Search a number
-
+
54940427176761 = 3274504232
BaseRepresentation
bin11000111110111110100001…
…01001010100101100111001
321012112020211211111102011100
430133133100221110230321
524200120443324124021
6312503141145322013
714400213000510000
oct1437372051245471
9235466754442140
1054940427176761
1116562116935835
1261b39a5a96309
132486b246c5579
14d7d1b9137c37
156541d73ae626
hex31f7d0a54b39

54940427176761 has 45 divisors (see below), whose sum is σ = 92581121330789. Its totient is φ = 31393907192088.

The previous prime is 54940427176751. The next prime is 54940427176787. The reversal of 54940427176761 is 16767172404945.

It is a happy number.

The square root of 54940427176761 is 7412181.

It is a perfect power (a square), and thus also a powerful number.

54940427176761 is a `hidden beast` number, since 5 + 4 + 94 + 0 + 427 + 1 + 7 + 67 + 61 = 666.

It is not a de Polignac number, because 54940427176761 - 231 = 54938279693113 is a prime.

It is a super-2 number, since 2×549404271767612 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (54940427176751) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1089565396 + ... + 1089615818.

Almost surely, 254940427176761 is an apocalyptic number.

54940427176761 is the 7412181-st square number.

54940427176761 is the 3706091-st centered octagonal number.

It is an amenable number.

54940427176761 is a deficient number, since it is larger than the sum of its proper divisors (37640694154028).

54940427176761 is an frugal number, since it uses more digits than its factorization.

54940427176761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100880 (or 50433 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 54940427176761 in words is "fifty-four trillion, nine hundred forty billion, four hundred twenty-seven million, one hundred seventy-six thousand, seven hundred sixty-one".

Divisors: 1 3 7 9 21 49 63 147 343 441 1029 2401 3087 7203 21609 50423 151269 352961 453807 1058883 2470727 3176649 7412181 17295089 22236543 51885267 121065623 155655801 363196869 1089590607 2542478929 7627436787 17797352503 22882310361 53392057509 124581467521 160176172527 373744402563 872070272647 1121233207689 2616210817941 6104491908529 7848632453823 18313475725587 54940427176761