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5035346060976 = 24327112317118757
BaseRepresentation
bin100100101000110001000…
…0000110110011010110000
3122211101002220222001202200
41021101202000312122300
51124444342042422401
614413112301143200
71026535366215450
oct111214200663260
918741086861680
105035346060976
111671529642300
12693a7325ab00
132a6aa5bc224a
141359d7c15d60
158aeaa85d686
hex494620366b0

5035346060976 has 720 divisors, whose sum is σ = 18531717894144. Its totient is φ = 1247799168000.

The previous prime is 5035346060959. The next prime is 5035346061029. The reversal of 5035346060976 is 6790606435305.

5035346060976 is a `hidden beast` number, since 5 + 0 + 3 + 53 + 460 + 60 + 9 + 76 = 666.

It is a super-2 number, since 2×50353460609762 (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 268442190 + ... + 268460946.

Almost surely, 25035346060976 is an apocalyptic number.

5035346060976 is a gapful number since it is divisible by the number (56) 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 5035346060976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9265858947072).

5035346060976 is an abundant number, since it is smaller than the sum of its proper divisors (13496371833168).

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

5035346060976 is a wasteful number, since it uses less digits than its factorization.

5035346060976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18902 (or 18882 counting only the distinct ones).

The product of its (nonzero) digits is 12247200, while the sum is 54.

The spelling of 5035346060976 in words is "five trillion, thirty-five billion, three hundred forty-six million, sixty thousand, nine hundred seventy-six".