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11987090829 = 3374159157167
BaseRepresentation
bin10110010100111110…
…00111110110001101
31010221101211022022000
423022133013312031
5144022143401304
65301244542513
7603023406450
oct131237076615
933841738260
1011987090829
1150a144483a
1223a6551a39
131190594a6c
1481a01b497
154a2570939
hex2ca7c7d8d

11987090829 has 128 divisors (see below), whose sum is σ = 21405081600. Its totient is φ = 6488501760.

The previous prime is 11987090807. The next prime is 11987090839. The reversal of 11987090829 is 92809078911.

It is not a de Polignac number, because 11987090829 - 29 = 11987090317 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11987090839) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 71778904 + ... + 71779070.

It is an arithmetic number, because the mean of its divisors is an integer number (167227200).

Almost surely, 211987090829 is an apocalyptic number.

It is an amenable number.

11987090829 is a deficient number, since it is larger than the sum of its proper divisors (9417990771).

11987090829 is a wasteful number, since it uses less digits than its factorization.

11987090829 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 54.

The spelling of 11987090829 in words is "eleven billion, nine hundred eighty-seven million, ninety thousand, eight hundred twenty-nine".

Divisors: 1 3 7 9 21 27 41 59 63 123 157 167 177 189 287 369 413 471 501 531 861 1099 1107 1169 1239 1413 1503 1593 2419 2583 3297 3507 3717 4239 4509 6437 6847 7257 7749 9263 9853 9891 10521 11151 16933 19311 20541 21771 26219 27789 29559 29673 31563 45059 47929 50799 57933 61623 64841 65313 68971 78657 83367 88677 135177 143787 152397 173799 183533 184869 194523 206913 235971 250101 266031 379783 403973 405531 431361 457191 550599 583569 620739 707913 1074979 1139349 1211919 1216593 1294083 1546921 1651797 1750707 1862217 2658481 2827811 3224937 3418047 3635757 4640763 4955391 7524853 7975443 8483433 9674811 10254141 10828447 10907271 13922289 22574559 23926329 25450299 29024433 32485341 41766867 63423761 67723677 71778987 76350897 97456023 190271283 203171031 292368069 443966327 570813849 1331898981 1712441547 3995696943 11987090829