Search a number
-
+
191340783540 = 223253134290463
BaseRepresentation
bin1011001000110011001…
…1001010011110110100
3200021212212102220121200
42302030303022132310
511113331220033130
6223522321012500
716552413552654
oct2621463123664
9607785386550
10191340783540
117416897a765
12310bb784130
131507434905a
149392058364
154e9d160760
hex2c8ccca7b4

191340783540 has 72 divisors (see below), whose sum is σ = 599122987008. Its totient is φ = 49378265280.

The previous prime is 191340783527. The next prime is 191340783541. The reversal of 191340783540 is 45387043191.

191340783540 is a `hidden beast` number, since 1 + 9 + 1 + 34 + 0 + 78 + 3 + 540 = 666.

191340783540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1913407835402 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (191340783541) 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, 17139652 + ... + 17150811.

Almost surely, 2191340783540 is an apocalyptic number.

191340783540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

191340783540 is an abundant number, since it is smaller than the sum of its proper divisors (407782203468).

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

191340783540 is a wasteful number, since it uses less digits than its factorization.

191340783540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34290509 (or 34290504 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 191340783540 in words is "one hundred ninety-one billion, three hundred forty million, seven hundred eighty-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 930 1116 1395 1860 2790 5580 34290463 68580926 102871389 137161852 171452315 205742778 308614167 342904630 411485556 514356945 617228334 685809260 1028713890 1063004353 1234456668 1543070835 2057427780 2126008706 3086141670 3189013059 4252017412 5315021765 6172283340 6378026118 9567039177 10630043530 12756052236 15945065295 19134078354 21260087060 31890130590 38268156708 47835195885 63780261180 95670391770 191340783540