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11104821168 = 2437194094253
BaseRepresentation
bin10100101011110011…
…00001111110110000
31001122220200100211220
422111321201332300
5140220313234133
65033530505040
7542121264630
oct122571417660
931586610756
1011104821168
114789422561
12219ab95180
13107c8686cc
14774b986c0
1544ed975b3
hex295e61fb0

11104821168 has 160 divisors (see below), whose sum is σ = 34603737600. Its totient is φ = 2997762048.

The previous prime is 11104821163. The next prime is 11104821173. The reversal of 11104821168 is 86112840111.

It is an interprime number because it is at equal distance from previous prime (11104821163) and next prime (11104821173).

It is not an unprimeable number, because it can be changed into a prime (11104821163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2608930 + ... + 2613182.

It is an arithmetic number, because the mean of its divisors is an integer number (216273360).

Almost surely, 211104821168 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 11104821168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17301868800).

11104821168 is an abundant number, since it is smaller than the sum of its proper divisors (23498916432).

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

11104821168 is a wasteful number, since it uses less digits than its factorization.

11104821168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4699 (or 4693 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 33.

The spelling of 11104821168 in words is "eleven billion, one hundred four million, eight hundred twenty-one thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 228 266 304 336 399 409 456 532 798 818 912 1064 1227 1596 1636 2128 2454 2863 3192 3272 4253 4908 5726 6384 6544 7771 8506 8589 9816 11452 12759 15542 17012 17178 19632 22904 23313 25518 29771 31084 34024 34356 45808 46626 51036 54397 59542 62168 68048 68712 80807 89313 93252 102072 108794 119084 124336 137424 161614 163191 178626 186504 204144 217588 238168 242421 323228 326382 357252 373008 435176 476336 484842 565649 646456 652764 714504 870352 969684 1131298 1292912 1305528 1429008 1696947 1739477 1939368 2262596 2611056 3393894 3478954 3878736 4525192 5218431 6787788 6957908 9050384 10436862 12176339 13575576 13915816 20873724 24352678 27151152 27831632 33050063 36529017 41747448 48705356 66100126 73058034 83494896 97410712 99150189 132200252 146116068 194821424 198300378 231350441 264400504 292232136 396600756 462700882 528801008 584464272 694051323 793201512 925401764 1388102646 1586403024 1850803528 2776205292 3701607056 5552410584 11104821168