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11244766416 = 24313174792213
BaseRepresentation
bin10100111100011110…
…11000010011010000
31002000200000022122020
422132033120103100
5141012130011131
65055450211440
7545440636362
oct123617302320
932020008566
1011244766416
114850417494
122219a23b80
1310a2856b50
147895c6d32
1545c2dc996
hex29e3d84d0

11244766416 has 160 divisors (see below), whose sum is σ = 33207874560. Its totient is φ = 3248136192.

The previous prime is 11244766387. The next prime is 11244766469. The reversal of 11244766416 is 61466744211.

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, 5080126 + ... + 5082338.

It is an arithmetic number, because the mean of its divisors is an integer number (207549216).

Almost surely, 211244766416 is an apocalyptic number.

11244766416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11244766416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16603937280).

11244766416 is an abundant number, since it is smaller than the sum of its proper divisors (21963108144).

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

11244766416 is a wasteful number, since it uses less digits than its factorization.

11244766416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2733 (or 2727 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The spelling of 11244766416 in words is "eleven billion, two hundred forty-four million, seven hundred sixty-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 34 39 48 51 52 68 78 102 104 136 156 204 208 221 272 312 408 442 479 624 663 816 884 958 1326 1437 1768 1916 2213 2652 2874 3536 3832 4426 5304 5748 6227 6639 7664 8143 8852 10608 11496 12454 13278 16286 17704 18681 22992 24429 24908 26556 28769 32572 35408 37362 37621 48858 49816 53112 57538 65144 74724 75242 86307 97716 99632 105859 106224 112863 115076 130288 149448 150484 172614 195432 211718 225726 230152 298896 300968 317577 345228 390864 423436 451452 460304 489073 601936 635154 690456 846872 902904 978146 1060027 1270308 1380912 1467219 1693744 1805808 1956292 2120054 2540616 2934438 3180081 3912584 4240108 5081232 5868876 6360162 7825168 8480216 11737752 12720324 13780351 16960432 18020459 23475504 25440648 27560702 36040918 41341053 50881296 54061377 55121404 72081836 82682106 108122754 110242808 144163672 165364212 216245508 220485616 234265967 288327344 330728424 432491016 468531934 661456848 702797901 864982032 937063868 1405595802 1874127736 2811191604 3748255472 5622383208 11244766416