Search a number
-
+
10058694791010 = 2355359613174917
BaseRepresentation
bin1001001001011111100011…
…1011100000111101100010
31022121121020201211120102220
42102113320323200331202
52304300201331303020
633220522310051510
72055500556005055
oct222277073407542
938547221746386
1010058694791010
113228960a86268
121165538649b96
1357c6b93757a8
1426abb4506a9c
151269b2cc7240
hex925f8ee0f62

10058694791010 has 128 divisors (see below), whose sum is σ = 25054190818560. Its totient is φ = 2582868427776.

The previous prime is 10058694791009. The next prime is 10058694791087. The reversal of 10058694791010 is 1019749685001.

It is a super-3 number, since 3×100586947910103 (a number of 40 digits) contains 333 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57418072 + ... + 57592988.

It is an arithmetic number, because the mean of its divisors is an integer number (195735865770).

Almost surely, 210058694791010 is an apocalyptic number.

10058694791010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10058694791010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12527095409280).

10058694791010 is an abundant number, since it is smaller than the sum of its proper divisors (14995496027550).

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

10058694791010 is a wasteful number, since it uses less digits than its factorization.

10058694791010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175652.

The product of its (nonzero) digits is 544320, while the sum is 51.

The spelling of 10058694791010 in words is "ten trillion, fifty-eight billion, six hundred ninety-four million, seven hundred ninety-one thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 53 59 106 118 159 177 265 295 318 354 530 590 613 795 885 1226 1590 1770 1839 3065 3127 3678 6130 6254 9195 9381 15635 18390 18762 31270 32489 36167 46905 64978 72334 93810 97467 108501 162445 174917 180835 194934 217002 324890 349834 361670 487335 524751 542505 874585 974670 1049502 1085010 1749170 1916851 2623755 3833702 5247510 5750553 9270601 9584255 10320103 11501106 18541202 19168510 20640206 27811803 28752765 30960309 46353005 51600515 55623606 57505530 61920618 92706010 103201030 107224121 139059015 154801545 214448242 278118030 309603090 321672363 536120605 546965459 643344726 1072241210 1093930918 1608361815 1640896377 2734827295 3216723630 3281792754 5469654590 5682878413 6326223139 8204481885 11365756826 12652446278 16408963770 17048635239 18978669417 28414392065 31631115695 34097270478 37957338834 56828784130 63262231390 85243176195 94893347085 170486352390 189786694170 335289826367 670579652734 1005869479101 1676449131835 2011738958202 3352898263670 5029347395505 10058694791010