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118818816 = 211383233
BaseRepresentation
bin1110001010100…
…00100000000000
322021120121202220
413011100200000
5220404200231
615442411040
72641641354
oct705204000
9267517686
10118818816
1161085376
1233960a80
131b8023bc
1411acd464
15a670896
hex7150800

118818816 has 96 divisors (see below), whose sum is σ = 321965280. Its totient is φ = 38961152.

The previous prime is 118818811. The next prime is 118818839. The reversal of 118818816 is 618818811.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1188188162 = 28235822071283712, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (118818811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 509836 + ... + 510068.

It is an arithmetic number, because the mean of its divisors is an integer number (3353805).

Almost surely, 2118818816 is an apocalyptic number.

118818816 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 118818816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160982640).

118818816 is an abundant number, since it is smaller than the sum of its proper divisors (203146464).

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

118818816 is an equidigital number, since it uses as much as digits as its factorization.

118818816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 321 counting only the distinct ones).

The product of its digits is 24576, while the sum is 42.

The square root of 118818816 is about 10900.4043961681. The cubic root of 118818816 is about 491.6187144398.

The spelling of 118818816 in words is "one hundred eighteen million, eight hundred eighteen thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 96 128 166 192 233 249 256 332 384 466 498 512 664 699 768 932 996 1024 1328 1398 1536 1864 1992 2048 2656 2796 3072 3728 3984 5312 5592 6144 7456 7968 10624 11184 14912 15936 19339 21248 22368 29824 31872 38678 42496 44736 58017 59648 63744 77356 84992 89472 116034 119296 127488 154712 169984 178944 232068 238592 254976 309424 357888 464136 477184 509952 618848 715776 928272 1237696 1431552 1856544 2475392 3713088 4950784 7426176 9901568 14852352 19803136 29704704 39606272 59409408 118818816