Search a number
-
+
6993286902 = 233728165839
BaseRepresentation
bin1101000001101010…
…10001011011110110
3200001101002210011000
412200311101123312
5103310240140102
63113534224130
7335204646360
oct64065213366
920041083130
106993286902
112a69589a58
121432055046
13875ac54b4
144a4acdd30
152ade4001c
hex1a0d516f6

6993286902 has 64 divisors (see below), whose sum is σ = 17824204800. Its totient is φ = 1990941120.

The previous prime is 6993286879. The next prime is 6993286961. The reversal of 6993286902 is 2096823996.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 73299 + ... + 139137.

It is an arithmetic number, because the mean of its divisors is an integer number (278503200).

Almost surely, 26993286902 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6993286902, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8912102400).

6993286902 is an abundant number, since it is smaller than the sum of its proper divisors (10830917898).

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

6993286902 is a wasteful number, since it uses less digits than its factorization.

6993286902 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66138 (or 66132 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The square root of 6993286902 is about 83625.8745963234. The cubic root of 6993286902 is about 1912.3194779244.

The spelling of 6993286902 in words is "six billion, nine hundred ninety-three million, two hundred eighty-six thousand, nine hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 281 378 562 843 1686 1967 2529 3934 5058 5901 7587 11802 15174 17703 35406 53109 65839 106218 131678 197517 395034 460873 592551 921746 1185102 1382619 1777653 2765238 3555306 4147857 8295714 12443571 18500759 24887142 37001518 55502277 111004554 129505313 166506831 259010626 333013662 388515939 499520493 777031878 999040986 1165547817 2331095634 3496643451 6993286902