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3495785568804 = 223267246512
BaseRepresentation
bin110010110111101101000…
…011101001101000100100
3110101012020022021200221100
4302313231003221220210
5424233332101200204
611233535224520100
7510363553026144
oct62675503515044
913335208250840
103495785568804
111128610900691
1248560b620030
131c48607bb4b9
14c12a8508924
1560e00396a39
hex32ded0e9a24

3495785568804 has 81 divisors (see below), whose sum is σ = 8972355785211. Its totient is φ = 1147623087600.

The previous prime is 3495785568797. The next prime is 3495785568823. The reversal of 3495785568804 is 4088655875943.

The square root of 3495785568804 is 1869702.

It is a perfect power (a square), and thus also a powerful number.

3495785568804 is a `hidden beast` number, since 3 + 4 + 9 + 57 + 8 + 5 + 568 + 8 + 0 + 4 = 666.

3495785568804 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 751617879 + ... + 751622529.

Almost surely, 23495785568804 is an apocalyptic number.

3495785568804 is the 1869702-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3495785568804

3495785568804 is an abundant number, since it is smaller than the sum of its proper divisors (5476570216407).

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

3495785568804 is an frugal number, since it uses more digits than its factorization.

3495785568804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9446 (or 4723 counting only the distinct ones).

The product of its (nonzero) digits is 1161216000, while the sum is 72.

The spelling of 3495785568804 in words is "three trillion, four hundred ninety-five billion, seven hundred eighty-five million, five hundred sixty-eight thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 67 134 201 268 402 603 804 1206 2412 4489 4651 8978 9302 13467 13953 17956 18604 26934 27906 40401 41859 53868 55812 80802 83718 161604 167436 311617 623234 934851 1246468 1869702 2804553 3739404 5609106 11218212 20878339 21631801 41756678 43263602 62635017 64895403 83513356 86527204 125270034 129790806 187905051 194686209 250540068 259581612 375810102 389372418 751620204 778744836 1449330667 2898661334 4347992001 5797322668 8695984002 13043976003 17391968004 26087952006 52175904012 97105154689 194210309378 291315464067 388420618756 582630928134 873946392201 1165261856268 1747892784402 3495785568804