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21478596930 = 2335719598123
BaseRepresentation
bin10100000000001110…
…010110000101000010
32001102212202202221000
4110000032112011002
5322442010100210
613511144512430
71360155030060
oct240016260502
961385682830
1021478596930
11912212085a
1241b517b716
132043b14c6b
14107a817030
1585a988ac0
hex500396142

21478596930 has 128 divisors (see below), whose sum is σ = 68903884800. Its totient is φ = 4650996672.

The previous prime is 21478596929. The next prime is 21478596959. The reversal of 21478596930 is 3969587412.

21478596930 is a `hidden beast` number, since 2 + 1 + 47 + 8 + 596 + 9 + 3 + 0 = 666.

It is a super-2 number, since 2×214785969302 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 263152 + ... + 334971.

It is an arithmetic number, because the mean of its divisors is an integer number (538311600).

It is a 2-persistent number, because it is pandigital, and so is 2⋅21478596930 = 42957193860, but 3⋅21478596930 = 64435790790 is not.

Almost surely, 221478596930 is an apocalyptic number.

21478596930 is an abundant number, since it is smaller than the sum of its proper divisors (47425287870).

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

21478596930 is a wasteful number, since it uses less digits than its factorization.

21478596930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598165 (or 598159 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 21478596930 in words is "twenty-one billion, four hundred seventy-eight million, five hundred ninety-six thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 19 21 27 30 35 38 42 45 54 57 63 70 90 95 105 114 126 133 135 171 189 190 210 266 270 285 315 342 378 399 513 570 630 665 798 855 945 1026 1197 1330 1710 1890 1995 2394 2565 3591 3990 5130 5985 7182 11970 17955 35910 598123 1196246 1794369 2990615 3588738 4186861 5383107 5981230 8373722 8971845 10766214 11364337 12560583 16149321 17943690 20934305 22728674 25121166 26915535 32298642 34093011 37681749 41868610 53831070 56821685 62802915 68186022 75363498 79550359 80746605 102279033 113045247 113643370 125605830 159100718 161493210 170465055 188408745 204558066 226090494 238651077 306837099 340930110 376817490 397751795 477302154 511395165 565226235 613674198 715953231 795503590 1022790330 1130452470 1193255385 1431906462 1534185495 2147859693 2386510770 3068370990 3579766155 4295719386 7159532310 10739298465 21478596930