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516990046519296 = 21432721929315971
BaseRepresentation
bin111010110001100110010000…
…0000100110100000000000000
32111210111202200020112122222200
41311203030200010310000000
51020230331103402104141
65031313540522433200
7213616204205520300
oct16543144004640000
92453452606478880
10516990046519296
1113a80227a3a2819
1249b98174662800
1319261c4bc9737c
1491946478cb600
153eb816e2c0ab6
hex1d63320134000

516990046519296 has 4320 divisors, whose sum is σ = 2013909101568000. Its totient is φ = 126726753484800.

The previous prime is 516990046519291. The next prime is 516990046519301. The reversal of 516990046519296 is 692915640099615.

516990046519296 is a `hidden beast` number, since 5 + 1 + 69 + 9 + 0 + 0 + 46 + 519 + 2 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (516990046519291) and next prime (516990046519301).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516990046519291) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7281549950941 + ... + 7281549951011.

It is an arithmetic number, because the mean of its divisors is an integer number (466182662400).

Almost surely, 2516990046519296 is an apocalyptic number.

516990046519296 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 516990046519296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1006954550784000).

516990046519296 is an abundant number, since it is smaller than the sum of its proper divisors (1496919055048704).

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

516990046519296 is a wasteful number, since it uses less digits than its factorization.

516990046519296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 283435200, while the sum is 72.

The spelling of 516990046519296 in words is "five hundred sixteen trillion, nine hundred ninety billion, forty-six million, five hundred nineteen thousand, two hundred ninety-six".