Search a number
-
+
46092644000 = 25531317232267
BaseRepresentation
bin101010111011010101…
…011110111010100000
311101222021102220211222
4222323111132322200
51223344204102000
633101421154212
73221135003204
oct527325367240
9141867386758
1046092644000
1118603106717
128b243bb968
1344673b7860
142333814b04
1512eb81ea85
hexabb55eea0

46092644000 has 384 divisors, whose sum is σ = 134809339392. Its totient is φ = 15314534400.

The previous prime is 46092643997. The next prime is 46092644021. The reversal of 46092644000 is 44629064.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20330867 + ... + 20333133.

It is an arithmetic number, because the mean of its divisors is an integer number (351065988).

Almost surely, 246092644000 is an apocalyptic number.

46092644000 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 46092644000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67404669696).

46092644000 is an abundant number, since it is smaller than the sum of its proper divisors (88716695392).

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

46092644000 is a wasteful number, since it uses less digits than its factorization.

46092644000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2345 (or 2327 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 35.

The spelling of 46092644000 in words is "forty-six billion, ninety-two million, six hundred forty-four thousand".