Search a number
-
+
46892274660 = 22325711327961
BaseRepresentation
bin101011101010111111…
…110101001111100100
311111001000002100220100
4223222333311033210
51232013410242120
633313024104100
73250014521010
oct535277651744
9144030070810
1046892274660
1118983515000
129108165030
134563c6b5aa
1423abac5540
151346b22490
hexaeaff53e4

46892274660 has 288 divisors, whose sum is σ = 178810055424. Its totient is φ = 9743500800.

The previous prime is 46892274659. The next prime is 46892274677. The reversal of 46892274660 is 6647229864.

It is a junction number, because it is equal to n+sod(n) for n = 46892274597 and 46892274606.

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 95 ways as a sum of consecutive naturals, for example, 1663080 + ... + 1691040.

It is an arithmetic number, because the mean of its divisors is an integer number (620868248).

Almost surely, 246892274660 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 46892274660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89405027712).

46892274660 is an abundant number, since it is smaller than the sum of its proper divisors (131917780764).

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

46892274660 is a wasteful number, since it uses less digits than its factorization.

46892274660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28016 (or 27989 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 46892274660 in words is "forty-six billion, eight hundred ninety-two million, two hundred seventy-four thousand, six hundred sixty".