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11292897664 = 278310312
BaseRepresentation
bin10101000010001101…
…11111000110000000
31002011000120122022001
422201012333012000
5141111440211124
65104325553344
7546564021616
oct124106770600
932130518261
1011292897664
114875601184
122231b75854
1310ac809789
14791b556b6
15461648b44
hex2a11bf180

11292897664 has 48 divisors (see below), whose sum is σ = 22790730060. Its totient is φ = 5573008640.

The previous prime is 11292897647. The next prime is 11292897667. The reversal of 11292897664 is 46679829211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11292897667) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10952829 + ... + 10953859.

Almost surely, 211292897664 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 11292897664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11395365030).

11292897664 is an abundant number, since it is smaller than the sum of its proper divisors (11497832396).

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

11292897664 is an frugal number, since it uses more digits than its factorization.

11292897664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2159 (or 1116 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 55.

The spelling of 11292897664 in words is "eleven billion, two hundred ninety-two million, eight hundred ninety-seven thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 83 128 166 332 664 1031 1328 2062 2656 4124 5312 8248 10624 16496 32992 65984 85573 131968 171146 342292 684584 1062961 1369168 2125922 2738336 4251844 5476672 8503688 10953344 17007376 34014752 68029504 88225763 136059008 176451526 352903052 705806104 1411612208 2823224416 5646448832 11292897664