Search a number
-
+
16601616031 = 71113314711383
BaseRepresentation
bin11110111011000100…
…01000111010011111
31120211222212110211211
433131202020322133
5233000003203111
611343210125251
71125255256630
oct173542107237
946758773754
1016601616031
11704a1a7930
123273a20827
1317475c9550
14b36c19887
15672732521
hex3dd888e9f

16601616031 has 64 divisors (see below), whose sum is σ = 23500947456. Its totient is φ = 11309155200.

The previous prime is 16601616019. The next prime is 16601616049. The reversal of 16601616031 is 13061610661.

It is not a de Polignac number, because 16601616031 - 27 = 16601615903 is a prime.

It is a super-2 number, since 2×166016160312 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 16601615984 and 16601616002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16601616331) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1452766 + ... + 1464148.

It is an arithmetic number, because the mean of its divisors is an integer number (367202304).

Almost surely, 216601616031 is an apocalyptic number.

16601616031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

16601616031 is a deficient number, since it is larger than the sum of its proper divisors (6899331425).

16601616031 is a wasteful number, since it uses less digits than its factorization.

16601616031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11492.

The product of its (nonzero) digits is 3888, while the sum is 31.

The spelling of 16601616031 in words is "sixteen billion, six hundred one million, six hundred sixteen thousand, thirty-one".

Divisors: 1 7 11 13 31 47 77 91 143 217 329 341 403 517 611 1001 1457 2387 2821 3619 4277 4433 6721 10199 11383 16027 18941 31031 47047 79681 112189 125213 132587 147979 208351 352873 535001 876491 1035853 1458457 1627769 2470111 3745007 3881603 4587349 5885011 6955013 11394383 16585031 27171221 32111443 41195077 48685091 50460839 76505143 116095217 182435341 215605403 353225873 535536001 1277047387 1509237821 2371659433 16601616031