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8007772014 = 2321125369371
BaseRepresentation
bin1110111010100110…
…01110011101101110
3202200002000222002200
413131103032131232
5112344442201024
63402334202330
7402303640044
oct73523163556
922602028080
108007772014
11343a1a6700
1216759533a6
139a8034848
1455d72c394
1531d0332c9
hex1dd4ce76e

8007772014 has 72 divisors (see below), whose sum is σ = 19430958456. Its totient is φ = 2380778400.

The previous prime is 8007772009. The next prime is 8007772081. The reversal of 8007772014 is 4102777008.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 8007772014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 80749 + ... + 150119.

It is an arithmetic number, because the mean of its divisors is an integer number (269874423).

Almost surely, 28007772014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8007772014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9715479228).

8007772014 is an abundant number, since it is smaller than the sum of its proper divisors (11423186442).

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

8007772014 is a wasteful number, since it uses less digits than its factorization.

8007772014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69454 (or 69440 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 36.

The square root of 8007772014 is about 89486.1554319996. The cubic root of 8007772014 is about 2000.6474582096.

The spelling of 8007772014 in words is "eight billion, seven million, seven hundred seventy-two thousand, fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 53 66 99 106 121 159 198 242 318 363 477 583 726 954 1089 1166 1749 2178 3498 5247 6413 10494 12826 19239 38478 57717 69371 115434 138742 208113 416226 624339 763081 1248678 1526162 2289243 3676663 4578486 6867729 7353326 8393891 11029989 13735458 16787782 22059978 25181673 33089967 40443293 50363346 66179934 75545019 80886586 121329879 151090038 242659758 363989637 444876223 727979274 889752446 1334628669 2669257338 4003886007 8007772014