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10066688823 = 310831309811
BaseRepresentation
bin10010110000000010…
…10111101100110111
3221222120020202222210
421120001113230313
5131104033020243
64342524024503
7504314305002
oct113001275467
927876222883
1010066688823
1142a6424344
121b4b392133
13c45769b09
146b6d62539
153ddb82933
hex258057b37

10066688823 has 8 divisors (see below), whose sum is σ = 13423534336. Its totient is φ = 6710484600.

The previous prime is 10066688773. The next prime is 10066688837. The reversal of 10066688823 is 32888666001.

10066688823 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10066688823 - 230 = 8992946999 is a prime.

It is a super-2 number, since 2×100666888232 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10066668823) by changing a digit.

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, 122413 + ... + 187398.

It is an arithmetic number, because the mean of its divisors is an integer number (1677941792).

Almost surely, 210066688823 is an apocalyptic number.

10066688823 is a deficient number, since it is larger than the sum of its proper divisors (3356845513).

10066688823 is a wasteful number, since it uses less digits than its factorization.

10066688823 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320645.

The product of its (nonzero) digits is 663552, while the sum is 48.

The spelling of 10066688823 in words is "ten billion, sixty-six million, six hundred eighty-eight thousand, eight hundred twenty-three".

Divisors: 1 3 10831 32493 309811 929433 3355562941 10066688823