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20762504464 = 241321721632
BaseRepresentation
bin10011010101100010…
…101010110100010000
31222120222022111201211
4103111202222310100
5320010200120324
613312124305504
71333341242662
oct232542526420
958528274654
1020762504464
11889498a9a9
1240353a2294
131c5b65cc00
14100d690532
15817b88294
hex4d58aad10

20762504464 has 135 divisors (see below), whose sum is σ = 46558486863. Its totient is φ = 8963675136.

The previous prime is 20762504461. The next prime is 20762504473. The reversal of 20762504464 is 46440526702.

The square root of 20762504464 is 144092.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 187470864 + 20575033600 = 13692^2 + 143440^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20762504461) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 127377247 + ... + 127377409.

Almost surely, 220762504464 is an apocalyptic number.

20762504464 is the 144092-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20762504464

20762504464 is an abundant number, since it is smaller than the sum of its proper divisors (25795982399).

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

20762504464 is a wasteful number, since it uses less digits than its factorization.

20762504464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 40.

The spelling of 20762504464 in words is "twenty billion, seven hundred sixty-two million, five hundred four thousand, four hundred sixty-four".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 163 169 208 221 272 289 326 338 442 578 652 676 884 1156 1304 1352 1768 2119 2312 2608 2704 2771 2873 3536 3757 4238 4624 5542 5746 7514 8476 11084 11492 15028 16952 22168 22984 26569 27547 30056 33904 36023 44336 45968 47107 48841 53138 55094 60112 72046 94214 97682 106276 110188 144092 188428 195364 212552 220376 288184 345397 376856 390728 425104 440752 451673 468299 576368 612391 690794 753712 781456 903346 936598 1224782 1381588 1806692 1873196 2449564 2763176 3613384 3746392 4490161 4899128 5526352 5871749 7226768 7492784 7678441 7961083 8980322 9798256 11743498 15356882 15922166 17960644 23486996 30713764 31844332 35921288 46973992 61427528 63688664 71842576 76332737 93947984 99819733 122855056 127377328 152665474 199639466 305330948 399278932 610661896 798557864 1221323792 1297656529 1597115728 2595313058 5190626116 10381252232 20762504464