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6342111216 = 243372097259
BaseRepresentation
bin1011110100000010…
…01110111111110000
3121100222210122001000
411322001032333300
5100442040024331
62525153242000
7313110025110
oct57201167760
917328718030
106342111216
112764a58031
12128bb63300
137a0c1c33c
14442425040
15271bb40e6
hex17a04eff0

6342111216 has 80 divisors (see below), whose sum is σ = 20804819200. Its totient is φ = 1812030912.

The previous prime is 6342111197. The next prime is 6342111227. The reversal of 6342111216 is 6121112436.

It is a happy number.

6342111216 is a `hidden beast` number, since 634 + 2 + 1 + 1 + 1 + 21 + 6 = 666.

It is a super-2 number, since 2×63421112162 = 80444749352225997312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a self number, because there is not a number n which added to its sum of digits gives 6342111216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1045606 + ... + 1051653.

It is an arithmetic number, because the mean of its divisors is an integer number (260060240).

Almost surely, 26342111216 is an apocalyptic number.

It is an amenable number.

6342111216 is an abundant number, since it is smaller than the sum of its proper divisors (14462707984).

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

6342111216 is a wasteful number, since it uses less digits than its factorization.

6342111216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2097283 (or 2097271 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 6342111216 is about 79637.3732364397. The cubic root of 6342111216 is about 1851.0207384809.

The spelling of 6342111216 in words is "six billion, three hundred forty-two million, one hundred eleven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 2097259 4194518 6291777 8389036 12583554 14680813 16778072 18875331 25167108 29361626 33556144 37750662 44042439 50334216 56625993 58723252 75501324 88084878 100668432 113251986 117446504 132127317 151002648 176169756 226503972 234893008 264254634 302005296 352339512 396381951 453007944 528509268 704679024 792763902 906015888 1057018536 1585527804 2114037072 3171055608 6342111216