Search a number
-
+
944094890466 = 23271331132714011
BaseRepresentation
bin11011011110100000111…
…00001100100111100010
310100020212121002121102200
431233100130030213202
5110432001242443331
62001413341554030
7125131360106340
oct15572034144742
93306777077380
10944094890466
1133442aa53732
12132b7b575916
136b049004c80
14339a1768990
151985877e5e6
hexdbd070c9e2

944094890466 has 192 divisors, whose sum is σ = 2600942862336. Its totient is φ = 240761289600.

The previous prime is 944094890423. The next prime is 944094890483. The reversal of 944094890466 is 664098490449.

944094890466 is a `hidden beast` number, since 9 + 4 + 4 + 0 + 94 + 89 + 0 + 466 = 666.

944094890466 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 (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 67375401 + ... + 67389411.

It is an arithmetic number, because the mean of its divisors is an integer number (13546577408).

Almost surely, 2944094890466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 944094890466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1300471431168).

944094890466 is an abundant number, since it is smaller than the sum of its proper divisors (1656847971870).

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

944094890466 is a wasteful number, since it uses less digits than its factorization.

944094890466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15397 (or 15394 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 944094890466 in words is "nine hundred forty-four billion, ninety-four million, eight hundred ninety thousand, four hundred sixty-six".