Search a number
-
+
3483552704072 = 2372263281120247
BaseRepresentation
bin110010101100010011111…
…010111110011001001000
3110100000122202222210020012
4302230103322332121020
5424033303443012242
611224153320051052
7506451453265400
oct62542372763110
913300582883205
103483552704072
11112340375a321
12483176903a88
131c36613337bc
14c08679d1800
1560936479282
hex32b13ebe648

3483552704072 has 96 divisors (see below), whose sum is σ = 7654150753920. Its totient is φ = 1481969422080.

The previous prime is 3483552703999. The next prime is 3483552704171. The reversal of 3483552704072 is 2704072553843.

It is a self number, because there is not a number n which added to its sum of digits gives 3483552704072.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28909853 + ... + 29030099.

It is an arithmetic number, because the mean of its divisors is an integer number (79730737020).

Almost surely, 23483552704072 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 3483552704072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3827075376960).

3483552704072 is an abundant number, since it is smaller than the sum of its proper divisors (4170598049848).

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

3483552704072 is a wasteful number, since it uses less digits than its factorization.

3483552704072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120811 (or 120800 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 50.

The spelling of 3483552704072 in words is "three trillion, four hundred eighty-three billion, five hundred fifty-two million, seven hundred four thousand, seventy-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 263 281 392 526 562 1052 1124 1841 1967 2104 2248 3682 3934 7364 7868 12887 13769 14728 15736 25774 27538 51548 55076 73903 103096 110152 120247 147806 240494 295612 480988 517321 591224 841729 961976 1034642 1683458 2069284 3366916 3621247 4138568 5892103 6733832 7242494 11784206 14484988 23568412 28969976 31624961 33789407 47136824 63249922 67578814 126499844 135157628 221374727 236525849 252999688 270315256 442749454 473051698 885498908 946103396 1549623089 1655680943 1770997816 1892206792 3099246178 3311361886 6198492356 6622723772 8886614041 12396984712 13245447544 17773228082 35546456164 62206298287 71092912328 124412596574 248825193148 435444088009 497650386296 870888176018 1741776352036 3483552704072