Search a number
-
+
110993988672 = 2632727528271
BaseRepresentation
bin110011101011111000…
…0011101110001000000
3101121111100202211111100
41213113300131301000
53304303430114142
6122553454214400
711006351223420
oct1472760356100
9347440684440
10110993988672
1143088238556
12196177b4400
13a60b410b98
14552d208480
152d494dcb4c
hex19d7c1dc40

110993988672 has 84 divisors (see below), whose sum is σ = 363593416576. Its totient is φ = 31712567040.

The previous prime is 110993988661. The next prime is 110993988673. The reversal of 110993988672 is 276889399011.

110993988672 is a `hidden beast` number, since 1 + 10 + 99 + 398 + 86 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (110993988673) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13760104 + ... + 13768167.

Almost surely, 2110993988672 is an apocalyptic number.

110993988672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

110993988672 is an abundant number, since it is smaller than the sum of its proper divisors (252599427904).

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

110993988672 is a wasteful number, since it uses less digits than its factorization.

110993988672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27528296 (or 27528283 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 63.

The spelling of 110993988672 in words is "one hundred ten billion, nine hundred ninety-three million, nine hundred eighty-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 27528271 55056542 82584813 110113084 165169626 192697897 220226168 247754439 330339252 385395794 440452336 495508878 578093691 660678504 770791588 880904672 991017756 1156187382 1321357008 1541583176 1734281073 1761809344 1982035512 2312374764 2642714016 3083166352 3468562146 3964071024 4624749528 5285428032 6166332704 6937124292 7928142048 9249499056 12332665408 13874248584 15856284096 18498998112 27748497168 36997996224 55496994336 110993988672