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10949218008 = 2331963138053
BaseRepresentation
bin10100011001001111…
…11100111011011000
31001021001212220102220
422030213330323120
5134410444434013
65010251424040
7535221550251
oct121447747330
931231786386
1010949218008
114709603603
122156a55020
131056557331
1475c251b28
154413acb23
hex28c9fced8

10949218008 has 64 divisors (see below), whose sum is σ = 28860153600. Its totient is φ = 3452077440.

The previous prime is 10949218001. The next prime is 10949218009. The reversal of 10949218008 is 80081294901.

It is a super-2 number, since 2×109492180082 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10949218001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 268710 + ... + 306762.

It is an arithmetic number, because the mean of its divisors is an integer number (450939900).

Almost surely, 210949218008 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 10949218008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14430076800).

10949218008 is an abundant number, since it is smaller than the sum of its proper divisors (17910935592).

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

10949218008 is a wasteful number, since it uses less digits than its factorization.

10949218008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38712 (or 38708 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 42.

The spelling of 10949218008 in words is "ten billion, nine hundred forty-nine million, two hundred eighteen thousand, eight".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 631 1262 1893 2524 3786 5048 7572 11989 15144 23978 35967 38053 47956 71934 76106 95912 114159 143868 152212 228318 287736 304424 456636 723007 913272 1446014 2169021 2892028 4338042 5784056 8676084 17352168 24011443 48022886 72034329 96045772 144068658 192091544 288137316 456217417 576274632 912434834 1368652251 1824869668 2737304502 3649739336 5474609004 10949218008