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21235427580 = 223523107143813
BaseRepresentation
bin10011110001101110…
…101110100011111100
32000210221012111021210
4103301232232203330
5321442232140310
613431100524420
71351143104403
oct236156564374
960727174253
1021235427580
119007933054
124147850710
132005624683
1410563d863a
15844453820
hex4f1bae8fc

21235427580 has 96 divisors (see below), whose sum is σ = 62624669184. Its totient is φ = 5365913344.

The previous prime is 21235427531. The next prime is 21235427581. The reversal of 21235427580 is 8572453212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21235427581) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75754 + ... + 219566.

It is an arithmetic number, because the mean of its divisors is an integer number (652340304).

Almost surely, 221235427580 is an apocalyptic number.

21235427580 is a gapful number since it is divisible by the number (20) 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 21235427580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31312334592).

21235427580 is an abundant number, since it is smaller than the sum of its proper divisors (41389241604).

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

21235427580 is a wasteful number, since it uses less digits than its factorization.

21235427580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143955 (or 143953 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

The spelling of 21235427580 in words is "twenty-one billion, two hundred thirty-five million, four hundred twenty-seven thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 107 115 138 214 230 276 321 345 428 460 535 642 690 1070 1284 1380 1605 2140 2461 3210 4922 6420 7383 9844 12305 14766 24610 29532 36915 49220 73830 143813 147660 287626 431439 575252 719065 862878 1438130 1725756 2157195 2876260 3307699 4314390 6615398 8628780 9923097 13230796 15387991 16538495 19846194 30775982 33076990 39692388 46163973 49615485 61551964 66153980 76939955 92327946 99230970 153879910 184655892 198461940 230819865 307759820 353923793 461639730 707847586 923279460 1061771379 1415695172 1769618965 2123542758 3539237930 4247085516 5308856895 7078475860 10617713790 21235427580