Search a number
-
+
212450065024 = 2731295318131
BaseRepresentation
bin1100010111011100000…
…0101011101010000000
3202022101000021111222211
43011313000223222000
511440044204040044
6241333114111504
721230465520451
oct3056700535200
9668330244884
10212450065024
118211058333a
123521111b594
13170597a4162
14a3d57b7128
1557d6497634
hex317702ba80

212450065024 has 64 divisors (see below), whose sum is σ = 437065332480. Its totient is φ = 102757939200.

The previous prime is 212450065007. The next prime is 212450065043. The reversal of 212450065024 is 420560054212.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11708439 + ... + 11726569.

It is an arithmetic number, because the mean of its divisors is an integer number (6829145820).

Almost surely, 2212450065024 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 212450065024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218532666240).

212450065024 is an abundant number, since it is smaller than the sum of its proper divisors (224615267456).

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

212450065024 is a wasteful number, since it uses less digits than its factorization.

212450065024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21129 (or 21117 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

The spelling of 212450065024 in words is "two hundred twelve billion, four hundred fifty million, sixty-five thousand, twenty-four".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 496 992 1984 2953 3968 5906 11812 18131 23624 36262 47248 72524 91543 94496 145048 183086 188992 290096 366172 377984 562061 580192 732344 1124122 1160384 1464688 2248244 2320768 2929376 4496488 5858752 8992976 11717504 17985952 35971904 53540843 71943808 107081686 214163372 428326744 856653488 1659766133 1713306976 3319532266 3426613952 6639064532 6853227904 13278129064 26556258128 53112516256 106225032512 212450065024