Search a number
-
+
20243624456 = 2311614797873
BaseRepresentation
bin10010110110100111…
…010011001000001000
31221020210221200011202
4102312213103020020
5312424331440311
613144431043332
71314440653166
oct226647231010
957223850152
1020243624456
118648aa8750
123b0b670548
131ba7cc7413
14da07c2236
157d7340e3b
hex4b69d3208

20243624456 has 64 divisors (see below), whose sum is σ = 42179443200. Its totient is φ = 9030758400.

The previous prime is 20243624437. The next prime is 20243624491. The reversal of 20243624456 is 65442634202.

It is a super-2 number, since 2×202436244562 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2567336 + ... + 2575208.

It is an arithmetic number, because the mean of its divisors is an integer number (659053800).

Almost surely, 220243624456 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 20243624456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21089721600).

20243624456 is an abundant number, since it is smaller than the sum of its proper divisors (21935818744).

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

20243624456 is a wasteful number, since it uses less digits than its factorization.

20243624456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8430 (or 8426 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 38.

The spelling of 20243624456 in words is "twenty billion, two hundred forty-three million, six hundred twenty-four thousand, four hundred fifty-six".

Divisors: 1 2 4 8 11 22 44 61 88 122 244 479 488 671 958 1342 1916 2684 3832 5269 5368 7873 10538 15746 21076 29219 31492 42152 58438 62984 86603 116876 173206 233752 321409 346412 480253 642818 692824 960506 1285636 1921012 2571272 3771167 3842024 5282783 7542334 10565566 15084668 21131132 30169336 41482837 42262264 82965674 165931348 230041187 331862696 460082374 920164748 1840329496 2530453057 5060906114 10121812228 20243624456