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212770715814 = 23341215312
BaseRepresentation
bin1100011000101000011…
…1110111100010100110
3202100012100122021012000
43012022013313202212
511441223300401224
6241425010510130
721241441146426
oct3061207674246
9670170567160
10212770715814
1182265581a98
12352a0595346
13170ab052657
14a426204486
1558046d50c9
hex318a1f78a6

212770715814 has 72 divisors (see below), whose sum is σ = 484954132680. Its totient is φ = 69148533600.

The previous prime is 212770715797. The next prime is 212770715827. The reversal of 212770715814 is 418517077212.

It is a happy number.

212770715814 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 212770715814.

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 35 ways as a sum of consecutive naturals, for example, 138974229 + ... + 138975759.

It is an arithmetic number, because the mean of its divisors is an integer number (6735474065).

Almost surely, 2212770715814 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212770715814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242477066340).

212770715814 is an abundant number, since it is smaller than the sum of its proper divisors (272183416866).

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

212770715814 is an frugal number, since it uses more digits than its factorization.

212770715814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3155 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 219520, while the sum is 45.

The spelling of 212770715814 in words is "two hundred twelve billion, seven hundred seventy million, seven hundred fifteen thousand, eight hundred fourteen".

Divisors: 1 2 3 6 9 18 27 41 54 82 123 246 369 738 1107 1531 1681 2214 3062 3362 4593 5043 9186 10086 13779 15129 27558 30258 41337 45387 62771 82674 90774 125542 188313 376626 564939 1129878 1694817 2343961 2573611 3389634 4687922 5147222 7031883 7720833 14063766 15441666 21095649 23162499 42191298 46324998 63286947 69487497 96102401 126573894 138974994 192204802 288307203 576614406 864921609 1729843218 2594764827 3940198441 5189529654 7880396882 11820595323 23641190646 35461785969 70923571938 106385357907 212770715814