Search a number
-
+
214644994368 = 26373759149491
BaseRepresentation
bin1100011111100111010…
…1101011000101000000
3202112000222102111000020
43013321311223011000
512004043104304433
6242335003053440
721336050230410
oct3077165530500
9675028374006
10214644994368
118303755a232
1235724211280
131731944b80c
14a5630d4640
1558b4011cb3
hex31f9d6b140

214644994368 has 448 divisors, whose sum is σ = 683824896000. Its totient is φ = 58145955840.

The previous prime is 214644994273. The next prime is 214644994393. The reversal of 214644994368 is 863499446412.

It is a happy number.

214644994368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 437158603 + ... + 437159093.

Almost surely, 2214644994368 is an apocalyptic number.

214644994368 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214644994368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341912448000).

214644994368 is an abundant number, since it is smaller than the sum of its proper divisors (469179901632).

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

214644994368 is a wasteful number, since it uses less digits than its factorization.

214644994368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 748 counting only the distinct ones).

The product of its digits is 35831808, while the sum is 60.

The spelling of 214644994368 in words is "two hundred fourteen billion, six hundred forty-four million, nine hundred ninety-four thousand, three hundred sixty-eight".