Search a number
-
+
213033867540480 = 211335719113167307
BaseRepresentation
bin110000011100000011001111…
…111111111111100000000000
31000221021211122111212220101000
4300130003033333333200000
5210410321330042243410
62033030224021012000
762605121555405250
oct6034031777774000
91027254574786330
10213033867540480
1161974179499518
121ba87483254000
1391b401366397c
143a86c739a7960
151996776b5cdc0
hexc1c0cffff800

213033867540480 has 3072 divisors, whose sum is σ = 927577018368000. Its totient is φ = 45300578254848.

The previous prime is 213033867540479. The next prime is 213033867540503. The reversal of 213033867540480 is 84045768330312.

It is a happy number.

213033867540480 is a `hidden beast` number, since 2 + 1 + 3 + 0 + 3 + 38 + 67 + 540 + 4 + 8 + 0 = 666.

213033867540480 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 (3072).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 693921392487 + ... + 693921392793.

It is an arithmetic number, because the mean of its divisors is an integer number (301945644000).

Almost surely, 2213033867540480 is an apocalyptic number.

213033867540480 is a gapful number since it is divisible by the number (20) 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 213033867540480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463788509184000).

213033867540480 is an abundant number, since it is smaller than the sum of its proper divisors (714543150827520).

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

213033867540480 is a wasteful number, since it uses less digits than its factorization.

213033867540480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 213033867540480 in words is "two hundred thirteen trillion, thirty-three billion, eight hundred sixty-seven million, five hundred forty thousand, four hundred eighty".