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10023326664 = 233131271311931
BaseRepresentation
bin10010101010110111…
…11101001111001000
3221212112122202021220
421111123331033020
5131011432423124
64334334402040
7503246604501
oct112533751710
927775582256
1010023326664
1142839a774a
121b38960320
13c39796b30
146b12b5ba8
153d9e69879
hex2556fd3c8

10023326664 has 128 divisors (see below), whose sum is σ = 27420180480. Its totient is φ = 3034886400.

The previous prime is 10023326623. The next prime is 10023326683. The reversal of 10023326664 is 46662332001.

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 31 ways as a sum of consecutive naturals, for example, 5189779 + ... + 5191709.

It is an arithmetic number, because the mean of its divisors is an integer number (214220160).

Almost surely, 210023326664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10023326664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13710090240).

10023326664 is an abundant number, since it is smaller than the sum of its proper divisors (17396853816).

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

10023326664 is a wasteful number, since it uses less digits than its factorization.

10023326664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2211 (or 2207 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

Adding to 10023326664 its reverse (46662332001), we get a palindrome (56685658665).

The spelling of 10023326664 in words is "ten billion, twenty-three million, three hundred twenty-six thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 127 131 156 254 262 312 381 393 508 524 762 786 1016 1048 1524 1572 1651 1703 1931 3048 3144 3302 3406 3862 4953 5109 5793 6604 6812 7724 9906 10218 11586 13208 13624 15448 16637 19812 20436 23172 25103 33274 39624 40872 46344 49911 50206 66548 75309 99822 100412 133096 150618 199644 200824 216281 245237 252961 301236 399288 432562 490474 505922 602472 648843 735711 758883 865124 980948 1011844 1297686 1471422 1517766 1730248 1961896 2023688 2595372 2942844 3035532 3188081 3288493 5190744 5885688 6071064 6376162 6576986 9564243 9865479 12752324 13153972 19128486 19730958 25504648 26307944 32126047 38256972 39461916 64252094 76513944 78923832 96378141 128504188 192756282 257008376 385512564 417638611 771025128 835277222 1252915833 1670554444 2505831666 3341108888 5011663332 10023326664