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10245734664 = 2331140994889
BaseRepresentation
bin10011000101011000…
…11000000100001000
3222110001011020201020
421202230120010020
5131440402002124
64412401352440
7511620210354
oct114254300410
928401136636
1010245734664
1143884a5110
121b9b338720
13c738985b9
146d2a4c464
153ee74d379
hex262b18108

10245734664 has 64 divisors (see below), whose sum is σ = 28011528000. Its totient is φ = 3097144320.

The previous prime is 10245734663. The next prime is 10245734683. The reversal of 10245734664 is 46643754201.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10245734663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60532 + ... + 155420.

It is an arithmetic number, because the mean of its divisors is an integer number (437680125).

Almost surely, 210245734664 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 10245734664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14005764000).

10245734664 is an abundant number, since it is smaller than the sum of its proper divisors (17765793336).

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

10245734664 is a wasteful number, since it uses less digits than its factorization.

10245734664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95318 (or 95314 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The spelling of 10245734664 in words is "ten billion, two hundred forty-five million, seven hundred thirty-four thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 409 818 1227 1636 2454 3272 4499 4908 8998 9816 13497 17996 26994 35992 53988 94889 107976 189778 284667 379556 569334 759112 1043779 1138668 2087558 2277336 3131337 4175116 6262674 8350232 12525348 25050696 38809601 77619202 116428803 155238404 232857606 310476808 426905611 465715212 853811222 931430424 1280716833 1707622444 2561433666 3415244888 5122867332 10245734664