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485681163264 = 210341117173181
BaseRepresentation
bin1110001000101001101…
…10100110110000000000
31201102121221210102220000
413010110312212300000
530424133334211024
61011041400520000
750042426525553
oct7042466466000
91642557712800
10485681163264
11177a8139a530
127a165780000
1336a5177730b
141971567269a
15c978a1ecc9
hex7114da6c00

485681163264 has 880 divisors, whose sum is σ = 1694250413856. Its totient is φ = 136957132800.

The previous prime is 485681163241. The next prime is 485681163293. The reversal of 485681163264 is 462361186584.

485681163264 is a `hidden beast` number, since 4 + 8 + 568 + 1 + 16 + 3 + 2 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 485681163264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2683321254 + ... + 2683321434.

Almost surely, 2485681163264 is an apocalyptic number.

485681163264 is a gapful number since it is divisible by the number (44) 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 485681163264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (847125206928).

485681163264 is an abundant number, since it is smaller than the sum of its proper divisors (1208569250592).

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

485681163264 is a wasteful number, since it uses less digits than its factorization.

485681163264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 387 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The spelling of 485681163264 in words is "four hundred eighty-five billion, six hundred eighty-one million, one hundred sixty-three thousand, two hundred sixty-four".