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21978478458 = 232174310316217
BaseRepresentation
bin10100011110000001…
…001111011101111010
32002201201101101110200
4110132001033131322
5330002442302313
614032523023030
71405434661446
oct243601173572
962651341420
1021978478458
119359307192
12431466aa76
1320c3558151
1410c6d7b826
158897cbb73
hex51e04f77a

21978478458 has 96 divisors (see below), whose sum is σ = 52097924736. Its totient is φ = 6669057024.

The previous prime is 21978478451. The next prime is 21978478463. The reversal of 21978478458 is 85487487912.

21978478458 is a `hidden beast` number, since 21 + 97 + 8 + 4 + 78 + 458 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 21978478395 and 21978478404.

It is not an unprimeable number, because it can be changed into a prime (21978478451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1347166 + ... + 1363382.

It is an arithmetic number, because the mean of its divisors is an integer number (542686716).

Almost surely, 221978478458 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21978478458, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26048962368).

21978478458 is an abundant number, since it is smaller than the sum of its proper divisors (30119446278).

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

21978478458 is a wasteful number, since it uses less digits than its factorization.

21978478458 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16388 (or 16385 counting only the distinct ones).

The product of its digits is 36126720, while the sum is 63.

The spelling of 21978478458 in words is "twenty-one billion, nine hundred seventy-eight million, four hundred seventy-eight thousand, four hundred fifty-eight".

Divisors: 1 2 3 6 9 17 18 34 43 51 86 102 103 129 153 206 258 306 309 387 618 731 774 927 1462 1751 1854 2193 3502 4386 4429 5253 6579 8858 10506 13158 13287 15759 16217 26574 31518 32434 39861 48651 75293 79722 97302 145953 150586 225879 275689 291906 451758 551378 677637 697331 827067 1355274 1394662 1654134 1670351 2091993 2481201 3340702 4183986 4962402 5011053 6275979 10022106 11854627 12551958 15033159 23709254 28395967 30066318 35563881 56791934 71127762 71825093 85187901 106691643 143650186 170375802 213383286 215475279 255563703 430950558 511127406 646425837 1221026581 1292851674 2442053162 3663079743 7326159486 10989239229 21978478458