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111866829872 = 24721956313339
BaseRepresentation
bin110100000101111001…
…0000101110000110000
3101200202012011202112012
41220023302011300300
53313100402023442
6123220234222052
711040110236100
oct1501362056060
9350665152465
10111866829872
1143495a00016
121981bb84928
13a71a1b8875
1455b30d5200
152d9ae52582
hex1a0bc85c30

111866829872 has 120 divisors (see below), whose sum is σ = 265889678400. Its totient is φ = 45335541888.

The previous prime is 111866829827. The next prime is 111866829887. The reversal of 111866829872 is 278928668111.

111866829872 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1118668298722 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8379779 + ... + 8393117.

It is an arithmetic number, because the mean of its divisors is an integer number (2215747320).

Almost surely, 2111866829872 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 111866829872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132944839200).

111866829872 is an abundant number, since it is smaller than the sum of its proper divisors (154022848528).

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

111866829872 is a wasteful number, since it uses less digits than its factorization.

111866829872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13943 (or 13930 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 59.

The spelling of 111866829872 in words is "one hundred eleven billion, eight hundred sixty-six million, eight hundred twenty-nine thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 19 28 38 49 56 76 98 112 133 152 196 266 304 392 532 563 784 931 1064 1126 1862 2128 2252 3724 3941 4504 7448 7882 9008 10697 13339 14896 15764 21394 26678 27587 31528 42788 53356 55174 63056 74879 85576 93373 106712 110348 149758 171152 186746 213424 220696 253441 299516 373492 441392 506882 524153 599032 653611 746984 1013764 1048306 1198064 1307222 1493968 1774087 2027528 2096612 2614444 3548174 4055056 4193224 5228888 7096348 7509857 8386448 10457776 12418609 14192696 15019714 24837218 28385392 30039428 49674436 52568999 60078856 99348872 105137998 120157712 142687283 198697744 210275996 285374566 367982993 420551992 570749132 735965986 841103984 998810981 1141498264 1471931972 1997621962 2282996528 2943863944 3995243924 5887727888 6991676867 7990487848 13983353734 15980975696 27966707468 55933414936 111866829872