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1600401330630 = 2325971723106397
BaseRepresentation
bin10111010010011111010…
…110100101000111000110
312122222220201110012002200
4113102133112211013012
5202210110220040010
63223114134415330
7223424302600134
oct27223726450706
95588821405080
101600401330630
115677a99130a3
1221a203201546
13b7bc011219b
1457661b1a754
152b96b95bcc0
hex1749f5a51c6

1600401330630 has 96 divisors (see below), whose sum is σ = 4206420245664. Its totient is φ = 422124853248.

The previous prime is 1600401330623. The next prime is 1600401330637. The reversal of 1600401330630 is 360331040061.

1600401330630 is a `hidden beast` number, since 1 + 600 + 40 + 13 + 3 + 0 + 6 + 3 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1600401330623) and next prime (1600401330637).

It is a super-2 number, since 2×16004013306302 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1600401330594 and 1600401330603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1600401330637) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14988592 + ... + 15094988.

It is an arithmetic number, because the mean of its divisors is an integer number (43816877559).

Almost surely, 21600401330630 is an apocalyptic number.

1600401330630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1600401330630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2103210122832).

1600401330630 is an abundant number, since it is smaller than the sum of its proper divisors (2606018915034).

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

1600401330630 is a wasteful number, since it uses less digits than its factorization.

1600401330630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108230 (or 108227 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 1600401330630 its reverse (360331040061), we get a palindrome (1960732370691).

The spelling of 1600401330630 in words is "one trillion, six hundred billion, four hundred one million, three hundred thirty thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 97 194 291 485 582 873 970 1455 1723 1746 2910 3446 4365 5169 8615 8730 10338 15507 17230 25845 31014 51690 77535 106397 155070 167131 212794 319191 334262 501393 531985 638382 835655 957573 1002786 1063970 1504179 1595955 1671310 1915146 2506965 3008358 3191910 4787865 5013930 7520895 9575730 10320509 15041790 20641018 30961527 51602545 61923054 92884581 103205090 154807635 183322031 185769162 309615270 366644062 464422905 549966093 916610155 928845810 1099932186 1649898279 1833220310 2749830465 3299796558 5499660930 8249491395 16498982790 17782237007 35564474014 53346711021 88911185035 106693422042 160040133063 177822370070 266733555105 320080266126 533467110210 800200665315 1600401330630