Search a number
-
+
21426766768 = 24113532977
BaseRepresentation
bin10011111101001000…
…101000001110110000
32001022021020112022101
4103331020220032300
5322340223014033
613502053550144
71355655340531
oct237510501660
961267215271
1021426766768
1190a5940010
12419b945354
132036168824
1410739a4688
1585614b97d
hex4fd2283b0

21426766768 has 60 divisors (see below), whose sum is σ = 45463538808. Its totient is φ = 9701908480.

The previous prime is 21426766741. The next prime is 21426766771. The reversal of 21426766768 is 86766762412.

It is a happy number.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21930696 + ... + 21931672.

Almost surely, 221426766768 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 21426766768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22731769404).

21426766768 is an abundant number, since it is smaller than the sum of its proper divisors (24036772040).

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

21426766768 is an equidigital number, since it uses as much as digits as its factorization.

21426766768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1702 (or 1343 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 55.

The spelling of 21426766768 in words is "twenty-one billion, four hundred twenty-six million, seven hundred sixty-six thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 44 88 176 353 706 977 1412 1954 2824 3883 3908 5648 7766 7816 10747 15532 15632 21494 31064 42988 62128 85976 124609 171952 249218 344881 498436 689762 996872 1370699 1379524 1993744 2741398 2759048 3793691 5482796 5518096 7587382 10965592 15174764 21931184 30349528 60699056 121742993 243485986 486971972 973943944 1339172923 1947887888 2678345846 5356691692 10713383384 21426766768