Search a number
-
+
20211293424 = 24372233071217
BaseRepresentation
bin10010110100101011…
…111101110011110000
31221011120010002100010
4102310223331303300
5312343042342144
613141314054520
71313566105500
oct226453756360
957146102303
1020211293424
118631825993
123b0087a440
131ba13b742a
14d9a3a7a00
157d45a65b9
hex4b4afdcf0

20211293424 has 240 divisors, whose sum is σ = 63636427008. Its totient is φ = 5501067264.

The previous prime is 20211293413. The next prime is 20211293497. The reversal of 20211293424 is 42439211202.

It is a junction number, because it is equal to n+sod(n) for n = 20211293391 and 20211293400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16606864 + ... + 16608080.

Almost surely, 220211293424 is an apocalyptic number.

20211293424 is a gapful number since it is divisible by the number (24) 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 20211293424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31818213504).

20211293424 is an abundant number, since it is smaller than the sum of its proper divisors (43425133584).

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

20211293424 is a wasteful number, since it uses less digits than its factorization.

20211293424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1572 (or 1559 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 20211293424 in words is "twenty billion, two hundred eleven million, two hundred ninety-three thousand, four hundred twenty-four".