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46382840460 = 223451121731449
BaseRepresentation
bin101011001100101000…
…011111101010001100
311102201111111102120000
4223030220133222030
51224443001343320
633150305124300
73231260432055
oct531450375214
9142644442500
1046382840460
11187419a4600
128ba5629690
1344b2562338
14236019572c
151317043c90
hexacca1fa8c

46382840460 has 720 divisors, whose sum is σ = 175194835200. Its totient is φ = 10218700800.

The previous prime is 46382840459. The next prime is 46382840533. The reversal of 46382840460 is 6404828364.

46382840460 is a `hidden beast` number, since 4 + 638 + 2 + 8 + 4 + 0 + 4 + 6 + 0 = 666.

46382840460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 103302316 + ... + 103302764.

It is an arithmetic number, because the mean of its divisors is an integer number (243326160).

Almost surely, 246382840460 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 46382840460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87597417600).

46382840460 is an abundant number, since it is smaller than the sum of its proper divisors (128811994740).

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

46382840460 is a wasteful number, since it uses less digits than its factorization.

46382840460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 46382840460 in words is "forty-six billion, three hundred eighty-two million, eight hundred forty thousand, four hundred sixty".