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21140959905 = 36513676659
BaseRepresentation
bin10011101100000110…
…010111001010100001
32000120100110001000000
4103230012113022201
5321244041204110
613413444050213
71345615123422
oct235406271241
960510401000
1021140959905
118a6958009a
124120093969
131cbbb9a040
141047a47649
1583aee31c0
hex4ec1972a1

21140959905 has 112 divisors (see below), whose sum is σ = 41579818560. Its totient is φ = 10250976384.

The previous prime is 21140959897. The next prime is 21140959921. The reversal of 21140959905 is 50995904112.

21140959905 is a `hidden beast` number, since 2 + 11 + 40 + 9 + 599 + 0 + 5 = 666.

It is not a de Polignac number, because 21140959905 - 23 = 21140959897 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 3171466 + ... + 3178124.

It is an arithmetic number, because the mean of its divisors is an integer number (371248380).

Almost surely, 221140959905 is an apocalyptic number.

It is an amenable number.

21140959905 is a deficient number, since it is larger than the sum of its proper divisors (20438858655).

21140959905 is an equidigital number, since it uses as much as digits as its factorization.

21140959905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6762 (or 6747 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 45.

The spelling of 21140959905 in words is "twenty-one billion, one hundred forty million, nine hundred fifty-nine thousand, nine hundred five".

Divisors: 1 3 5 9 13 15 27 39 45 65 67 81 117 135 195 201 243 335 351 405 585 603 729 871 1005 1053 1215 1755 1809 2613 3015 3159 3645 4355 5265 5427 6659 7839 9045 9477 13065 15795 16281 19977 23517 27135 33295 39195 47385 48843 59931 70551 81405 86567 99885 117585 179793 211653 244215 259701 299655 352755 432835 446153 539379 634959 779103 898965 1058265 1298505 1338459 1618137 2230765 2337309 2696895 3174795 3895515 4015377 4854411 5799989 6692295 7011927 8090685 11686545 12046131 17399967 20076885 21035781 24272055 28999945 35059635 36138393 52199901 60230655 63107343 86999835 105178905 108415179 156599703 180691965 260999505 315536715 325245537 469799109 542075895 782998515 1409397327 1626227685 2348995545 4228191981 7046986635 21140959905