Search a number
-
+
21915630432 = 25333743107149
BaseRepresentation
bin10100011010010001…
…011111101101100000
32002120100010101012000
4110122101133231200
5324340400133212
614022400004000
71404042533163
oct243221375540
962510111160
1021915630432
119326890573
1242b7600600
1320b3521a77
1410bc89bada
158840151dc
hex51a45fb60

21915630432 has 384 divisors, whose sum is σ = 68257728000. Its totient is φ = 6831433728.

The previous prime is 21915630419. The next prime is 21915630437. The reversal of 21915630432 is 23403651912.

21915630432 is a `hidden beast` number, since 2 + 1 + 9 + 15 + 630 + 4 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21915630437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 147084694 + ... + 147084842.

It is an arithmetic number, because the mean of its divisors is an integer number (177754500).

Almost surely, 221915630432 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 21915630432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34128864000).

21915630432 is an abundant number, since it is smaller than the sum of its proper divisors (46342097568).

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

21915630432 is a wasteful number, since it uses less digits than its factorization.

21915630432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 21915630432 in words is "twenty-one billion, nine hundred fifteen million, six hundred thirty thousand, four hundred thirty-two".