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28670137650 = 23352721131241
BaseRepresentation
bin11010101100110111…
…111001010100110010
32202000001220220012000
4122230313321110302
5432204023401100
621100524314430
72033321102100
oct325467712462
982001826160
1028670137650
11111825aa840
1256816a2a16
13291ba029bb
14155d992c70
15b2beda900
hex6acdf9532

28670137650 has 864 divisors, whose sum is σ = 106120082880. Its totient is φ = 5624640000.

The previous prime is 28670137621. The next prime is 28670137651. The reversal of 28670137650 is 5673107682.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 28670137596 and 28670137605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28670137651) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 699271630 + ... + 699271670.

It is an arithmetic number, because the mean of its divisors is an integer number (122824170).

Almost surely, 228670137650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28670137650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53060041440).

28670137650 is an abundant number, since it is smaller than the sum of its proper divisors (77449945230).

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

28670137650 is a wasteful number, since it uses less digits than its factorization.

28670137650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 28670137650 in words is "twenty-eight billion, six hundred seventy million, one hundred thirty-seven thousand, six hundred fifty".