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680229465300 = 2233527118997379
BaseRepresentation
bin10011110011000001101…
…01011110110011010100
32102000210100202011201000
421321200311132303110
542121102220342200
61240254302103300
7100100502024450
oct11714065366324
92360710664630
10680229465300
11242535888320
12ab9bb57ab30
134c1b74950b8
1424ccd6b1660
1512a63566300
hex9e60d5ecd4

680229465300 has 1152 divisors, whose sum is σ = 2792821248000. Its totient is φ = 137952460800.

The previous prime is 680229465299. The next prime is 680229465317. The reversal of 680229465300 is 3564922086.

680229465300 is a `hidden beast` number, since 6 + 8 + 0 + 22 + 94 + 6 + 530 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1794800511 + ... + 1794800889.

It is an arithmetic number, because the mean of its divisors is an integer number (2424324000).

Almost surely, 2680229465300 is an apocalyptic number.

680229465300 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 680229465300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1396410624000).

680229465300 is an abundant number, since it is smaller than the sum of its proper divisors (2112591782700).

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

680229465300 is a wasteful number, since it uses less digits than its factorization.

680229465300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 680229465300 in words is "six hundred eighty billion, two hundred twenty-nine million, four hundred sixty-five thousand, three hundred".