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676984957248 = 263172314816089
BaseRepresentation
bin10011101100111110111…
…00101010100101000000
32101201102020122002101010
421312133130222211000
542042431122112443
61235000321040520
766624214122345
oct11663734524500
92351366562333
10676984957248
112411203a5406
12ab254a86140
134babb241b52
1424aa281c7cc
15129237c5733
hex9d9f72a940

676984957248 has 224 divisors, whose sum is σ = 1980673793280. Its totient is φ = 202982686720.

The previous prime is 676984957223. The next prime is 676984957279. The reversal of 676984957248 is 842759489676.

676984957248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 676984957248.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111178588 + ... + 111184676.

It is an arithmetic number, because the mean of its divisors is an integer number (8842293720).

Almost surely, 2676984957248 is an apocalyptic number.

676984957248 is a gapful number since it is divisible by the number (68) 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 676984957248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (990336896640).

676984957248 is an abundant number, since it is smaller than the sum of its proper divisors (1303688836032).

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

676984957248 is a wasteful number, since it uses less digits than its factorization.

676984957248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7625 (or 7615 counting only the distinct ones).

The product of its digits is 1463132160, while the sum is 75.

The spelling of 676984957248 in words is "six hundred seventy-six billion, nine hundred eighty-four million, nine hundred fifty-seven thousand, two hundred forty-eight".