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5663869286400 = 2113252132114481
BaseRepresentation
bin101001001101011100011…
…1010101011100000000000
3202001110102210022002202100
41102122320322223200000
51220244101014131100
620013540131150400
71123125650406213
oct122327072534000
922043383262670
105663869286400
111894040612276
12775842445400
1332113cc94b20
141581c032977a
159c4e4847400
hex526b8eab800

5663869286400 has 864 divisors, whose sum is σ = 21953041634160. Its totient is φ = 1387266048000.

The previous prime is 5663869286377. The next prime is 5663869286423. The reversal of 5663869286400 is 46829683665.

5663869286400 is a `hidden beast` number, since 5 + 6 + 63 + 8 + 6 + 92 + 86 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (5663869286377) and next prime (5663869286423).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1263972160 + ... + 1263976640.

Almost surely, 25663869286400 is an apocalyptic number.

5663869286400 is a gapful number since it is divisible by the number (50) 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 5663869286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10976520817080).

5663869286400 is an abundant number, since it is smaller than the sum of its proper divisors (16289172347760).

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

5663869286400 is a wasteful number, since it uses less digits than its factorization.

5663869286400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4743 (or 4715 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 63.

The spelling of 5663869286400 in words is "five trillion, six hundred sixty-three billion, eight hundred sixty-nine million, two hundred eighty-six thousand, four hundred".