Search a number
-
+
1606434550992 = 243241272092573
BaseRepresentation
bin10111011000000110111…
…101011111010011010000
312200120111012000112112200
4113120012331133103100
5202304434221112432
63225552535323200
7224026642245645
oct27300675372320
95616435015480
101606434550992
1156a315473927
1221b407820500
13b864203c96b
1457a750d5dcc
152bbc1457a7c
hex17606f5f4d0

1606434550992 has 60 divisors (see below), whose sum is σ = 4605438907524. Its totient is φ = 522417738240.

The previous prime is 1606434550961. The next prime is 1606434550993. The reversal of 1606434550992 is 2990554346061.

1606434550992 is a `hidden beast` number, since 1 + 6 + 0 + 6 + 4 + 3 + 45 + 509 + 92 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 341565438096 + 1264869112896 = 584436^2 + 1124664^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1606434550993) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 136040383 + ... + 136052190.

Almost surely, 21606434550992 is an apocalyptic number.

1606434550992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1606434550992 is an abundant number, since it is smaller than the sum of its proper divisors (2999004356532).

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

1606434550992 is a wasteful number, since it uses less digits than its factorization.

1606434550992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272092628 (or 272092619 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 1606434550992 in words is "one trillion, six hundred six billion, four hundred thirty-four million, five hundred fifty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 144 164 246 328 369 492 656 738 984 1476 1968 2952 5904 272092573 544185146 816277719 1088370292 1632555438 2176740584 2448833157 3265110876 4353481168 4897666314 6530221752 9795332628 11155795493 13060443504 19590665256 22311590986 33467386479 39181330512 44623181972 66934772958 89246363944 100402159437 133869545916 178492727888 200804318874 267739091832 401608637748 535478183664 803217275496 1606434550992