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21650148432784 = 2437214922112
BaseRepresentation
bin1001110110000110100010…
…11010000001101110010000
32211122201211001212022202101
410323003101122001232100
510314204000444322114
6114013535121530144
74363112601203224
oct473032132015620
984581731768671
1021650148432784
11699785a4102a3
122517b3aaa3954
13c107a594a231
1454bc30c76784
15278283d7ed74
hex13b0d1681b90

21650148432784 has 135 divisors (see below), whose sum is σ = 43609466602611. Its totient is φ = 10412234622720.

The previous prime is 21650148432779. The next prime is 21650148432793. The reversal of 21650148432784 is 48723484105612.

The square root of 21650148432784 is 4652972.

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 7853504400 + 21642294928384 = 88620^2 + 4652128^2 .

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 102607338439 + ... + 102607338649.

Almost surely, 221650148432784 is an apocalyptic number.

21650148432784 is the 4652972-nd square number.

It is an amenable number.

21650148432784 is an abundant number, since it is smaller than the sum of its proper divisors (21959318169827).

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

21650148432784 is an frugal number, since it uses more digits than its factorization.

21650148432784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 55.

The spelling of 21650148432784 in words is "twenty-one trillion, six hundred fifty billion, one hundred forty-eight million, four hundred thirty-two thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 16 37 74 148 149 211 296 298 422 592 596 844 1192 1369 1688 2384 2738 3376 5476 5513 7807 10952 11026 15614 21904 22052 22201 31228 31439 44104 44402 44521 62456 62878 88208 88804 89042 124912 125756 177608 178084 203981 251512 288859 355216 356168 407962 503024 577718 712336 815924 821437 1155436 1163243 1631848 1642874 1647277 2310872 2326486 3263696 3285748 3294554 4621744 4652972 4684411 6571496 6589108 6633629 9305944 9368822 13142992 13178216 13267258 18611888 18737644 26356432 26534516 30393169 37475288 43039991 53069032 60786338 60949249 74950576 86079982 106138064 121572676 121898498 172159964 173323207 243145352 243796996 245444273 344319928 346646414 486290704 487593992 490888546 688639856 693292828 975187984 981777092 988410721 1386585656 1963554184 1976821442 2773171312 3927108368 3953642884 6412958659 7907285768 9081438101 12825917318 15814571536 18162876202 25651834636 36325752404 36571196677 51303669272 72651504808 73142393354 102607338544 145303009616 146284786708 292569573416 585139146832 1353134277049 2706268554098 5412537108196 10825074216392 21650148432784