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5005573361728 = 261091674339923
BaseRepresentation
bin100100011010111001101…
…1011000001000001000000
3122201112021000101020101221
41020311303123001001000
51124002403240033403
614351310105004424
71024432526361142
oct110656333010100
918645230336357
105005573361728
11165a940738735
1268a144483714
132a403c952944
141343b1a58c92
158a316b82dbd
hex48d736c1040

5005573361728 has 112 divisors (see below), whose sum is σ = 10108394271360. Its totient is φ = 2459035459584.

The previous prime is 5005573361699. The next prime is 5005573361741. The reversal of 5005573361728 is 8271633755005.

It is a super-2 number, since 2×50055733617282 (a number of 26 digits) contains 22 as substring.

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, 504436575 + ... + 504446497.

It is an arithmetic number, because the mean of its divisors is an integer number (90253520280).

Almost surely, 25005573361728 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 5005573361728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5054197135680).

5005573361728 is an abundant number, since it is smaller than the sum of its proper divisors (5102820909632).

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

5005573361728 is a wasteful number, since it uses less digits than its factorization.

5005573361728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10644 (or 10634 counting only the distinct ones).

The product of its (nonzero) digits is 5292000, while the sum is 52.

The spelling of 5005573361728 in words is "five trillion, five billion, five hundred seventy-three million, three hundred sixty-one thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 109 167 218 334 433 436 668 866 872 1336 1732 1744 2672 3464 3488 5344 6928 6976 9923 10688 13856 18203 19846 27712 36406 39692 47197 72311 72812 79384 94394 144622 145624 158768 188788 289244 291248 317536 377576 578488 582496 635072 755152 1081607 1156976 1164992 1510304 1657141 2163214 2313952 3020608 3314282 4296659 4326428 4627904 6628564 7881899 8593318 8652856 13257128 15763798 17186636 17305712 26514256 31527596 34373272 34611424 53028512 63055192 68746544 69222848 106057024 126110384 137493088 180628369 252220768 274986176 361256738 468335831 504441536 717542053 722513476 936671662 1435084106 1445026952 1873343324 2870168212 2890053904 3746686648 5740336424 5780107808 7493373296 11480672848 11560215616 14986746592 22961345696 29973493184 45922691392 78212083777 156424167554 312848335108 625696670216 1251393340432 2502786680864 5005573361728