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111845941920 = 25325233376991
BaseRepresentation
bin110100000101010001…
…0011010001010100000
3101200200201212112122100
41220022202122022200
53313030030120140
6123214210410400
711036434551216
oct1501242321240
9350621775570
10111845941920
1143485133649
1219814b90a00
13a715a8422b
1455b0418cb6
152d991c8530
hex1a0a89a2a0

111845941920 has 144 divisors (see below), whose sum is σ = 398268928512. Its totient is φ = 28528811520.

The previous prime is 111845941919. The next prime is 111845941957. The reversal of 111845941920 is 29149548111.

It is a happy number.

111845941920 is a `hidden beast` number, since 1 + 1 + 1 + 8 + 459 + 4 + 192 + 0 = 666.

111845941920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1655376 + ... + 1721615.

It is an arithmetic number, because the mean of its divisors is an integer number (2765756448).

Almost surely, 2111845941920 is an apocalyptic number.

111845941920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111845941920 is an abundant number, since it is smaller than the sum of its proper divisors (286422986592).

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

111845941920 is a wasteful number, since it uses less digits than its factorization.

111845941920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3377035 (or 3377024 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The spelling of 111845941920 in words is "one hundred eleven billion, eight hundred forty-five million, nine hundred forty-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 30 32 36 40 45 46 48 60 69 72 80 90 92 96 115 120 138 144 160 180 184 207 230 240 276 288 345 360 368 414 460 480 552 690 720 736 828 920 1035 1104 1380 1440 1656 1840 2070 2208 2760 3312 3680 4140 5520 6624 8280 11040 16560 33120 3376991 6753982 10130973 13507964 16884955 20261946 27015928 30392919 33769910 40523892 50654865 54031856 60785838 67539820 77670793 81047784 101309730 108063712 121571676 135079640 151964595 155341586 162095568 202619460 233012379 243143352 270159280 303929190 310683172 324191136 388353965 405238920 466024758 486286704 540318560 607858380 621366344 699037137 776707930 810477840 932049516 972573408 1165061895 1215716760 1242732688 1398074274 1553415860 1620955680 1864099032 2330123790 2431433520 2485465376 2796148548 3106831720 3495185685 3728198064 4660247580 4862867040 5592297096 6213663440 6990371370 7456396128 9320495160 11184594192 12427326880 13980742740 18640990320 22369188384 27961485480 37281980640 55922970960 111845941920