Search a number
-
+
3352585518920 = 23511139281195077
BaseRepresentation
bin110000110010010101101…
…010110011111101001000
3102212111121110010110000002
4300302111222303331020
5414412043343101140
611044053450502132
7464134123501301
oct60622552637510
912774543113002
103352585518920
11108290713a720
12461906134948
131b41bbc71081
14b83a1cbb7a8
155c31d767415
hex30c95ab3f48

3352585518920 has 128 divisors (see below), whose sum is σ = 8317813795200. Its totient is φ = 1206037862400.

The previous prime is 3352585518833. The next prime is 3352585518949. The reversal of 3352585518920 is 298155852533.

3352585518920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33525855189202 (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 31 ways as a sum of consecutive naturals, for example, 17088422 + ... + 17283498.

It is an arithmetic number, because the mean of its divisors is an integer number (64982920275).

Almost surely, 23352585518920 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 3352585518920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4158906897600).

3352585518920 is an abundant number, since it is smaller than the sum of its proper divisors (4965228276280).

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

3352585518920 is a wasteful number, since it uses less digits than its factorization.

3352585518920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195519 (or 195515 counting only the distinct ones).

The product of its (nonzero) digits is 12960000, while the sum is 56.

The spelling of 3352585518920 in words is "three trillion, three hundred fifty-two billion, five hundred eighty-five million, five hundred eighteen thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 139 220 278 281 440 556 562 695 1112 1124 1390 1405 1529 2248 2780 2810 3058 3091 5560 5620 6116 6182 7645 11240 12232 12364 15290 15455 24728 30580 30910 39059 61160 61820 78118 123640 156236 195077 195295 312472 390154 390590 429649 780308 781180 859298 975385 1560616 1562360 1718596 1950770 2145847 2148245 3437192 3901540 4291694 4296490 7803080 8583388 8592980 10729235 17166776 17185960 21458470 27115703 42916940 54231406 54816637 85833880 108462812 109633274 135578515 216925624 219266548 271157030 274083185 298272733 438533096 542314060 548166370 596545466 602983007 1084628120 1096332740 1193090932 1205966014 1491363665 2192665480 2386181864 2411932028 2982727330 3014915035 4823864056 5965454660 6029830070 7619512543 11930909320 12059660140 15239025086 24119320280 30478050172 38097562715 60956100344 76195125430 83814637973 152390250860 167629275946 304780501720 335258551892 419073189865 670517103784 838146379730 1676292759460 3352585518920