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2797663298976 = 2532713211936883
BaseRepresentation
bin101000101101100001101…
…110100010010110100000
3100220110020222001212202100
4220231201232202112200
5331314103301031401
65541121225450400
7406060463450460
oct50554156422640
910813228055670
102797663298976
11989533aa7507
12392257940a00
13173a84388800
149959c751ba0
154cb9109db86
hex28b61ba25a0

2797663298976 has 432 divisors, whose sum is σ = 9855307215936. Its totient is φ = 737119678464.

The previous prime is 2797663298939. The next prime is 2797663299019. The reversal of 2797663298976 is 6798923667972.

2797663298976 is a `hidden beast` number, since 2 + 7 + 97 + 66 + 329 + 89 + 76 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2797663298895 and 2797663298904.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 406456431 + ... + 406463313.

It is an arithmetic number, because the mean of its divisors is an integer number (22813211148).

Almost surely, 22797663298976 is an apocalyptic number.

2797663298976 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2797663298976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4927653607968).

2797663298976 is an abundant number, since it is smaller than the sum of its proper divisors (7057643916960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2797663298976 is a wasteful number, since it uses less digits than its factorization.

2797663298976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8125 (or 8101 counting only the distinct ones).

The product of its digits is 5184974592, while the sum is 81.

The spelling of 2797663298976 in words is "two trillion, seven hundred ninety-seven billion, six hundred sixty-three million, two hundred ninety-eight thousand, nine hundred seventy-six".