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4107682439120 = 245133949694653
BaseRepresentation
bin111011110001100100111…
…100111101111111010000
3112112200122110012101110002
4323301210330331333100
51014300013201022440
612423013202225132
7602525125432241
oct73614474757720
915480573171402
104107682439120
111344070716a07
1256411a6551a8
1323a478112330
14102b54802cc8
1571cb48b3115
hex3bc64f3dfd0

4107682439120 has 40 divisors (see below), whose sum is σ = 10285004879016. Its totient is φ = 1516682746368.

The previous prime is 4107682439117. The next prime is 4107682439149. The reversal of 4107682439120 is 219342867014.

It can be written as a sum of positive squares in 4 ways, for example, as 740281276816 + 3367401162304 = 860396^2 + 1835048^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1974846287 + ... + 1974848366.

Almost surely, 24107682439120 is an apocalyptic number.

4107682439120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4107682439120 is an abundant number, since it is smaller than the sum of its proper divisors (6177322439896).

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

4107682439120 is a wasteful number, since it uses less digits than its factorization.

4107682439120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3949694679 (or 3949694673 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 47.

The spelling of 4107682439120 in words is "four trillion, one hundred seven billion, six hundred eighty-two million, four hundred thirty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 3949694653 7899389306 15798778612 19748473265 31597557224 39496946530 51346030489 63195114448 78993893060 102692060978 157987786120 205384121956 256730152445 315975572240 410768243912 513460304890 821536487824 1026920609780 2053841219560 4107682439120