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106961509944 = 23321485576527
BaseRepresentation
bin110001110011101100…
…1110001111000111000
3101020002022221200121100
41203213121301320320
53223024121304234
6121045404211400
710504414555602
oct1434731617070
9336068850540
10106961509944
11413a8a90603
1218891239b60
13a117b5a1b3
14526983c172
152bb049e399
hex18e7671e38

106961509944 has 24 divisors (see below), whose sum is σ = 289687422960. Its totient is φ = 35653836624.

The previous prime is 106961509937. The next prime is 106961509973. The reversal of 106961509944 is 449905169601.

106961509944 is a `hidden beast` number, since 1 + 0 + 6 + 96 + 1 + 509 + 9 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×1069615099442 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 742788192 + ... + 742788335.

It is an arithmetic number, because the mean of its divisors is an integer number (12070309290).

Almost surely, 2106961509944 is an apocalyptic number.

It is an amenable number.

106961509944 is an abundant number, since it is smaller than the sum of its proper divisors (182725913016).

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

106961509944 is a wasteful number, since it uses less digits than its factorization.

106961509944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1485576539 (or 1485576532 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 106961509944 in words is "one hundred six billion, nine hundred sixty-one million, five hundred nine thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1485576527 2971153054 4456729581 5942306108 8913459162 11884612216 13370188743 17826918324 26740377486 35653836648 53480754972 106961509944