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21025714428 = 22331073375399
BaseRepresentation
bin10011100101001110…
…101111000011111100
32000021022120221221000
4103211032233003330
5321030040330203
613354210010300
71343015423655
oct234516570374
960238527830
1021025714428
118a0a5164a4
1240a9576990
131ca1049254
14103660852c
15830d2b4a3
hex4e53af0fc

21025714428 has 96 divisors (see below), whose sum is σ = 55194048000. Its totient is φ = 6921186048.

The previous prime is 21025714421. The next prime is 21025714441. The reversal of 21025714428 is 82441752012.

21025714428 is a `hidden beast` number, since 21 + 0 + 2 + 571 + 44 + 28 = 666.

It is a super-3 number, since 3×210257144283 (a number of 32 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 21025714392 and 21025714401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21025714421) 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, 3891673 + ... + 3897071.

It is an arithmetic number, because the mean of its divisors is an integer number (574938000).

Almost surely, 221025714428 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 21025714428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27597024000).

21025714428 is an abundant number, since it is smaller than the sum of its proper divisors (34168333572).

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

21025714428 is a wasteful number, since it uses less digits than its factorization.

21025714428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5856 (or 5848 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 21025714428 in words is "twenty-one billion, twenty-five million, seven hundred fourteen thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 107 108 214 321 337 428 642 674 963 1011 1284 1348 1926 2022 2889 3033 3852 4044 5399 5778 6066 9099 10798 11556 12132 16197 18198 21596 32394 36059 36396 48591 64788 72118 97182 108177 144236 145773 194364 216354 291546 324531 432708 577693 583092 649062 973593 1155386 1298124 1733079 1819463 1947186 2310772 3466158 3638926 3894372 5199237 5458389 6932316 7277852 10398474 10916778 15597711 16375167 20796948 21833556 31195422 32750334 49125501 62390844 65500668 98251002 194682541 196502004 389365082 584047623 778730164 1168095246 1752142869 2336190492 3504285738 5256428607 7008571476 10512857214 21025714428