Search a number
-
+
46243626624 = 2733138312401
BaseRepresentation
bin101011000100010101…
…011011111010000000
311102100210112122002000
4223010111123322000
51224201332022444
633124413224000
73224650224606
oct530425337200
9142323478060
1046243626624
111868035a148
128b66a92000
13448c76baa0
1423498b7876
151309be5469
hexac455be80

46243626624 has 256 divisors, whose sum is σ = 148764470400. Its totient is φ = 14056243200.

The previous prime is 46243626553. The next prime is 46243626631. The reversal of 46243626624 is 42662634264.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 46243626624.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3722824 + ... + 3735224.

Almost surely, 246243626624 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 46243626624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74382235200).

46243626624 is an abundant number, since it is smaller than the sum of its proper divisors (102520843776).

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

46243626624 is a wasteful number, since it uses less digits than its factorization.

46243626624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12520 (or 12502 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 45.

The spelling of 46243626624 in words is "forty-six billion, two hundred forty-three million, six hundred twenty-six thousand, six hundred twenty-four".