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64738787328 = 2153424391
BaseRepresentation
bin111100010010101110…
…111000000000000000
320012002202110010220000
4330102232320000000
52030041112143303
645423544520000
74451200420125
oct742256700000
9205082403800
1064738787328
11255013a3126
1210668a80000
13614944b867
1431c1d9a74c
151a3d7acda3
hexf12bb8000

64738787328 has 160 divisors (see below), whose sum is σ = 193422096120. Its totient is φ = 21578711040.

The previous prime is 64738787297. The next prime is 64738787369. The reversal of 64738787328 is 82378783746.

64738787328 is a `hidden beast` number, since 6 + 473 + 8 + 78 + 73 + 28 = 666.

It is a super-2 number, since 2×647387873282 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2642013 + ... + 2666403.

Almost surely, 264738787328 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 64738787328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96711048060).

64738787328 is an abundant number, since it is smaller than the sum of its proper divisors (128683308792).

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

64738787328 is an frugal number, since it uses more digits than its factorization.

64738787328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24433 (or 24396 counting only the distinct ones).

The product of its digits is 75866112, while the sum is 63.

The spelling of 64738787328 in words is "sixty-four billion, seven hundred thirty-eight million, seven hundred eighty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1296 1536 1728 2048 2304 2592 3072 3456 4096 4608 5184 6144 6912 8192 9216 10368 12288 13824 16384 18432 20736 24391 24576 27648 32768 36864 41472 48782 49152 55296 73173 73728 82944 97564 98304 110592 146346 147456 165888 195128 219519 221184 292692 294912 331776 390256 439038 442368 585384 658557 663552 780512 878076 884736 1170768 1317114 1327104 1561024 1756152 1975671 2341536 2634228 2654208 3122048 3512304 3951342 4683072 5268456 6244096 7024608 7902684 9366144 10536912 12488192 14049216 15805368 18732288 21073824 24976384 28098432 31610736 37464576 42147648 49952768 56196864 63221472 74929152 84295296 99905536 112393728 126442944 149858304 168590592 199811072 224787456 252885888 299716608 337181184 399622144 449574912 505771776 599433216 674362368 799244288 899149824 1011543552 1198866432 1348724736 1798299648 2023087104 2397732864 2697449472 3596599296 4046174208 5394898944 7193198592 8092348416 10789797888 16184696832 21579595776 32369393664 64738787328