Search a number
-
+
21302938457784 = 233241139223232811
BaseRepresentation
bin1001101011111111110100…
…00101000101011010111000
32210102112121102001002011200
410311333322011011122320
510243011404221122114
6113150233531054200
74326041450126514
oct465777205053270
983375542032150
1021302938457784
116873586436035
12248079aba1360
13bb6b210c5799
145390d3b8d144
1526e211c45409
hex135ffa1456b8

21302938457784 has 192 divisors, whose sum is σ = 59795061580800. Its totient is φ = 6847072473600.

The previous prime is 21302938457777. The next prime is 21302938457803. The reversal of 21302938457784 is 48775483920312.

It is a happy number.

21302938457784 is a `hidden beast` number, since 2 + 1 + 3 + 0 + 29 + 38 + 4 + 577 + 8 + 4 = 666.

It is a super-2 number, since 2×213029384577842 (a number of 27 digits) contains 22 as substring.

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, 91386739 + ... + 91619549.

It is an arithmetic number, because the mean of its divisors is an integer number (311432612400).

Almost surely, 221302938457784 is an apocalyptic number.

21302938457784 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 21302938457784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29897530790400).

21302938457784 is an abundant number, since it is smaller than the sum of its proper divisors (38492123123016).

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

21302938457784 is a wasteful number, since it uses less digits than its factorization.

21302938457784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233226 (or 233219 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 21302938457784 in words is "twenty-one trillion, three hundred two billion, nine hundred thirty-eight million, four hundred fifty-seven thousand, seven hundred eighty-four".