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64072011648 = 273298236991
BaseRepresentation
bin111011101010111111…
…010100111110000000
320010101021210102121110
4323222333110332000
52022204413333043
645233445323320
74425523053531
oct735277247600
9203337712543
1064072011648
1125199a86747
1210501706540
136071272c38
14315b5d0688
1519eee9eb33
hexeeafd4f80

64072011648 has 128 divisors (see below), whose sum is σ = 176299084800. Its totient is φ = 20592875520.

The previous prime is 64072011617. The next prime is 64072011719. The reversal of 64072011648 is 84611027046.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9161433 + ... + 9168423.

It is an arithmetic number, because the mean of its divisors is an integer number (1377336600).

Almost surely, 264072011648 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 64072011648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88149542400).

64072011648 is an abundant number, since it is smaller than the sum of its proper divisors (112227073152).

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

64072011648 is a wasteful number, since it uses less digits than its factorization.

64072011648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7860 (or 7848 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 64072011648 in words is "sixty-four billion, seventy-two million, eleven thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 348 384 464 696 823 928 1392 1646 1856 2469 2784 3292 3712 4938 5568 6584 6991 9876 11136 13168 13982 19752 20973 23867 26336 27964 39504 41946 47734 52672 55928 71601 79008 83892 95468 105344 111856 143202 158016 167784 190936 202739 223712 286404 316032 335568 381872 405478 447424 572808 608217 671136 763744 810956 894848 1145616 1216434 1342272 1527488 1621912 2291232 2432868 2684544 3054976 3243824 4582464 4865736 5753593 6487648 9164928 9731472 11507186 12975296 17260779 19462944 23014372 25950592 34521558 38925888 46028744 69043116 77851776 92057488 138086232 166854197 184114976 276172464 333708394 368229952 500562591 552344928 667416788 736459904 1001125182 1104689856 1334833576 2002250364 2209379712 2669667152 4004500728 5339334304 8009001456 10678668608 16018002912 21357337216 32036005824 64072011648