Search a number
-
+
193380168366 = 2357115397501
BaseRepresentation
bin1011010000011001011…
…0110011001010101110
3200111010222220101200000
42310012112303022232
511132020310341431
6224500532045130
716654066211220
oct2640626631256
9614128811600
10193380168366
1175015077770
123158a7637a6
131530aa02c38
149506c46410
15506c2029e6
hex2d065b32ae

193380168366 has 192 divisors, whose sum is σ = 551951801856. Its totient is φ = 49280400000.

The previous prime is 193380168337. The next prime is 193380168403. The reversal of 193380168366 is 663861083391.

193380168366 is a `hidden beast` number, since 1 + 93 + 38 + 0 + 168 + 366 = 666.

193380168366 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 95 ways as a sum of consecutive naturals, for example, 1934616 + ... + 2032116.

It is an arithmetic number, because the mean of its divisors is an integer number (2874748968).

Almost surely, 2193380168366 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 193380168366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275975900928).

193380168366 is an abundant number, since it is smaller than the sum of its proper divisors (358571633490).

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

193380168366 is a wasteful number, since it uses less digits than its factorization.

193380168366 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97589 (or 97577 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 193380168366 in words is "one hundred ninety-three billion, three hundred eighty million, one hundred sixty-eight thousand, three hundred sixty-six".