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29242066095 = 33511173493319
BaseRepresentation
bin11011001110111101…
…101000010010101111
32210110221002212112000
4123032331220102233
5434341432103340
621233354543343
72053434314004
oct331675502257
983427085460
1029242066095
1111446425080
125801137b53
1329b03502b8
1415b590d8ab
15b62310d30
hex6cef684af

29242066095 has 128 divisors (see below), whose sum is σ = 60238080000. Its totient is φ = 13301729280.

The previous prime is 29242066081. The next prime is 29242066111. The reversal of 29242066095 is 59066024292.

It is not a de Polignac number, because 29242066095 - 24 = 29242066079 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 29242066095.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8808846 + ... + 8812164.

It is an arithmetic number, because the mean of its divisors is an integer number (470610000).

Almost surely, 229242066095 is an apocalyptic number.

29242066095 is an abundant number, since it is smaller than the sum of its proper divisors (30996013905).

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

29242066095 is a wasteful number, since it uses less digits than its factorization.

29242066095 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3710 (or 3704 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 29242066095 in words is "twenty-nine billion, two hundred forty-two million, sixty-six thousand, ninety-five".

Divisors: 1 3 5 9 11 15 17 27 33 45 51 55 85 99 135 153 165 187 255 297 349 459 495 561 765 935 1047 1485 1683 1745 2295 2805 3141 3319 3839 5049 5235 5933 8415 9423 9957 11517 15705 16595 17799 19195 25245 29665 29871 34551 36509 47115 49785 53397 56423 57585 65263 88995 89613 103653 109527 149355 160191 169269 172755 182545 195789 266985 282115 326315 328581 448065 507807 518265 547635 587367 620653 800955 846345 978945 985743 1158331 1523421 1642905 1762101 1861959 2539035 2936835 3103265 3474993 4928715 5585877 5791655 7617105 8810505 9309795 10424979 12741641 16757631 17374965 19691627 27929385 31274937 38224923 52124895 59074881 63708205 83788155 98458135 114674769 156374685 177224643 191124615 216607897 295374405 344024307 531673929 573373845 649823691 886123215 1083039485 1720121535 1949471073 2658369645 3249118455 5848413219 9747355365 29242066095