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190213672275 = 33521131182373
BaseRepresentation
bin1011000100100110011…
…1100100110101010011
3200011222022120201122000
42301021213210311103
511104024200003100
6223214415045043
716512446352204
oct2611147446523
9604868521560
10190213672275
117373a728350
1230a46210783
1314c24995203
1492c649d5ab
154e34221900
hex2c499e4d53

190213672275 has 96 divisors (see below), whose sum is σ = 382426237440. Its totient is φ = 91927152000.

The previous prime is 190213672267. The next prime is 190213672283. The reversal of 190213672275 is 572276312091.

It is a happy number.

190213672275 is a `hidden beast` number, since 19 + 0 + 2 + 1 + 367 + 2 + 275 = 666.

190213672275 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (190213672267) and next prime (190213672283).

It is not a de Polignac number, because 190213672275 - 23 = 190213672267 is a prime.

It is a super-2 number, since 2×1902136722752 (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 a self number, because there is not a number n which added to its sum of digits gives 190213672275.

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, 2267989 + ... + 2350361.

It is an arithmetic number, because the mean of its divisors is an integer number (3983606640).

Almost surely, 2190213672275 is an apocalyptic number.

190213672275 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

190213672275 is an abundant number, since it is smaller than the sum of its proper divisors (192212565165).

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

190213672275 is a wasteful number, since it uses less digits than its factorization.

190213672275 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82714 (or 82703 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 190213672275 in words is "one hundred ninety billion, two hundred thirteen million, six hundred seventy-two thousand, two hundred seventy-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 75 99 135 165 225 275 297 311 495 675 825 933 1485 1555 2475 2799 3421 4665 7425 7775 8397 10263 13995 17105 23325 30789 41985 51315 69975 82373 85525 92367 153945 209925 247119 256575 411865 461835 741357 769725 906103 1235595 2059325 2224071 2309175 2718309 3706785 4530515 6177975 8154927 11120355 13591545 18533925 22652575 24464781 25618003 40774635 55601775 67957725 76854009 122323905 128090015 203873175 230562027 281798033 384270045 611619525 640450075 691686081 845394099 1152810135 1408990165 1921350225 2536182297 3458430405 4226970495 5764050675 7044950825 7608546891 12680911485 17292152025 21134852475 38042734455 63404557425 190213672275