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180115906740 = 2235711233154679
BaseRepresentation
bin1010011110111110111…
…1101010000010110100
3122012220120212002101220
42213233233222002310
510422334133003430
6214424420550340
716004303642430
oct2475757520264
9565816762356
10180115906740
116a428808680
122aaa85523b0
1313ca5967313
148a0936b9c0
154a429a1110
hex29efbea0b4

180115906740 has 384 divisors, whose sum is σ = 677283102720. Its totient is φ = 34643980800.

The previous prime is 180115906667. The next prime is 180115906759. The reversal of 180115906740 is 47609511081.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 180115906692 and 180115906701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3266721 + ... + 3321399.

It is an arithmetic number, because the mean of its divisors is an integer number (1763758080).

Almost surely, 2180115906740 is an apocalyptic number.

180115906740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 180115906740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338641551360).

180115906740 is an abundant number, since it is smaller than the sum of its proper divisors (497167195980).

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

180115906740 is a wasteful number, since it uses less digits than its factorization.

180115906740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54763 (or 54761 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 42.

The spelling of 180115906740 in words is "one hundred eighty billion, one hundred fifteen million, nine hundred six thousand, seven hundred forty".