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11464320616 = 2374138313037
BaseRepresentation
bin10101010110101001…
…11010011001101000
31002120222010211101021
422223110322121220
5141434331224431
65133332102224
7554045055160
oct125324723150
932528124337
1011464320616
114953345841
12227b464974
131109199688
147aa8195a0
1547170ab11
hex2ab53a668

11464320616 has 64 divisors (see below), whose sum is σ = 25233223680. Its totient is φ = 4780561920.

The previous prime is 11464320613. The next prime is 11464320619. The reversal of 11464320616 is 61602346411.

11464320616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11464320613) and next prime (11464320619).

It is not an unprimeable number, because it can be changed into a prime (11464320613) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 872850 + ... + 885886.

It is an arithmetic number, because the mean of its divisors is an integer number (394269120).

Almost surely, 211464320616 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 11464320616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12616611840).

11464320616 is an abundant number, since it is smaller than the sum of its proper divisors (13768903064).

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

11464320616 is a wasteful number, since it uses less digits than its factorization.

11464320616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13474 (or 13470 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The spelling of 11464320616 in words is "eleven billion, four hundred sixty-four million, three hundred twenty thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 14 28 41 56 82 164 287 328 383 574 766 1148 1532 2296 2681 3064 5362 10724 13037 15703 21448 26074 31406 52148 62812 91259 104296 109921 125624 182518 219842 365036 439684 534517 730072 879368 1069034 2138068 3741619 4276136 4993171 7483238 9986342 14966476 19972684 29932952 34952197 39945368 69904394 139808788 204720011 279617576 409440022 818880044 1433040077 1637760088 2866080154 5732160308 11464320616