771 7021158194313 8581415570827 25744246712481 77232740137443