Search a number
-
+
108401611536 = 2432274372
BaseRepresentation
bin110010011110100111…
…1010101001100010000
3101100210200202102121100
41210331033111030100
53234001303032121
6121444330424400
710555202331531
oct1447517251420
9340720672540
10108401611536
1141a7797a209
1219013592100
13a2b730980a
145364bcc688
152c46b16026
hex193d3d5310

108401611536 has 45 divisors (see below), whose sum is σ = 303385012021. Its totient is φ = 36132553536.

The previous prime is 108401611453. The next prime is 108401611597. The reversal of 108401611536 is 635116104801.

It is a happy number.

The square root of 108401611536 is 329244.

It is a perfect power (a square), and thus also a powerful number.

108401611536 is a `hidden beast` number, since 1 + 0 + 8 + 4 + 0 + 1 + 611 + 5 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 57571203600 + 50830407936 = 239940^2 + 225456^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 108401611536.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3937210 + ... + 3964646.

Almost surely, 2108401611536 is an apocalyptic number.

108401611536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

108401611536 is the 329244-th square number.

It is an amenable number.

108401611536 is an abundant number, since it is smaller than the sum of its proper divisors (194983400485).

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

108401611536 is an frugal number, since it uses more digits than its factorization.

108401611536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54888 (or 27442 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

Multiplying 108401611536 by its sum of digits (36), we get a square (3902458015296 = 19754642).

108401611536 divided by its sum of digits (36) gives a square (3011155876 = 548742).

The spelling of 108401611536 in words is "one hundred eight billion, four hundred one million, six hundred eleven thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 27437 54874 82311 109748 164622 219496 246933 329244 438992 493866 658488 987732 1316976 1975464 3950928 752788969 1505577938 2258366907 3011155876 4516733814 6022311752 6775100721 9033467628 12044623504 13550201442 18066935256 27100402884 36133870512 54200805768 108401611536