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10090238769 = 341317271467
BaseRepresentation
bin10010110010110110…
…01101001100110001
3222001012120020110000
421121123031030301
5131131100120034
64345124500213
7505021420512
oct113133151461
928035506400
1010090238769
114308749806
121b5724a669
13c4a5c3cb0
146ba132a09
153e0c85599
hex2596cd331

10090238769 has 120 divisors (see below), whose sum is σ = 17523874368. Its totient is φ = 5749470720.

The previous prime is 10090238707. The next prime is 10090238789. The reversal of 10090238769 is 96783209001.

10090238769 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10090238769 - 223 = 10081850161 is a prime.

It is a super-2 number, since 2×100902387692 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10090238789) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 21606274 + ... + 21606740.

Almost surely, 210090238769 is an apocalyptic number.

It is an amenable number.

10090238769 is a deficient number, since it is larger than the sum of its proper divisors (7433635599).

10090238769 is a wasteful number, since it uses less digits than its factorization.

10090238769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 10090238769 in words is "ten billion, ninety million, two hundred thirty-eight thousand, seven hundred sixty-nine".

Divisors: 1 3 9 13 17 27 39 51 71 81 117 153 213 221 289 351 459 467 639 663 867 923 1053 1207 1377 1401 1917 1989 2601 2769 3621 3757 4203 5751 5967 6071 7803 7939 8307 10863 11271 12609 15691 17901 18213 20519 23409 23817 24921 32589 33157 33813 37827 47073 54639 61557 71451 74763 97767 99471 101439 103207 134963 141219 163917 184671 214353 266747 298413 304317 309621 404889 423657 431041 491751 554013 563669 643059 800241 895239 928863 1214667 1270971 1293123 1662039 1691007 1754519 2400723 2685717 2786589 3644001 3879369 5073021 5263557 7202169 7327697 8359767 9582373 10932003 11638107 15219063 15790671 21606507 21983091 28747119 34914321 45657189 47372013 65949273 86241357 124570849 142116039 197847819 258724071 373712547 593543457 776172213 1121137641 3363412923 10090238769