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64849678336 = 2122321732
BaseRepresentation
bin111100011001010101…
…111001000000000000
320012101111002222202101
4330121111321000000
52030303004201321
645442545400144
74454015112412
oct743125710000
9205344088671
1064849678336
1125558a53193
121069a039054
136166406641
1431d29c49b2
151a483b4791
hexf19579000

64849678336 has 117 divisors (see below), whose sum is σ = 136355241169. Its totient is φ = 30835785728.

The previous prime is 64849678331. The next prime is 64849678351. The reversal of 64849678336 is 63387694846.

The square root of 64849678336 is 254656.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 58990694400 + 5858983936 = 242880^2 + 76544^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (64849678331) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 374853546 + ... + 374853718.

Almost surely, 264849678336 is an apocalyptic number.

64849678336 is the 254656-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64849678336

64849678336 is an abundant number, since it is smaller than the sum of its proper divisors (71505562833).

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

64849678336 is an frugal number, since it uses more digits than its factorization.

64849678336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 198 counting only the distinct ones).

The product of its digits is 125411328, while the sum is 64.

Multiplying 64849678336 by its sum of digits (64), we get a square (4150379413504 = 20372482).

64849678336 divided by its sum of digits (64) gives a square (1013276224 = 318322).

The spelling of 64849678336 in words is "sixty-four billion, eight hundred forty-nine million, six hundred seventy-eight thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 173 184 256 346 368 512 529 692 736 1024 1058 1384 1472 2048 2116 2768 2944 3979 4096 4232 5536 5888 7958 8464 11072 11776 15916 16928 22144 23552 29929 31832 33856 44288 47104 59858 63664 67712 88576 91517 94208 119716 127328 135424 177152 183034 239432 254656 270848 354304 366068 478864 509312 541696 688367 708608 732136 957728 1018624 1083392 1376734 1464272 1915456 2037248 2166784 2753468 2928544 3830912 4074496 5506936 5857088 7661824 8148992 11013872 11714176 15323648 15832441 16297984 22027744 23428352 30647296 31664882 44055488 46856704 61294592 63329764 88110976 93713408 122589184 126659528 176221952 187426816 253319056 352443904 374853632 506638112 704887808 1013276224 1409775616 2026552448 2819551232 4053104896 8106209792 16212419584 32424839168 64849678336