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21424520304 = 24331118472441
BaseRepresentation
bin10011111101000000…
…000011110001110000
32001022010000101202000
4103331000003301300
5322334134122204
613501533454000
71355630263215
oct237500036160
961263011660
1021424520304
1190a4646230
12419b041300
132035860165
14107357bb0c
15855d56039
hex4fd003c70

21424520304 has 160 divisors (see below), whose sum is σ = 67150702080. Its totient is φ = 6486105600.

The previous prime is 21424520231. The next prime is 21424520339. The reversal of 21424520304 is 40302542412.

21424520304 is a `hidden beast` number, since 214 + 245 + 203 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8775724 + ... + 8778164.

It is an arithmetic number, because the mean of its divisors is an integer number (419691888).

Almost surely, 221424520304 is an apocalyptic number.

21424520304 is a gapful number since it is divisible by the number (24) 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 21424520304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33575351040).

21424520304 is an abundant number, since it is smaller than the sum of its proper divisors (45726181776).

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

21424520304 is a wasteful number, since it uses less digits than its factorization.

21424520304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4316 (or 4304 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The spelling of 21424520304 in words is "twenty-one billion, four hundred twenty-four million, five hundred twenty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1584 1847 2376 2441 3694 4752 4882 5541 7323 7388 9764 11082 14646 14776 16623 19528 20317 21969 22164 26851 29292 29552 33246 39056 40634 43938 44328 49869 53702 58584 60951 65907 66492 80553 81268 87876 88656 99738 107404 117168 121902 131814 132984 161106 162536 175752 182853 199476 214808 241659 243804 263628 265968 322212 325072 351504 365706 398952 429616 483318 487608 527256 548559 644424 724977 731412 797904 966636 975216 1054512 1097118 1288848 1449954 1462824 1933272 2194236 2899908 2925648 3866544 4388472 4508527 5799816 8776944 9017054 11599632 13525581 18034108 27051162 36068216 40576743 49593797 54102324 72136432 81153486 99187594 108204648 121730229 148781391 162306972 198375188 216409296 243460458 297562782 324613944 396750376 446344173 486920916 595125564 649227888 793500752 892688346 973841832 1190251128 1339032519 1785376692 1947683664 2380502256 2678065038 3570753384 5356130076 7141506768 10712260152 21424520304