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2906909136 = 2432117117239
BaseRepresentation
bin1010110101000011…
…1110100111010000
321111120212021200100
42231100332213100
521423132043021
61200241052400
7132015214515
oct25520764720
97446767610
102906909136
11126196894a
12691627100
1337431c7a1
141d80d330c
15120306626
hexad43e9d0

2906909136 has 60 divisors (see below), whose sum is σ = 8142727840. Its totient is φ = 968086080.

The previous prime is 2906909113. The next prime is 2906909149. The reversal of 2906909136 is 6319096092.

It is a happy number.

2906909136 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2906909091 and 2906909100.

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, 160005 + ... + 177243.

Almost surely, 22906909136 is an apocalyptic number.

It is an amenable number.

2906909136 is an abundant number, since it is smaller than the sum of its proper divisors (5235818704).

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

2906909136 is a wasteful number, since it uses less digits than its factorization.

2906909136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18424 (or 18415 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The square root of 2906909136 is about 53915.7596255492. The cubic root of 2906909136 is about 1427.1747462008.

The spelling of 2906909136 in words is "two billion, nine hundred six million, nine hundred nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1171 2342 3513 4684 7026 9368 10539 14052 17239 18736 21078 28104 34478 42156 51717 56208 68956 84312 103434 137912 155151 168624 206868 275824 310302 413736 620604 827472 1241208 2482416 20186869 40373738 60560607 80747476 121121214 161494952 181681821 242242428 322989904 363363642 484484856 726727284 968969712 1453454568 2906909136