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3486381707216 = 241924114721901
BaseRepresentation
bin110010101110111100100…
…010110000111111010000
3110100021221221021000222102
4302232330202300333100
5424110102204112331
611225342135255532
7506611534361102
oct62567442607720
913307857230872
103486381707216
111124625647251
1248382621a5a8
131c39c2477065
14c0a55605572
1560a4e9e24cb
hex32bbc8b0fd0

3486381707216 has 60 divisors (see below), whose sum is σ = 7302976149924. Its totient is φ = 1611164736000.

The previous prime is 3486381707177. The next prime is 3486381707231. The reversal of 3486381707216 is 6127071836843.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 727779610000 + 2758602097216 = 853100^2 + 1660904^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7124135 + ... + 7597766.

Almost surely, 23486381707216 is an apocalyptic number.

It is an amenable number.

3486381707216 is an abundant number, since it is smaller than the sum of its proper divisors (3816594442708).

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

3486381707216 is a wasteful number, since it uses less digits than its factorization.

3486381707216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14721988 (or 14721963 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 56.

The spelling of 3486381707216 in words is "three trillion, four hundred eighty-six billion, three hundred eighty-one million, seven hundred seven thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 19 38 41 76 82 152 164 304 328 361 656 722 779 1444 1558 2888 3116 5776 6232 12464 14801 29602 59204 118408 236816 14721901 29443802 58887604 117775208 235550416 279716119 559432238 603597941 1118864476 1207195882 2237728952 2414391764 4475457904 4828783528 5314606261 9657567056 10629212522 11468360879 21258425044 22936721758 42516850088 45873443516 85033700176 91746887032 183493774064 217898856701 435797713402 871595426804 1743190853608 3486381707216