Search a number
-
+
10069640000 = 2654735963
BaseRepresentation
bin10010110000011001…
…01000001101000000
3221222202210201020122
421120030220031000
5131110311440000
64343111155412
7504351346010
oct113014501500
927882721218
1010069640000
1142a805a632
121b50375b68
13c46261184
146b74cdc40
153de067085
hex258328340

10069640000 has 140 divisors (see below), whose sum is σ = 28537290144. Its totient is φ = 3452352000.

The previous prime is 10069639997. The next prime is 10069640017. The reversal of 10069640000 is 4696001.

It is a tau number, because it is divible by the number of its divisors (140).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 262019 + ... + 297981.

Almost surely, 210069640000 is an apocalyptic number.

10069640000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10069640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14268645072).

10069640000 is an abundant number, since it is smaller than the sum of its proper divisors (18467650144).

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

10069640000 is an frugal number, since it uses more digits than its factorization.

10069640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36002 (or 35977 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The spelling of 10069640000 in words is "ten billion, sixty-nine million, six hundred forty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 140 160 175 200 224 250 280 320 350 400 448 500 560 625 700 800 875 1000 1120 1250 1400 1600 1750 2000 2240 2500 2800 3500 4000 4375 5000 5600 7000 8000 8750 10000 11200 14000 17500 20000 28000 35000 35963 40000 56000 70000 71926 140000 143852 179815 251741 280000 287704 359630 503482 575408 719260 899075 1006964 1150816 1258705 1438520 1798150 2013928 2301632 2517410 2877040 3596300 4027856 4495375 5034820 5754080 6293525 7192600 8055712 8990750 10069640 11508160 12587050 14385200 16111424 17981500 20139280 22476875 25174100 28770400 31467625 35963000 40278560 44953750 50348200 57540800 62935250 71926000 80557120 89907500 100696400 125870500 143852000 157338125 179815000 201392800 251741000 287704000 314676250 359630000 402785600 503482000 629352500 719260000 1006964000 1258705000 1438520000 2013928000 2517410000 5034820000 10069640000