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6415380835146 = 233188962892191
BaseRepresentation
bin101110101011011001001…
…1111101110101101001010
3211201022012220212022012000
41131112302133232231022
51320102144443211041
621351104003531430
71231332055233153
oct135266237565512
924638186768160
106415380835146
112053825261958
12877416089b76
13376c773a850a
141827129cc92a
15b1d2ad20bb6
hex5d5b27eeb4a

6415380835146 has 32 divisors (see below), whose sum is σ = 14263949145600. Its totient is φ = 2137328184960.

The previous prime is 6415380835133. The next prime is 6415380835147.

It is a happy number.

6415380835146 is a `hidden beast` number, since 6 + 4 + 15 + 38 + 0 + 83 + 514 + 6 = 666.

6415380835146 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×64153808351462 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 6415380835092 and 6415380835101.

It is not an unprimeable number, because it can be changed into a prime (6415380835147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31344090 + ... + 31548101.

It is an arithmetic number, because the mean of its divisors is an integer number (445748410800).

Almost surely, 26415380835146 is an apocalyptic number.

6415380835146 is an abundant number, since it is smaller than the sum of its proper divisors (7848568310454).

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

6415380835146 is a wasteful number, since it uses less digits than its factorization.

6415380835146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62894091 (or 62894085 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 6415380835146 in words is "six trillion, four hundred fifteen billion, three hundred eighty million, eight hundred thirty-five thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 27 54 1889 3778 5667 11334 17001 34002 51003 102006 62892191 125784382 188676573 377353146 566029719 1132059438 1698089157 3396178314 118803348799 237606697598 356410046397 712820092794 1069230139191 2138460278382 3207690417573 6415380835146