Search a number
-
+
21379021632 = 263341301759
BaseRepresentation
bin10011111010010010…
…011111101101000000
32001011221101211022000
4103322102133231000
5322241012143012
613453230344000
71354535454063
oct237222375500
961157354260
1021379021632
11908099a421
12418795b000
1320292bc877
14106b4d68da
15851d69ddc
hex4fa49fb40

21379021632 has 112 divisors (see below), whose sum is σ = 64383513600. Its totient is φ = 6952504320.

The previous prime is 21379021621. The next prime is 21379021639. The reversal of 21379021632 is 23612097312.

21379021632 is a `hidden beast` number, since 2 + 13 + 7 + 9 + 0 + 2 + 1 + 632 = 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 (21379021639) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80032 + ... + 221727.

It is an arithmetic number, because the mean of its divisors is an integer number (574852800).

Almost surely, 221379021632 is an apocalyptic number.

It is an amenable number.

21379021632 is an abundant number, since it is smaller than the sum of its proper divisors (43004491968).

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

21379021632 is a wasteful number, since it uses less digits than its factorization.

21379021632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301821 (or 301805 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 21379021632 in words is "twenty-one billion, three hundred seventy-nine million, twenty-one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 64 72 82 96 108 123 144 164 192 216 246 288 328 369 432 492 576 656 738 864 984 1107 1312 1476 1728 1968 2214 2624 2952 3936 4428 5904 7872 8856 11808 17712 23616 35424 70848 301759 603518 905277 1207036 1810554 2414072 2715831 3621108 4828144 5431662 7242216 8147493 9656288 10863324 12372119 14484432 16294986 19312576 21726648 24744238 28968864 32589972 37116357 43453296 49488476 57937728 65179944 74232714 86906592 98976952 111349071 130359888 148465428 173813184 197953904 222698142 260719776 296930856 334047213 395907808 445396284 521439552 593861712 668094426 791815616 890792568 1187723424 1336188852 1781585136 2375446848 2672377704 3563170272 5344755408 7126340544 10689510816 21379021632