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65212401672 = 233311181151637
BaseRepresentation
bin111100101110111101…
…100100100000001000
320020022202122020122000
4330232331210200020
52032023333323142
645542544031000
74466011161015
oct745675444010
9206282566560
1065212401672
1125724778640
121077b602460
1361c35c5b32
143228c4470c
151a6a16314c
hexf2ef64808

65212401672 has 128 divisors (see below), whose sum is σ = 198706435200. Its totient is φ = 19652025600.

The previous prime is 65212401671. The next prime is 65212401707. The reversal of 65212401672 is 27610421256.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (65212401671) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 354238 + ... + 505874.

It is an arithmetic number, because the mean of its divisors is an integer number (1552394025).

Almost surely, 265212401672 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 65212401672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99353217600).

65212401672 is an abundant number, since it is smaller than the sum of its proper divisors (133494033528).

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

65212401672 is a wasteful number, since it uses less digits than its factorization.

65212401672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151844 (or 151834 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 65212401672 in words is "sixty-five billion, two hundred twelve million, four hundred one thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 181 198 216 264 297 362 396 543 594 724 792 1086 1188 1448 1629 1991 2172 2376 3258 3982 4344 4887 5973 6516 7964 9774 11946 13032 15928 17919 19548 23892 35838 39096 47784 53757 71676 107514 143352 151637 215028 303274 430056 454911 606548 909822 1213096 1364733 1668007 1819644 2729466 3336014 3639288 4094199 5004021 5458932 6672028 8188398 10008042 10917864 13344056 15012063 16376796 20016084 27446297 30024126 32753592 40032168 45036189 54892594 60048252 82338891 90072378 109785188 120096504 164677782 180144756 219570376 247016673 301909267 329355564 360289512 494033346 603818534 658711128 741050019 905727801 988066692 1207637068 1482100038 1811455602 1976133384 2415274136 2717183403 2964200076 3622911204 5434366806 5928400152 7245822408 8151550209 10868733612 16303100418 21737467224 32606200836 65212401672