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11478364664 = 2313192378263
BaseRepresentation
bin10101011000010100…
…11111000111111000
31002121221120100012012
422230022133013320
5142001430132124
65134553105052
7554305330004
oct125412370770
932557510165
1011478364664
114960268298
1222840b8188
13110c075b70
147ac633704
15472a81e0e
hex2ac29f1f8

11478364664 has 96 divisors (see below), whose sum is σ = 25125700320. Its totient is φ = 4882643712.

The previous prime is 11478364663. The next prime is 11478364687. The reversal of 11478364664 is 46646387411.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11478364663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1384997 + ... + 1393259.

It is an arithmetic number, because the mean of its divisors is an integer number (261726045).

Almost surely, 211478364664 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 11478364664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12562850160).

11478364664 is an abundant number, since it is smaller than the sum of its proper divisors (13647335656).

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

11478364664 is a wasteful number, since it uses less digits than its factorization.

11478364664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8357 (or 8334 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 50.

The spelling of 11478364664 in words is "eleven billion, four hundred seventy-eight million, three hundred sixty-four thousand, six hundred sixty-four".

Divisors: 1 2 4 8 13 19 26 37 38 52 74 76 104 148 152 247 296 361 481 494 703 722 962 988 1406 1444 1924 1976 2812 2888 3848 4693 5624 8263 9139 9386 13357 16526 18278 18772 26714 33052 36556 37544 53428 66104 73112 106856 107419 156997 173641 214838 305731 313994 347282 429676 611462 627988 694564 859352 1222924 1255976 1389128 2040961 2445848 2982943 3974503 4081922 5808889 5965886 7949006 8163844 11617778 11931772 15898012 16327688 23235556 23863544 31796024 38778259 46471112 75515557 77556518 110368891 151031114 155113036 220737782 302062228 310226072 441475564 604124456 882951128 1434795583 2869591166 5739182332 11478364664