Search a number
-
+
817132834116 = 22321506592
BaseRepresentation
bin10111110010000001110…
…10011000110101000100
32220010011101120220001100
423321000322120311010
5101341442001142431
61423215144300100
7113015212326504
oct13710072306504
92803141526040
10817132834116
112955a9200635
12112448171630
135c09463b541
142b799941a04
15163c74a74e6
hexbe40e98d44

817132834116 has 27 divisors (see below), whose sum is σ = 2065543929631. Its totient is φ = 272375803464.

The previous prime is 817132834109. The next prime is 817132834211. The reversal of 817132834116 is 611438231718.

The square root of 817132834116 is 903954.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5348395 + ... + 5499053.

Almost surely, 2817132834116 is an apocalyptic number.

817132834116 is the 903954-th square number.

It is an amenable number.

817132834116 is an abundant number, since it is smaller than the sum of its proper divisors (1248411095515).

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

817132834116 is an frugal number, since it uses more digits than its factorization.

817132834116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301328 (or 150664 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The spelling of 817132834116 in words is "eight hundred seventeen billion, one hundred thirty-two million, eight hundred thirty-four thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 150659 301318 451977 602636 903954 1355931 1807908 2711862 5423724 22698134281 45396268562 68094402843 90792537124 136188805686 204283208529 272377611372 408566417058 817132834116