Search a number
-
+
7000712161720 = 23523103109677783
BaseRepresentation
bin110010111011111101011…
…1101100010100110111000
3220210021001200000112121021
41211313322331202212320
51404144424303133340
622520025513352224
71321533113353354
oct145677275424670
926707050015537
107000712161720
112259a92563a52
12950950408674
133ba21a0354b4
141a2b9ca58464
15c2187ec4e4a
hex65dfaf629b8

7000712161720 has 128 divisors (see below), whose sum is σ = 16748313753600. Its totient is φ = 2628189172224.

The previous prime is 7000712161687. The next prime is 7000712161759. The reversal of 7000712161720 is 271612170007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9989949 + ... + 10667731.

It is an arithmetic number, because the mean of its divisors is an integer number (130846201200).

Almost surely, 27000712161720 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 7000712161720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8374156876800).

7000712161720 is an abundant number, since it is smaller than the sum of its proper divisors (9747601591880).

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

7000712161720 is a wasteful number, since it uses less digits than its factorization.

7000712161720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678029 (or 678025 counting only the distinct ones).

The product of its (nonzero) digits is 8232, while the sum is 34.

The spelling of 7000712161720 in words is "seven trillion, seven hundred twelve million, one hundred sixty-one thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 103 109 115 184 206 218 230 412 436 460 515 545 824 872 920 1030 1090 2060 2180 2369 2507 4120 4360 4738 5014 9476 10028 11227 11845 12535 18952 20056 22454 23690 25070 44908 47380 50140 56135 89816 94760 100280 112270 224540 258221 449080 516442 677783 1032884 1291105 1355566 2065768 2582210 2711132 3388915 5164420 5422264 6777830 10328840 13555660 15589009 27111320 31178018 62356036 69811649 73878347 77945045 124712072 139623298 147756694 155890090 279246596 295513388 311780180 349058245 369391735 558493192 591026776 623560360 698116490 738783470 1396232980 1477566940 1605667927 1699201981 2792465960 2955133880 3211335854 3398403962 6422671708 6796807924 7609469741 8028339635 8496009905 12845343416 13593615848 15218939482 16056679270 16992019810 30437878964 32113358540 33984039620 38047348705 60875757928 64226717080 67968079240 76094697410 152189394820 175017804043 304378789640 350035608086 700071216172 875089020215 1400142432344 1750178040430 3500356080860 7000712161720