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46147628613240 = 2336571122278231
BaseRepresentation
bin10100111111000100101010…
…00000101011111001111000
320001101200002120202011000000
422133202111000223321320
522022040320411110430
6242051532232513000
712502025154054150
oct1237422500537170
9201350076664000
1046147628613240
1113782110316700
12521387754b760
131c99919ac8a7b
14b577b2b27760
155506144b0e60
hex29f89502be78

46147628613240 has 1344 divisors, whose sum is σ = 196446596129280. Its totient is φ = 9545714956800.

The previous prime is 46147628613227. The next prime is 46147628613259. The reversal of 46147628613240 is 4231682674164.

46147628613240 is a `hidden beast` number, since 4 + 6 + 1 + 4 + 7 + 628 + 6 + 1 + 3 + 2 + 4 + 0 = 666.

46147628613240 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 (54).

It is a congruent number.

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 335 ways as a sum of consecutive naturals, for example, 5606559925 + ... + 5606568155.

It is an arithmetic number, because the mean of its divisors is an integer number (146165622120).

Almost surely, 246147628613240 is an apocalyptic number.

46147628613240 is a gapful number since it is divisible by the number (40) 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 46147628613240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98223298064640).

46147628613240 is an abundant number, since it is smaller than the sum of its proper divisors (150298967516040).

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

46147628613240 is a wasteful number, since it uses less digits than its factorization.

46147628613240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8516 (or 8486 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 46147628613240 in words is "forty-six trillion, one hundred forty-seven billion, six hundred twenty-eight million, six hundred thirteen thousand, two hundred forty".