Search a number
-
+
21435027744 = 25313234791559
BaseRepresentation
bin10011111101101000…
…001001000100100000
32001022211210020020110
4103331220021010200
5322344331341434
613502551011320
71356115505154
oct237550110440
961284706213
1021435027744
1190aa572669
1241a2669b40
132037a9b990
141074b15064
15856c2e4e9
hex4fda09120

21435027744 has 192 divisors, whose sum is σ = 63402393600. Its totient is φ = 6291428352.

The previous prime is 21435027703. The next prime is 21435027763. The reversal of 21435027744 is 44772053412.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13748437 + ... + 13749995.

It is an arithmetic number, because the mean of its divisors is an integer number (330220800).

Almost surely, 221435027744 is an apocalyptic number.

21435027744 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 21435027744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31701196800).

21435027744 is an abundant number, since it is smaller than the sum of its proper divisors (41967365856).

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

21435027744 is a wasteful number, since it uses less digits than its factorization.

21435027744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2087 (or 2079 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 39.

The spelling of 21435027744 in words is "twenty-one billion, four hundred thirty-five million, twenty-seven thousand, seven hundred forty-four".