Search a number
-
+
213969133710 = 2335172983107181
BaseRepresentation
bin1100011101000110001…
…1011110000010001110
3202110021212200012111000
43013101203132002032
512001202044234320
6242143541041130
721313232425233
oct3072143360216
9673255605430
10213969133710
118281aaa8102
12355759b61a6
131723c411977
14a4db44178a
155874a0bc90
hex31d18de08e

213969133710 has 512 divisors, whose sum is σ = 641949235200. Its totient is φ = 50466447360.

The previous prime is 213969133709. The next prime is 213969133723. The reversal of 213969133710 is 17331969312.

213969133710 is a `hidden beast` number, since 213 + 9 + 6 + 91 + 337 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1182149820 + ... + 1182150000.

It is an arithmetic number, because the mean of its divisors is an integer number (1253807100).

Almost surely, 2213969133710 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213969133710, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320974617600).

213969133710 is an abundant number, since it is smaller than the sum of its proper divisors (427980101490).

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

213969133710 is a wasteful number, since it uses less digits than its factorization.

213969133710 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 45.

The spelling of 213969133710 in words is "two hundred thirteen billion, nine hundred sixty-nine million, one hundred thirty-three thousand, seven hundred ten".