Search a number
-
+
10066643235 = 32511101271743
BaseRepresentation
bin10010110000000010…
…01100100100100011
3221222120011110110100
421120001030210203
5131104030040420
64342523033443
7504314025045
oct113001144443
927876143410
1010066643235
1142a63a3070
121b4b36b883
13c4575213c
146b6d4da95
153ddb74190
hex25804c923

10066643235 has 96 divisors (see below), whose sum is σ = 19320477696. Its totient is φ = 4808160000.

The previous prime is 10066643227. The next prime is 10066643261. The reversal of 10066643235 is 53234666001.

It is not a de Polignac number, because 10066643235 - 23 = 10066643227 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 10066643235.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13548274 + ... + 13549016.

It is an arithmetic number, because the mean of its divisors is an integer number (201254976).

Almost surely, 210066643235 is an apocalyptic number.

10066643235 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10066643235 is a deficient number, since it is larger than the sum of its proper divisors (9253834461).

10066643235 is a wasteful number, since it uses less digits than its factorization.

10066643235 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 10066643235 in words is "ten billion, sixty-six million, six hundred forty-three thousand, two hundred thirty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 101 165 271 303 495 505 743 813 909 1111 1355 1515 2229 2439 2981 3333 3715 4065 4545 5555 6687 8173 8943 9999 11145 12195 14905 16665 24519 26829 27371 33435 40865 44715 49995 73557 75043 82113 122595 134145 136855 201353 225129 246339 301081 367785 375215 410565 604059 675387 825473 903243 1006765 1125645 1231695 1505405 1812177 2214883 2476419 2709729 3020295 3376935 4127365 4516215 6644649 7429257 9060885 11074415 12382095 13548645 19933947 20336653 33223245 37146285 61009959 99669735 101683265 183029877 223703183 305049795 671109549 915149385 1118515915 2013328647 3355547745 10066643235