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6113736540 = 2232533965203
BaseRepresentation
bin1011011000110100…
…00011011101011100
3120210002001222212200
411230122003131130
5100010104032130
62450354331500
7304334621532
oct55432033534
916702058780
106113736540
11265805482a
121227589b90
1376580bab2
1441dd78152
1525bb02760
hex16c68375c

6113736540 has 36 divisors (see below), whose sum is σ = 18545001384. Its totient is φ = 1630329696.

The previous prime is 6113736511. The next prime is 6113736553. The reversal of 6113736540 is 456373116.

6113736540 is a `hidden beast` number, since 611 + 3 + 7 + 36 + 5 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 6113736495 and 6113736504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16982422 + ... + 16982781.

Almost surely, 26113736540 is an apocalyptic number.

6113736540 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6113736540 is an abundant number, since it is smaller than the sum of its proper divisors (12431264844).

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

6113736540 is a wasteful number, since it uses less digits than its factorization.

6113736540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33965218 (or 33965213 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 6113736540 is about 78190.3864934814. The cubic root of 6113736540 is about 1828.5306309548.

The spelling of 6113736540 in words is "six billion, one hundred thirteen million, seven hundred thirty-six thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 33965203 67930406 101895609 135860812 169826015 203791218 305686827 339652030 407582436 509478045 611373654 679304060 1018956090 1222747308 1528434135 2037912180 3056868270 6113736540