Search a number
-
+
31628216862 = 232112101143779
BaseRepresentation
bin11101011101001100…
…000100101000011110
310000122020001220000100
4131131030010220132
51004233310414422
622310234241530
72166530256534
oct353514045036
9100566056010
1031628216862
1112460338500
1261682862a6
132ca07ca328
1417607a6154
15c51a4d7ac
hex75d304a1e

31628216862 has 72 divisors (see below), whose sum is σ = 76070259720. Its totient is φ = 9489348000.

The previous prime is 31628216857. The next prime is 31628216863. The reversal of 31628216862 is 26861282613.

31628216862 is a `hidden beast` number, since 3 + 1 + 628 + 2 + 16 + 8 + 6 + 2 = 666.

It is a super-2 number, since 2×316282168622 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31628216863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 148089 + ... + 291867.

It is an arithmetic number, because the mean of its divisors is an integer number (1056531385).

Almost surely, 231628216862 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31628216862, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38035129860).

31628216862 is an abundant number, since it is smaller than the sum of its proper divisors (44442042858).

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

31628216862 is a wasteful number, since it uses less digits than its factorization.

31628216862 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143910 (or 143896 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The spelling of 31628216862 in words is "thirty-one billion, six hundred twenty-eight million, two hundred sixteen thousand, eight hundred sixty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 101 121 198 202 242 303 363 606 726 909 1089 1111 1818 2178 2222 3333 6666 9999 12221 19998 24442 36663 73326 109989 143779 219978 287558 431337 862674 1294011 1581569 2588022 3163138 4744707 9489414 14234121 14521679 17397259 28468242 29043358 34794518 43565037 52191777 87130074 104383554 130695111 156575331 159738469 261390222 313150662 319476938 479215407 958430814 1437646221 1757123159 2875292442 3514246318 5271369477 10542738954 15814108431 31628216862