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676937783340 = 22325713211195863
BaseRepresentation
bin10011101100111001010…
…00101101100000101100
32101201021221212101221100
421312130220231200230
542042332033031330
61234551514003100
766623102135160
oct11663450554054
92351257771840
10676937783340
112410a6804a05
12ab241116490
134bab1535bb0
1424a9a45cca0
151291e5a8060
hex9d9ca2d82c

676937783340 has 288 divisors, whose sum is σ = 2539224769536. Its totient is φ = 142148805120.

The previous prime is 676937783329. The next prime is 676937783381. The reversal of 676937783340 is 43387739676.

676937783340 is a `hidden beast` number, since 67 + 6 + 93 + 77 + 83 + 340 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3358249 + ... + 3554111.

It is an arithmetic number, because the mean of its divisors is an integer number (8816752672).

Almost surely, 2676937783340 is an apocalyptic number.

676937783340 is a gapful number since it is divisible by the number (60) 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 676937783340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1269612384768).

676937783340 is an abundant number, since it is smaller than the sum of its proper divisors (1862286986196).

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

676937783340 is a wasteful number, since it uses less digits than its factorization.

676937783340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196109 (or 196104 counting only the distinct ones).

The product of its (nonzero) digits is 96018048, while the sum is 63.

The spelling of 676937783340 in words is "six hundred seventy-six billion, nine hundred thirty-seven million, seven hundred eighty-three thousand, three hundred forty".