Search a number
-
+
691834404096 = 2833114125413
BaseRepresentation
bin10100001000101001000…
…10110011110100000000
32110010202010111010222000
422010110202303310000
542313334101412341
61245454020144000
7100661205256323
oct12042442636400
92403663433860
10691834404096
11247450537630
12b20b9b38000
13503168272a4
14256b0a527ba
1512ee229b8b6
hexa1148b3d00

691834404096 has 432 divisors, whose sum is σ = 2288050820160. Its totient is φ = 204495667200.

The previous prime is 691834404073. The next prime is 691834404199. The reversal of 691834404096 is 690404438196.

It is a happy number.

691834404096 is a `hidden beast` number, since 69 + 18 + 3 + 440 + 40 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127807086 + ... + 127812498.

Almost surely, 2691834404096 is an apocalyptic number.

691834404096 is a gapful number since it is divisible by the number (66) 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 691834404096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1144025410080).

691834404096 is an abundant number, since it is smaller than the sum of its proper divisors (1596216416064).

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

691834404096 is a wasteful number, since it uses less digits than its factorization.

691834404096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5531 (or 5470 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 691834404096 in words is "six hundred ninety-one billion, eight hundred thirty-four million, four hundred four thousand, ninety-six".