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11260006304 = 251722791183
BaseRepresentation
bin10100111110010011…
…00000111110100000
31002001201200120211112
422133021200332200
5141030030200204
65101153002452
7546014321501
oct123711407640
932051616745
1011260006304
114858a86438
122222b53428
1310a5a61731
1478b632ba8
1545d7ed26e
hex29f260fa0

11260006304 has 48 divisors (see below), whose sum is σ = 23575805568. Its totient is φ = 5275425792.

The previous prime is 11260006301. The next prime is 11260006313. The reversal of 11260006304 is 40360006211.

It is a happy number.

It is a super-2 number, since 2×112600063042 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11260006304.

It is not an unprimeable number, because it can be changed into a prime (11260006301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77897 + ... + 169079.

It is an arithmetic number, because the mean of its divisors is an integer number (491162616).

Almost surely, 211260006304 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 11260006304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11787902784).

11260006304 is an abundant number, since it is smaller than the sum of its proper divisors (12315799264).

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

11260006304 is a wasteful number, since it uses less digits than its factorization.

11260006304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91437 (or 91429 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The spelling of 11260006304 in words is "eleven billion, two hundred sixty million, six thousand, three hundred four".

Divisors: 1 2 4 8 16 17 32 34 68 136 227 272 454 544 908 1816 3632 3859 7264 7718 15436 30872 61744 91183 123488 182366 364732 729464 1458928 1550111 2917856 3100222 6200444 12400888 20698541 24801776 41397082 49603552 82794164 165588328 331176656 351875197 662353312 703750394 1407500788 2815001576 5630003152 11260006304