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368049894480 = 2432510714932063
BaseRepresentation
bin1010101101100010111…
…10111011010001010000
31022012000000210211202100
411112301132323101100
522012231233110410
6441025122320400
735406422325222
oct5266136732120
91265000724670
10368049894480
111320a8630214
125b3b71b9100
132892624b268
1413b56b6a412
1598919b58c0
hex55b17bb450

368049894480 has 240 divisors, whose sum is σ = 1255998182400. Its totient is φ = 96573821952.

The previous prime is 368049894467. The next prime is 368049894559. The reversal of 368049894480 is 84498940863.

368049894480 is a `hidden beast` number, since 3 + 68 + 0 + 4 + 9 + 8 + 94 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11462929 + ... + 11494991.

It is an arithmetic number, because the mean of its divisors is an integer number (5233325760).

Almost surely, 2368049894480 is an apocalyptic number.

368049894480 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 368049894480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627999091200).

368049894480 is an abundant number, since it is smaller than the sum of its proper divisors (887948287920).

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

368049894480 is a wasteful number, since it uses less digits than its factorization.

368049894480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32338 (or 32329 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 368049894480 in words is "three hundred sixty-eight billion, forty-nine million, eight hundred ninety-four thousand, four hundred eighty".