Search a number
-
+
77820873564997 = 2919331388245421
BaseRepresentation
bin10001101100011100010101…
…100001100110001101000101
3101012112121021111000110022101
4101230130111201212031011
540200004122113034442
6433302225450232101
722251241536051013
oct2154342541461505
9335477244013271
1077820873564997
1122883713383522
12888a259125631
133456627955894
14153079c3438b3
158ee475cabcb7
hex46c715866345

77820873564997 has 8 divisors (see below), whose sum is σ = 80545999384440. Its totient is φ = 75098524240320.

The previous prime is 77820873564989. The next prime is 77820873565007. The reversal of 77820873564997 is 79946537802877.

It is a Cunningham number, because it is equal to 88216142+1.

It can be written as a sum of positive squares in 4 ways, for example, as 40807387220356 + 37013486344641 = 6388066^2 + 6083871^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 77820873564997 - 23 = 77820873564989 is a prime.

It is a super-2 number, since 2×778208735649972 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 77820873564997.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77820873564197) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 694066654 + ... + 694178767.

It is an arithmetic number, because the mean of its divisors is an integer number (10068249923055).

Almost surely, 277820873564997 is an apocalyptic number.

It is an amenable number.

77820873564997 is a deficient number, since it is larger than the sum of its proper divisors (2725125819443).

77820873564997 is a wasteful number, since it uses less digits than its factorization.

77820873564997 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1388247383.

The product of its (nonzero) digits is 8961684480, while the sum is 82.

The spelling of 77820873564997 in words is "seventy-seven trillion, eight hundred twenty billion, eight hundred seventy-three million, five hundred sixty-four thousand, nine hundred ninety-seven".

Divisors: 1 29 1933 56057 1388245421 40259117209 2683478398793 77820873564997