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52514455680 = 2733519592711
BaseRepresentation
bin110000111010000110…
…110000000010000000
312000112211012202101000
4300322012300002000
51330022200040210
640042543012000
73536233336221
oct607206600200
9160484182330
1052514455680
11202a904a8a5
12a216b9a000
134c4b990b1b
142782665248
1515754c8ac0
hexc3a1b0080

52514455680 has 512 divisors, whose sum is σ = 199169280000. Its totient is φ = 13037137920.

The previous prime is 52514455657. The next prime is 52514455717. The reversal of 52514455680 is 8655441525.

52514455680 is a `hidden beast` number, since 5 + 2 + 5 + 14 + 4 + 556 + 80 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19369525 + ... + 19372235.

It is an arithmetic number, because the mean of its divisors is an integer number (389002500).

Almost surely, 252514455680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52514455680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99584640000).

52514455680 is an abundant number, since it is smaller than the sum of its proper divisors (146654824320).

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

52514455680 is a wasteful number, since it uses less digits than its factorization.

52514455680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2817 (or 2799 counting only the distinct ones).

The product of its (nonzero) digits is 960000, while the sum is 45.

The spelling of 52514455680 in words is "fifty-two billion, five hundred fourteen million, four hundred fifty-five thousand, six hundred eighty".