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21258428324 = 22721033892707
BaseRepresentation
bin10011110011000110…
…011101111110100100
32000212112111001101012
4103303012131332210
5322014124201244
613433241521352
71351542442100
oct236306357644
960775431335
1021258428324
119019912931
1241534a3258
13200a318893
1410594a4900
1584649889e
hex4f319dfa4

21258428324 has 72 divisors (see below), whose sum is σ = 43824755520. Its totient is φ = 8995783104.

The previous prime is 21258428239. The next prime is 21258428333. The reversal of 21258428324 is 42382485212.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7851779 + ... + 7854485.

It is an arithmetic number, because the mean of its divisors is an integer number (608677160).

Almost surely, 221258428324 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 21258428324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21912377760).

21258428324 is an abundant number, since it is smaller than the sum of its proper divisors (22566327196).

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

21258428324 is a wasteful number, since it uses less digits than its factorization.

21258428324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3217 (or 3208 counting only the distinct ones).

The product of its digits is 245760, while the sum is 41.

The spelling of 21258428324 in words is "twenty-one billion, two hundred fifty-eight million, four hundred twenty-eight thousand, three hundred twenty-four".

Divisors: 1 2 4 7 14 28 49 98 103 196 206 389 412 721 778 1442 1556 2707 2723 2884 5047 5414 5446 10094 10828 10892 18949 19061 20188 37898 38122 40067 75796 76244 80134 132643 160268 265286 278821 280469 530572 557642 560938 1053023 1115284 1121876 1951747 1963283 2106046 3903494 3926566 4212092 7371161 7806988 7853132 13662229 14742322 27324458 29484644 51598127 54648916 103196254 108461369 206392508 216922738 433845476 759229583 1518459166 3036918332 5314607081 10629214162 21258428324