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10481967008 = 2523314331061
BaseRepresentation
bin10011100001100011…
…00001111110100000
31000001111200002120022
421300301201332200
5132431340421013
64452040533012
7520516151402
oct116061417640
930044602508
1010481967008
114499884a57
122046481168
13cb07ca556
14716182b72
15415363008
hex270c61fa0

10481967008 has 96 divisors (see below), whose sum is σ = 22300572672. Its totient is φ = 4835635200.

The previous prime is 10481966969. The next prime is 10481967011. The reversal of 10481967008 is 80076918401.

It is a self number, because there is not a number n which added to its sum of digits gives 10481967008.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9878798 + ... + 9879858.

It is an arithmetic number, because the mean of its divisors is an integer number (232297632).

Almost surely, 210481967008 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 10481967008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11150286336).

10481967008 is an abundant number, since it is smaller than the sum of its proper divisors (11818605664).

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

10481967008 is a wasteful number, since it uses less digits than its factorization.

10481967008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1558 (or 1550 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 44.

The spelling of 10481967008 in words is "ten billion, four hundred eighty-one million, nine hundred sixty-seven thousand, eight".

Divisors: 1 2 4 8 16 23 31 32 46 62 92 124 184 248 368 433 496 713 736 866 992 1061 1426 1732 2122 2852 3464 4244 5704 6928 8488 9959 11408 13423 13856 16976 19918 22816 24403 26846 32891 33952 39836 48806 53692 65782 79672 97612 107384 131564 159344 195224 214768 263128 308729 318688 390448 429536 459413 526256 617458 756493 780896 918826 1052512 1234916 1512986 1837652 2469832 3025972 3675304 4939664 6051944 7350608 9879328 10566499 12103888 14241803 14701216 21132998 24207776 28483606 42265996 56967212 84531992 113934424 169063984 227868848 327561469 338127968 455737696 655122938 1310245876 2620491752 5240983504 10481967008