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10290664494 = 23311210914449
BaseRepresentation
bin10011001010101111…
…10001010000101110
3222120011200220212000
421211113301100232
5132033402230434
64421044353130
7513004130205
oct114527612056
928504626760
1010290664494
1144008a2600
121bb23a57a6
13c7cc99cb6
146d89c623c
15403675b99
hex2655f142e

10290664494 has 96 divisors (see below), whose sum is σ = 25368420000. Its totient is φ = 3089560320.

The previous prime is 10290664487. The next prime is 10290664547. The reversal of 10290664494 is 49446609201.

10290664494 is a `hidden beast` number, since 10 + 2 + 90 + 6 + 64 + 494 = 666.

10290664494 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 47 ways as a sum of consecutive naturals, for example, 704982 + ... + 719430.

It is an arithmetic number, because the mean of its divisors is an integer number (264254375).

Almost surely, 210290664494 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10290664494, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12684210000).

10290664494 is an abundant number, since it is smaller than the sum of its proper divisors (15077755506).

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

10290664494 is a wasteful number, since it uses less digits than its factorization.

10290664494 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14591 (or 14574 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 10290664494 in words is "ten billion, two hundred ninety million, six hundred sixty-four thousand, four hundred ninety-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 109 121 198 218 242 297 327 363 594 654 726 981 1089 1199 1962 2178 2398 2943 3267 3597 5886 6534 7194 10791 13189 14449 21582 26378 28898 32373 39567 43347 64746 79134 86694 118701 130041 158939 237402 260082 317878 356103 390123 476817 712206 780246 953634 1430451 1574941 1748329 2860902 3149882 3496658 4291353 4724823 5244987 8582706 9449646 10489974 14174469 15734961 17324351 28348938 31469922 34648702 42523407 47204883 51973053 85046814 94409766 103946106 155919159 190567861 311838318 381135722 467757477 571703583 935514954 1143407166 1715110749 3430221498 5145332247 10290664494