Search a number
-
+
10059869295 = 325731934303
BaseRepresentation
bin10010101111001110…
…10110110001101111
3221222002102022100200
421113213112301233
5131100311304140
64342121524543
7504202323000
oct112747266157
927862368320
1010059869295
1142a2596773
121b49043753
13c4421caa8
146b60a91a7
153dd287030
hex2579d6c6f

10059869295 has 96 divisors (see below), whose sum is σ = 21405696000. Its totient is φ = 4356628416.

The previous prime is 10059869291. The next prime is 10059869297. The reversal of 10059869295 is 59296895001.

It is not a de Polignac number, because 10059869295 - 22 = 10059869291 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10059869291) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 276114 + ... + 310416.

It is an arithmetic number, because the mean of its divisors is an integer number (222976000).

Almost surely, 210059869295 is an apocalyptic number.

10059869295 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10059869295 is an abundant number, since it is smaller than the sum of its proper divisors (11345826705).

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

10059869295 is a wasteful number, since it uses less digits than its factorization.

10059869295 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34354 (or 34337 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 54.

The spelling of 10059869295 in words is "ten billion, fifty-nine million, eight hundred sixty-nine thousand, two hundred ninety-five".

Divisors: 1 3 5 7 9 15 19 21 35 45 49 57 63 95 105 133 147 171 245 285 315 343 399 441 665 735 855 931 1029 1197 1715 1995 2205 2793 3087 4655 5145 5985 6517 8379 13965 15435 19551 32585 34303 41895 58653 97755 102909 171515 240121 293265 308727 514545 651757 720363 1200605 1543635 1680847 1955271 2161089 3258785 3601815 4562299 5042541 5865813 8404235 9776355 10805445 11765929 13686897 15127623 22811495 25212705 29329065 31936093 35297787 41060691 58829645 68434485 75638115 95808279 105893361 159680465 176488935 205303455 223552651 287424837 479041395 529466805 670657953 1117763255 1437124185 2011973859 3353289765 10059869295