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21784470304 = 254161293929
BaseRepresentation
bin10100010010011101…
…001010001100100000
32002020012022202022111
4110102131022030200
5324103311022204
614001352445104
71400560641142
oct242235121440
962205282274
1021784470304
119269846a73
12427b6a9794
1320922bb21c
1410a92b8c92
15877757d04
hex51274a320

21784470304 has 96 divisors (see below), whose sum is σ = 44855097840. Its totient is φ = 10405478400.

The previous prime is 21784470289. The next prime is 21784470317. The reversal of 21784470304 is 40307448712.

It can be written as a sum of positive squares in 8 ways, for example, as 511664400 + 21272805904 = 22620^2 + 145852^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23448912 + ... + 23449840.

Almost surely, 221784470304 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 21784470304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22427548920).

21784470304 is an abundant number, since it is smaller than the sum of its proper divisors (23070627536).

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

21784470304 is a wasteful number, since it uses less digits than its factorization.

21784470304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 40.

The spelling of 21784470304 in words is "twenty-one billion, seven hundred eighty-four million, four hundred seventy thousand, three hundred four".

Divisors: 1 2 4 8 16 32 41 61 82 122 164 244 293 328 488 586 656 929 976 1172 1312 1858 1952 2344 2501 3716 4688 5002 7432 9376 10004 12013 14864 17873 20008 24026 29728 35746 38089 40016 48052 56669 71492 76178 80032 96104 113338 142984 152356 192208 226676 272197 285968 304712 384416 453352 544394 571936 609424 732793 906704 1088788 1218848 1465586 1813408 2177576 2323429 2931172 4355152 4646858 5862344 8710304 9293716 11160077 11724688 16604017 18587432 22320154 23449376 33208034 37174864 44640308 66416068 74349728 89280616 132832136 178561232 265664272 357122464 531328544 680764697 1361529394 2723058788 5446117576 10892235152 21784470304