Search a number
-
+
64246615056 = 243213131261983
BaseRepresentation
bin111011110101011001…
…011000110000010000
320010211110100012110100
4323311121120300100
52023034113140211
645303043532400
74433043134421
oct736531306020
9203743305410
1064246615056
11252795a2888
121055008a100
13609b4a7670
143176881648
151a1048e156
hexef5658c10

64246615056 has 120 divisors (see below), whose sum is σ = 195111012096. Its totient is φ = 19617212160.

The previous prime is 64246615039. The next prime is 64246615117. The reversal of 64246615056 is 65051664246.

64246615056 is a `hidden beast` number, since 6 + 4 + 24 + 6 + 615 + 0 + 5 + 6 = 666.

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 23 ways as a sum of consecutive naturals, for example, 114241 + ... + 376223.

Almost surely, 264246615056 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 64246615056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97555506048).

64246615056 is an abundant number, since it is smaller than the sum of its proper divisors (130864397040).

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

64246615056 is a wasteful number, since it uses less digits than its factorization.

64246615056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262141 (or 262132 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 64246615056 in words is "sixty-four billion, two hundred forty-six million, six hundred fifteen thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 131 144 156 208 234 262 312 393 468 524 624 786 936 1048 1179 1572 1703 1872 2096 2358 3144 3406 4716 5109 6288 6812 9432 10218 13624 15327 18864 20436 27248 30654 40872 61308 81744 122616 245232 261983 523966 785949 1047932 1571898 2095864 2357847 3143796 3405779 4191728 4715694 6287592 6811558 9431388 10217337 12575184 13623116 18862776 20434674 27246232 30652011 34319773 37725552 40869348 54492464 61304022 68639546 81738696 102959319 122608044 137279092 163477392 205918638 245216088 274558184 308877957 411837276 446157049 490432176 549116368 617755914 823674552 892314098 1235511828 1338471147 1647349104 1784628196 2471023656 2676942294 3569256392 4015413441 4942047312 5353884588 7138512784 8030826882 10707769176 16061653764 21415538352 32123307528 64246615056