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46914726474 = 236711509821
BaseRepresentation
bin101011101100010101…
…011110101001001010
311111002120100001000000
4223230111132221022
51232040132221344
633315145223430
73250406411130
oct535425365112
9144076301000
1046914726474
111899515a420
129113791b76
1345687cc9a5
1423b0a8b750
151348aa9a69
hexaec55ea4a

46914726474 has 224 divisors, whose sum is σ = 131963748480. Its totient is φ = 12146889600.

The previous prime is 46914726457. The next prime is 46914726479. The reversal of 46914726474 is 47462741964.

It is a happy number.

46914726474 is a `hidden beast` number, since 4 + 6 + 9 + 147 + 26 + 474 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 46914726474.

It is not an unprimeable number, because it can be changed into a prime (46914726479) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 57142984 + ... + 57143804.

Almost surely, 246914726474 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46914726474, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65981874240).

46914726474 is an abundant number, since it is smaller than the sum of its proper divisors (85049022006).

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

46914726474 is a wasteful number, since it uses less digits than its factorization.

46914726474 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1368 (or 1353 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 54.

The spelling of 46914726474 in words is "forty-six billion, nine hundred fourteen million, seven hundred twenty-six thousand, four hundred seventy-four".