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180042971640 = 233572157195029
BaseRepresentation
bin1010011110101101100…
…1011011100111111000
3122012201111121121020220
42213223121123213320
510422212000043030
6214413253420040
716002430002600
oct2475331334770
9565644547226
10180042971640
116a3a0622434
122aa8803a620
1313c9380b85c
1489dd7c3c00
154a3b395a10
hex29eb65b9f8

180042971640 has 192 divisors, whose sum is σ = 632318464800. Its totient is φ = 40890350592.

The previous prime is 180042971623. The next prime is 180042971651. The reversal of 180042971640 is 46179240081.

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 = 180042971592 and 180042971601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 825646 + ... + 1020674.

Almost surely, 2180042971640 is an apocalyptic number.

180042971640 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 180042971640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316159232400).

180042971640 is an abundant number, since it is smaller than the sum of its proper divisors (452275493160).

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

180042971640 is a wasteful number, since it uses less digits than its factorization.

180042971640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195214 (or 195203 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 180042971640 in words is "one hundred eighty billion, forty-two million, nine hundred seventy-one thousand, six hundred forty".