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307680520896 = 26337223157991
BaseRepresentation
bin1000111101000110011…
…00000010101011000000
31002102011210011220201000
410132203030002223000
520020112203132041
6353202501212000
731141416163500
oct4364314025300
91072153156630
10307680520896
111095396a6331
124b769701000
1323025113928
1410c6b205a00
15800baedbb6
hex47a3302ac0

307680520896 has 336 divisors, whose sum is σ = 1097955924480. Its totient is φ = 84086069760.

The previous prime is 307680520801. The next prime is 307680520949. The reversal of 307680520896 is 698025086703.

It is a happy number.

307680520896 is a `hidden beast` number, since 30 + 7 + 6 + 8 + 0 + 520 + 89 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1868461 + ... + 2026451.

Almost surely, 2307680520896 is an apocalyptic number.

307680520896 is a gapful number since it is divisible by the number (36) 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 307680520896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548977962240).

307680520896 is an abundant number, since it is smaller than the sum of its proper divisors (790275403584).

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

307680520896 is a wasteful number, since it uses less digits than its factorization.

307680520896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158049 (or 158026 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 307680520896 in words is "three hundred seven billion, six hundred eighty million, five hundred twenty thousand, eight hundred ninety-six".