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10000192828191 = 337412197361641
BaseRepresentation
bin1001000110000101100111…
…1100001111001100011111
31022102000020122001221101020
42101201121330033030133
52302320343331000231
633134005234015223
72051330046351516
oct221413174171437
938360218057336
1010000192828191
113206070168765
121156130417513
135770250a1347
142680249a567d
151251dbd32396
hex91859f0f31f

10000192828191 has 16 divisors (see below), whose sum is σ = 14027956722528. Its totient is φ = 6328401523200.

The previous prime is 10000192828169. The next prime is 10000192828217. The reversal of 10000192828191 is 19182829100001.

It is a happy number.

It is not a de Polignac number, because 10000192828191 - 25 = 10000192828159 is a prime.

It is a super-2 number, since 2×100001928281912 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000192823191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1098676270 + ... + 1098685371.

It is an arithmetic number, because the mean of its divisors is an integer number (876747295158).

Almost surely, 210000192828191 is an apocalyptic number.

10000192828191 is a deficient number, since it is larger than the sum of its proper divisors (4027763894337).

10000192828191 is a wasteful number, since it uses less digits than its factorization.

10000192828191 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2197361722.

The product of its (nonzero) digits is 20736, while the sum is 42.

The spelling of 10000192828191 in words is "ten trillion, one hundred ninety-two million, eight hundred twenty-eight thousand, one hundred ninety-one".

Divisors: 1 3 37 41 111 123 1517 4551 2197361641 6592084923 81302380717 90091827281 243907142151 270275481843 3333397609397 10000192828191