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106565441480 = 2352664136037
BaseRepresentation
bin110001100111111001…
…0111001011111001000
3101012001201200022210222
41203033302321133020
53221221223111410
6120542215125212
710461535210211
oct1431762713710
9335051608728
10106565441480
11412154604a3
12187a0673808
13a083a94264
14522cdbc408
152b8a815955
hex18cfcb97c8

106565441480 has 16 divisors (see below), whose sum is σ = 239772243420. Its totient is φ = 42626176576.

The previous prime is 106565441461. The next prime is 106565441519. The reversal of 106565441480 is 84144565601.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 104462118436 + 2103323044 = 323206^2 + 45862^2 .

It is a super-3 number, since 3×1065654414803 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1332067979 + ... + 1332068058.

Almost surely, 2106565441480 is an apocalyptic number.

106565441480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106565441480 is an abundant number, since it is smaller than the sum of its proper divisors (133206801940).

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

106565441480 is a wasteful number, since it uses less digits than its factorization.

106565441480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2664136048 (or 2664136044 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 44.

The spelling of 106565441480 in words is "one hundred six billion, five hundred sixty-five million, four hundred forty-one thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 2664136037 5328272074 10656544148 13320680185 21313088296 26641360370 53282720740 106565441480