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396563993280 = 2632572131931367
BaseRepresentation
bin1011100010101010000…
…11100101001011000000
31101220121020010010212200
411301111003211023000
522444130340241110
6502102354353200
740436140216500
oct5612503451300
91356536103780
10396563993280
11143200043724
1264a3458b800
132b51b819480
141529db01a00
15a4aee2c6c0
hex5c550e52c0

396563993280 has 2016 divisors, whose sum is σ = 1861782773760. Its totient is φ = 76500910080.

The previous prime is 396563993263. The next prime is 396563993281. The reversal of 396563993280 is 82399365693.

396563993280 is a `hidden beast` number, since 3 + 96 + 56 + 399 + 32 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (396563993281) 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, 1080555657 + ... + 1080556023.

It is an arithmetic number, because the mean of its divisors is an integer number (923503360).

Almost surely, 2396563993280 is an apocalyptic number.

396563993280 is a gapful number since it is divisible by the number (30) 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 396563993280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (930891386880).

396563993280 is an abundant number, since it is smaller than the sum of its proper divisors (1465218780480).

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

396563993280 is a wasteful number, since it uses less digits than its factorization.

396563993280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 56687040, while the sum is 63.

The spelling of 396563993280 in words is "three hundred ninety-six billion, five hundred sixty-three million, nine hundred ninety-three thousand, two hundred eighty".