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6463874059664 = 247247698325121
BaseRepresentation
bin101111000001111110011…
…1010101100110110010000
3211212221101111102100102112
41132003330322230312100
51321401003224402124
621425243542004452
71234666552651400
oct136037472546620
924787344370375
106463874059664
11207234a43720a
128848aa416728
1337b704c22cc8
14184bd3174800
15b321827d90e
hex5e0fceacd90

6463874059664 has 120 divisors (see below), whose sum is σ = 14881140903168. Its totient is φ = 2710794455040.

The previous prime is 6463874059649. The next prime is 6463874059667. The reversal of 6463874059664 is 4669504783646.

It is a junction number, because it is equal to n+sod(n) for n = 6463874059594 and 6463874059603.

It is not an unprimeable number, because it can be changed into a prime (6463874059667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 257297024 + ... + 257322144.

Almost surely, 26463874059664 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 6463874059664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7440570451584).

6463874059664 is an abundant number, since it is smaller than the sum of its proper divisors (8417266843504).

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

6463874059664 is a wasteful number, since it uses less digits than its factorization.

6463874059664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32173 (or 32160 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 68.

The spelling of 6463874059664 in words is "six trillion, four hundred sixty-three billion, eight hundred seventy-four million, fifty-nine thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 47 49 56 94 98 112 188 196 329 376 392 658 752 784 1316 2303 2632 4606 5264 6983 9212 13966 18424 25121 27932 36848 48881 50242 55864 97762 100484 111728 175847 195524 200968 328201 342167 351694 391048 401936 656402 684334 703388 782096 1180687 1230929 1312804 1368668 1406776 2297407 2361374 2461858 2625608 2737336 2813552 4594814 4722748 4923716 5251216 5474672 8264809 9189628 9445496 9847432 16081849 16529618 18379256 18890992 19694864 32163698 33059236 36758512 57853663 64327396 66118472 115707326 128654792 132236944 175419943 231414652 257309584 350839886 462829304 701679772 925658608 1227939601 1403359544 2455879202 2806719088 4911758404 8244737321 8595577207 9823516808 16489474642 17191154414 19647033616 32978949284 34382308828 57713161247 65957898568 68764617656 115426322494 131915797136 137529235312 230852644988 403992128729 461705289976 807984257458 923410579952 1615968514916 3231937029832 6463874059664