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9043429164 = 22371121946829
BaseRepresentation
bin10000110110000011…
…11100011100101100
3212100020210210121220
420123001330130230
5122010104213124
64053212023340
7440050610460
oct103301743454
925306723556
109043429164
113920864200
121904761b50
13b11777923
1461b0bc4a0
1537de09879
hex21b07c72c

9043429164 has 144 divisors (see below), whose sum is σ = 27903187200. Its totient is φ = 2225266560.

The previous prime is 9043429159. The next prime is 9043429169. The reversal of 9043429164 is 4619243409.

It is an interprime number because it is at equal distance from previous prime (9043429159) and next prime (9043429169).

It is a super-2 number, since 2×90434291642 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (9043429169) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 169702 + ... + 216530.

Almost surely, 29043429164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9043429164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13951593600).

9043429164 is an abundant number, since it is smaller than the sum of its proper divisors (18859758036).

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

9043429164 is a wasteful number, since it uses less digits than its factorization.

9043429164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46884 (or 46871 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 9043429164 is about 95096.9461339322. The cubic root of 9043429164 is about 2083.4242447169.

The spelling of 9043429164 in words is "nine billion, forty-three million, four hundred twenty-nine thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 11 12 14 19 21 22 28 33 38 42 44 57 66 76 77 84 114 121 132 133 154 209 228 231 242 266 308 363 399 418 462 484 532 627 726 798 836 847 924 1254 1452 1463 1596 1694 2299 2508 2541 2926 3388 4389 4598 5082 5852 6897 8778 9196 10164 13794 16093 17556 27588 32186 46829 48279 64372 93658 96558 140487 187316 193116 280974 327803 515119 561948 655606 889751 983409 1030238 1311212 1545357 1779502 1966818 2060476 2669253 3090714 3559004 3605833 3933636 5338506 5666309 6181428 6228257 7211666 9787261 10677012 10817499 11332618 12456514 14423332 16998927 18684771 19574522 21634998 22665236 24913028 29361783 33997854 37369542 39149044 39664163 43269996 58723566 67995708 68510827 74739084 79328326 107659871 117447132 118992489 137021654 158656652 205532481 215319742 237984978 274043308 322979613 411064962 430639484 475969956 645959226 753619097 822129924 1291918452 1507238194 2260857291 3014476388 4521714582 9043429164