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640716866832 = 243797112131619
BaseRepresentation
bin10010101001011011011…
…00111000010100010000
32021020210122211012102010
421110231230320110100
540444142004214312
61210201414022520
764201363336410
oct11245554702420
92236718735363
10640716866832
112277a9a71269
12a4212947a40
134855b3a6413
1423021b3a640
15119ee75993c
hex952db38510

640716866832 has 160 divisors (see below), whose sum is σ = 1896320056320. Its totient is φ = 182609809920.

The previous prime is 640716866789. The next prime is 640716866887. The reversal of 640716866832 is 238668617046.

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 31 ways as a sum of consecutive naturals, for example, 395747719 + ... + 395749337.

It is an arithmetic number, because the mean of its divisors is an integer number (11852000352).

Almost surely, 2640716866832 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 640716866832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (948160028160).

640716866832 is an abundant number, since it is smaller than the sum of its proper divisors (1255603189488).

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

640716866832 is a wasteful number, since it uses less digits than its factorization.

640716866832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3821 (or 3815 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 57.

The spelling of 640716866832 in words is "six hundred forty billion, seven hundred sixteen million, eight hundred sixty-six thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 971 1213 1619 1942 2426 2913 3238 3639 3884 4852 4857 5826 6476 6797 7278 7768 8491 9704 9714 11333 11652 12952 13594 14556 15536 16982 19408 19428 20391 22666 23304 25473 25904 27188 29112 33964 33999 38856 40782 45332 46608 50946 54376 58224 67928 67998 77712 81564 90664 101892 108752 135856 135996 163128 181328 203784 271992 326256 407568 543984 1177823 1572049 1963847 2355646 3144098 3533469 3927694 4711292 4716147 5891541 6288196 7066938 7855388 8244761 9422584 9432294 11004343 11783082 12576392 13746929 14133876 15710776 16489522 18845168 18864588 22008686 23566164 24734283 25152784 27493858 28267752 31421552 32979044 33013029 37729176 41240787 44017372 47132328 49468566 54987716 56535504 65958088 66026058 75458352 82481574 88034744 94264656 98937132 109975432 131916176 132052116 164963148 176069488 197874264 219950864 264104232 329926296 395748528 528208464 659852592 1906895437 3813790874 5720686311 7627581748 11441372622 13348268059 15255163496 22882745244 26696536118 30510326992 40044804177 45765490488 53393072236 80089608354 91530980976 106786144472 160179216708 213572288944 320358433416 640716866832