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46422052116 = 2231117234012243
BaseRepresentation
bin101011001110111110…
…000100110100010100
311102211020021120211120
4223032332010310110
51230033021131431
633154225403540
73232244634546
oct531676046424
9142736246746
1046422052116
1118762046930
128bb67995b0
1344ba7110bb
142365481696
15131a6dc196
hexacef84d14

46422052116 has 192 divisors, whose sum is σ = 130939877376. Its totient is φ = 12626944000.

The previous prime is 46422052111. The next prime is 46422052141. The reversal of 46422052116 is 61125022464.

46422052116 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 (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46422052111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20695291 + ... + 20697533.

It is an arithmetic number, because the mean of its divisors is an integer number (681978528).

Almost surely, 246422052116 is an apocalyptic number.

46422052116 is a gapful number since it is divisible by the number (46) 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 46422052116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65469938688).

46422052116 is an abundant number, since it is smaller than the sum of its proper divisors (84517825260).

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

46422052116 is a wasteful number, since it uses less digits than its factorization.

46422052116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2702 (or 2700 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 46422052116 in words is "forty-six billion, four hundred twenty-two million, fifty-two thousand, one hundred sixteen".