Search a number
-
+
65049481026432 = 2734719731394649
BaseRepresentation
bin11101100101001100000110…
…01101011001101110000000
322112022200002011210020010000
432302212003031121232000
532011232314120321212
6350203152525040000
716462445531454060
oct1662460315315600
9275280064706100
1065049481026432
11197aa36a226141
1273670376b6000
132a3b1a8016206
14120c5a99193a0
1577c1463041dc
hex3b2983359b80

65049481026432 has 1280 divisors, whose sum is σ = 237825403200000. Its totient is φ = 17237536210944.

The previous prime is 65049481026389. The next prime is 65049481026503. The reversal of 65049481026432 is 23462018494056.

65049481026432 is a `hidden beast` number, since 6 + 5 + 0 + 494 + 8 + 102 + 6 + 43 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 13992142444 + ... + 13992147092.

It is an arithmetic number, because the mean of its divisors is an integer number (185801096250).

Almost surely, 265049481026432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65049481026432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118912701600000).

65049481026432 is an abundant number, since it is smaller than the sum of its proper divisors (172775922173568).

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

65049481026432 is a wasteful number, since it uses less digits than its factorization.

65049481026432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4913 (or 4892 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 65049481026432 in words is "sixty-five trillion, forty-nine billion, four hundred eighty-one million, twenty-six thousand, four hundred thirty-two".