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921323712961 = 6732017678721
BaseRepresentation
bin11010110100000110010…
…11000011000111000001
310021002002122002221022001
431122003023003013001
5110043332332303321
61543130020344001
7123364155226621
oct15320313030701
93232078087261
10921323712961
11325805242a73
1212a685545001
1368b5a482142
1432841402881
1518e745bdc91
hexd6832c31c1

921323712961 has 8 divisors (see below), whose sum is σ = 923151511304. Its totient is φ = 919497277440.

The previous prime is 921323712949. The next prime is 921323712979. The reversal of 921323712961 is 169217323129.

It is a happy number.

921323712961 is a nontrivial binomial coefficient, being equal to C(1357442, 2).

It can be written as a sum of positive squares in 4 ways, for example, as 38203047936 + 883120665025 = 195456^2 + 939745^2 .

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

It is a 3-Lehmer number, since φ(921323712961) divides (921323712961-1)3.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 921323712961 - 27 = 921323712833 is a prime.

It is a deceptive number, since it divides R921323712960.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (921323712461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1018081 + ... + 1696801.

It is an arithmetic number, because the mean of its divisors is an integer number (115393938913).

It is a Poulet number, since it divides 2921323712960-1.

Almost surely, 2921323712961 is an apocalyptic number.

921323712961 is the 1357441-st triangular number and also the 678721-st hexagonal number.

921323712961 is the 452481-st centered nonagonal number.

It is an amenable number.

921323712961 is a deficient number, since it is larger than the sum of its proper divisors (1827798343).

921323712961 is a wasteful number, since it uses less digits than its factorization.

921323712961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681411.

The product of its digits is 244944, while the sum is 46.

The spelling of 921323712961 in words is "nine hundred twenty-one billion, three hundred twenty-three million, seven hundred twelve thousand, nine hundred sixty-one".

Divisors: 1 673 2017 678721 1357441 456779233 1368980257 921323712961