Search a number
-
+
65615505012 = 223223109372503
BaseRepresentation
bin111101000110111111…
…010010011001110100
320021100212011000110100
4331012333102121310
52033340032130022
650050543554100
74512004406301
oct750677223164
9207325130410
1065615505012
11259112730a2
12108725bb930
136258c82b15
1432665b60a8
151a9073b1ac
hexf46fd2674

65615505012 has 72 divisors (see below), whose sum is σ = 173233517184. Its totient is φ = 20901456576.

The previous prime is 65615505001. The next prime is 65615505017. The reversal of 65615505012 is 21050551656.

65615505012 is a `hidden beast` number, since 6 + 56 + 1 + 550 + 50 + 1 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65615505017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 868753 + ... + 941255.

It is an arithmetic number, because the mean of its divisors is an integer number (2406021072).

Almost surely, 265615505012 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 65615505012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86616758592).

65615505012 is an abundant number, since it is smaller than the sum of its proper divisors (107618012172).

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

65615505012 is a wasteful number, since it uses less digits than its factorization.

65615505012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73629 (or 73624 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 36.

The spelling of 65615505012 in words is "sixty-five billion, six hundred fifteen million, five hundred five thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 1093 2186 3279 4372 6558 9837 13116 19674 25139 39348 50278 72503 75417 100556 145006 150834 217509 226251 290012 301668 435018 452502 652527 870036 905004 1305054 1667569 2610108 3335138 5002707 6670276 10005414 15008121 20010828 30016242 60032484 79245779 158491558 237737337 316983116 475474674 713212011 950949348 1426424022 1822652917 2852848044 3645305834 5467958751 7290611668 10935917502 16403876253 21871835004 32807752506 65615505012