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46276484201376 = 25311213230117829
BaseRepresentation
bin10101000010110100101010…
…11001101111101110100000
320001211222200202021020200020
422201122111121233232200
522031143214423421001
6242231042351153440
712514236263353602
oct1241322531575640
9201758622236606
1046276484201376
11138218239a7200
125234838b15880
131ca8b1386cc00
14b5db18213172
15553b56b19736
hex2a169566fba0

46276484201376 has 432 divisors, whose sum is σ = 144650520614880. Its totient is φ = 12938519193600.

The previous prime is 46276484201329. The next prime is 46276484201383. The reversal of 46276484201376 is 67310248467264.

46276484201376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5910902230 + ... + 5910910058.

It is an arithmetic number, because the mean of its divisors is an integer number (334839168090).

Almost surely, 246276484201376 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 46276484201376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72325260307440).

46276484201376 is an abundant number, since it is smaller than the sum of its proper divisors (98374036413504).

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

46276484201376 is a wasteful number, since it uses less digits than its factorization.

46276484201376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10901 (or 10869 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 60.

The spelling of 46276484201376 in words is "forty-six trillion, two hundred seventy-six billion, four hundred eighty-four million, two hundred one thousand, three hundred seventy-six".