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634305326565664 = 251361312763194891
BaseRepresentation
bin1001000000111001011011011…
…1101010110100100100100000
310002011212222220211002020022101
42100032112313222310210200
51131114424302100100124
610125015502205420144
7250415022206645125
oct22016266752644440
93064788824066271
10634305326565664
111741224185a4546
125b18475656a654
13212c19742715b0
14b28c78228874c
154d4eb0d072644
hex240e5b7ab4920

634305326565664 has 96 divisors (see below), whose sum is σ = 1347155610623424. Its totient is φ = 292254324894720.

The previous prime is 634305326565619. The next prime is 634305326565683. The reversal of 634305326565664 is 466565623503436.

It is a junction number, because it is equal to n+sod(n) for n = 634305326565596 and 634305326565605.

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, 3254569659 + ... + 3254764549.

It is an arithmetic number, because the mean of its divisors is an integer number (14032870943994).

Almost surely, 2634305326565664 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 634305326565664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673577805311712).

634305326565664 is an abundant number, since it is smaller than the sum of its proper divisors (712850284057760).

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

634305326565664 is a wasteful number, since it uses less digits than its factorization.

634305326565664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208290 (or 208282 counting only the distinct ones).

The product of its (nonzero) digits is 839808000, while the sum is 64.

The spelling of 634305326565664 in words is "six hundred thirty-four trillion, three hundred five billion, three hundred twenty-six million, five hundred sixty-five thousand, six hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 613 1226 2452 4904 7969 9808 12763 15938 19616 25526 31876 51052 63752 102104 127504 165919 194891 204208 255008 331838 389782 408416 663676 779564 1327352 1559128 2533583 2654704 3118256 5067166 5309408 6236512 7823719 10134332 15647438 20268664 31294876 40537328 62589752 81074656 101708347 119468183 125179504 203416694 238936366 250359008 406833388 477872732 813666776 955745464 1553086379 1627333552 1911490928 2487393833 3106172758 3254667104 3822981856 4974787666 6212345516 9949575332 12424691032 19899150664 24849382064 32336119829 39798301328 49698764128 64672239658 79596602656 129344479316 258688958632 517377917264 1034755834528 1524772419629 3049544839258 6099089678516 12198179357032 19822041455177 24396358714064 39644082910354 48792717428128 79288165820708 158576331641416 317152663282832 634305326565664