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11638618068 = 22371183915013
BaseRepresentation
bin10101101011011011…
…10011011111010100
31010001010010001112110
422311231303133110
5142313441234233
65202515551020
7561262423050
oct126555633724
933033101473
1011638618068
114a32773020
1223098bb470
131136324a6c
147c5a2ac60
15481b89663
hex2b5b737d4

11638618068 has 96 divisors (see below), whose sum is σ = 33900410880. Its totient is φ = 3019213440.

The previous prime is 11638618031. The next prime is 11638618073. The reversal of 11638618068 is 86081683611.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 767730 + ... + 782742.

It is an arithmetic number, because the mean of its divisors is an integer number (353129280).

Almost surely, 211638618068 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 11638618068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16950205440).

11638618068 is an abundant number, since it is smaller than the sum of its proper divisors (22261792812).

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

11638618068 is a wasteful number, since it uses less digits than its factorization.

11638618068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15877 (or 15875 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 48.

The spelling of 11638618068 in words is "eleven billion, six hundred thirty-eight million, six hundred eighteen thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 839 924 1678 2517 3356 5034 5873 9229 10068 11746 15013 17619 18458 23492 27687 30026 35238 36916 45039 55374 60052 64603 70476 90078 105091 110748 129206 165143 180156 193809 210182 258412 315273 330286 387618 420364 495429 630546 660572 775236 990858 1156001 1261092 1981716 2312002 3468003 4624004 6936006 12595907 13872012 25191814 37787721 50383628 75575442 88171349 138554977 151150884 176342698 264514047 277109954 352685396 415664931 529028094 554219908 831329862 969884839 1058056188 1662659724 1939769678 2909654517 3879539356 5819309034 11638618068