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10020189696 = 29311593051
BaseRepresentation
bin10010101010011111…
…11111011000000000
3221212022202101011220
421111033333120000
5131010132032241
64334143235040
7503211131016
oct112517773000
927768671156
1010020189696
114282154910
121b378a8a80
13c38c3903a
146b0ada8b6
153d9a4a166
hex2553ff600

10020189696 has 80 divisors (see below), whose sum is σ = 29121225408. Its totient is φ = 3036416000.

The previous prime is 10020189677. The next prime is 10020189701. The reversal of 10020189696 is 69698102001.

10020189696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 279630 + ... + 313421.

Almost surely, 210020189696 is an apocalyptic number.

10020189696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10020189696 is an abundant number, since it is smaller than the sum of its proper divisors (19101035712).

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

10020189696 is an equidigital number, since it uses as much as digits as its factorization.

10020189696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593083 (or 593067 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 42.

The spelling of 10020189696 in words is "ten billion, twenty million, one hundred eighty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1056 1408 1536 2112 2816 4224 5632 8448 16896 593051 1186102 1779153 2372204 3558306 4744408 6523561 7116612 9488816 13047122 14233224 18977632 19570683 26094244 28466448 37955264 39141366 52188488 56932896 75910528 78282732 104376976 113865792 151821056 156565464 208753952 227731584 303642112 313130928 417507904 455463168 626261856 835015808 910926336 1252523712 1670031616 2505047424 3340063232 5010094848 10020189696