Search a number
-
+
214502696856 = 23337192392983
BaseRepresentation
bin1100011111000101011…
…0110110011110011000
3202111200001200000112000
43013301112312132120
512003300142244411
6242312521121000
721332401561020
oct3076126663630
9674601600460
10214502696856
1182a741a8a88
12356a4629160
13172c5b187c6
14a54c252a80
1558a67a4956
hex31f15b6798

214502696856 has 192 divisors, whose sum is σ = 718689139200. Its totient is φ = 58060732608.

The previous prime is 214502696843. The next prime is 214502696893. The reversal of 214502696856 is 658696205412.

214502696856 is a `hidden beast` number, since 2 + 1 + 450 + 26 + 96 + 85 + 6 = 666.

It is a super-2 number, since 2×2145026968562 (a number of 23 digits) contains 22 as substring.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 349341 + ... + 742323.

It is an arithmetic number, because the mean of its divisors is an integer number (3743172600).

Almost surely, 2214502696856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214502696856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359344569600).

214502696856 is an abundant number, since it is smaller than the sum of its proper divisors (504186442344).

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

214502696856 is a wasteful number, since it uses less digits than its factorization.

214502696856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393043 (or 393014 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 214502696856 in words is "two hundred fourteen billion, five hundred two million, six hundred ninety-six thousand, eight hundred fifty-six".