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20240182128 = 2438311344959
BaseRepresentation
bin10010110110011010…
…001010101101110000
31221020120110210012010
4102312122022231300
5312422441312003
613144225202520
71314366465225
oct226632125560
957216423163
1020240182128
118647067451
123b0a490440
131ba739063a
14da016794c
157d6db1003
hex4b668ab70

20240182128 has 80 divisors (see below), whose sum is σ = 53386583040. Its totient is φ = 6606308352.

The previous prime is 20240182121. The next prime is 20240182147. The reversal of 20240182128 is 82128104202.

It is a super-2 number, since 2×202401821282 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20240182095 and 20240182104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20240182121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 427713 + ... + 472671.

It is an arithmetic number, because the mean of its divisors is an integer number (667332288).

Almost surely, 220240182128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20240182128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26693291520).

20240182128 is an abundant number, since it is smaller than the sum of its proper divisors (33146400912).

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

20240182128 is a wasteful number, since it uses less digits than its factorization.

20240182128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45166 (or 45160 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The spelling of 20240182128 in words is "twenty billion, two hundred forty million, one hundred eighty-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 83 113 166 226 249 332 339 452 498 664 678 904 996 1328 1356 1808 1992 2712 3984 5424 9379 18758 28137 37516 44959 56274 75032 89918 112548 134877 150064 179836 225096 269754 359672 450192 539508 719344 1079016 2158032 3731597 5080367 7463194 10160734 11194791 14926388 15241101 20321468 22389582 29852776 30482202 40642936 44779164 59705552 60964404 81285872 89558328 121928808 179116656 243857616 421670461 843340922 1265011383 1686681844 2530022766 3373363688 5060045532 6746727376 10120091064 20240182128