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670736685632 = 261322692857
BaseRepresentation
bin10011100001010110000…
…01011001101001000000
32101010021210102000001212
421300223001121221000
541442132042420012
61232044314545252
766313323521126
oct11605301315100
92333253360055
10670736685632
11239504411472
12a9bb0438228
134b3338ba300
142466ca63916
15126a9e9ab22
hex9c2b059a40

670736685632 has 126 divisors (see below), whose sum is σ = 1448318646918. Its totient is φ = 308060073984.

The previous prime is 670736685581. The next prime is 670736685653. The reversal of 670736685632 is 236586637076.

It can be written as a sum of positive squares in 9 ways, for example, as 506795914816 + 163940770816 = 711896^2 + 404896^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 782656148 + ... + 782657004.

Almost surely, 2670736685632 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 670736685632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724159323459).

670736685632 is an abundant number, since it is smaller than the sum of its proper divisors (777581961286).

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

670736685632 is an equidigital number, since it uses as much as digits as its factorization.

670736685632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1433 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 59.

The spelling of 670736685632 in words is "six hundred seventy billion, seven hundred thirty-six million, six hundred eighty-five thousand, six hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 169 208 269 338 416 538 676 832 857 1076 1352 1714 2152 2704 3428 3497 4304 5408 6856 6994 8608 10816 11141 13712 13988 17216 22282 27424 27976 44564 45461 54848 55952 72361 89128 90922 111904 144722 144833 178256 181844 223808 230533 289444 289666 356512 363688 461066 578888 579332 713024 727376 922132 940693 1157776 1158664 1454752 1844264 1881386 2315552 2317328 2909504 2996929 3688528 3762772 4631104 4634656 5993858 7377056 7525544 9269312 11987716 12229009 14754112 15051088 23975432 24458018 30102176 38960077 47950864 48916036 60204352 62013377 77920154 95901728 97832072 124026754 155840308 191803456 195664144 248053508 311680616 391328288 496107016 623361232 782656576 806173901 992214032 1246722464 1612347802 1984428064 2493444928 3224695604 3968856128 6449391208 10480260713 12898782416 20960521426 25797564832 41921042852 51595129664 83842085704 167684171408 335368342816 670736685632