Search a number
-
+
193390680105 = 3257613938667
BaseRepresentation
bin1011010000011011111…
…0111001100000101001
3200111011201200110001200
42310012332321200221
511132031003230410
6224501545234413
716654254441540
oct2640676714051
9614151613050
10193390680105
117501aaa7357
1231592192a09
131530cc436bc
1495083c1157
15506d0cc3c0
hex2d06fb9829

193390680105 has 24 divisors (see below), whose sum is σ = 383097728832. Its totient is φ = 88407167904.

The previous prime is 193390680101. The next prime is 193390680113. The reversal of 193390680105 is 501086093391.

193390680105 is a `hidden beast` number, since 193 + 390 + 68 + 0 + 10 + 5 = 666.

193390680105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 193390680105 - 22 = 193390680101 is a prime.

It is a super-2 number, since 2×1933906801052 (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (193390680101) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 306969019 + ... + 306969648.

It is an arithmetic number, because the mean of its divisors is an integer number (15962405368).

Almost surely, 2193390680105 is an apocalyptic number.

193390680105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

193390680105 is a deficient number, since it is larger than the sum of its proper divisors (189707048727).

193390680105 is a wasteful number, since it uses less digits than its factorization.

193390680105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613938685 (or 613938682 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 193390680105 in words is "one hundred ninety-three billion, three hundred ninety million, six hundred eighty thousand, one hundred five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 315 613938667 1841816001 3069693335 4297570669 5525448003 9209080005 12892712007 21487853345 27627240015 38678136021 64463560035 193390680105