Search a number
-
+
10204014688 = 257833831433
BaseRepresentation
bin10011000000011010…
…01110100001100000
3222100010122122122221
421200031032201200
5131344211432223
64404311240424
7510602456650
oct114015164140
928303578587
1010204014688
11436699a29a
121b89379114
13c6804bc1a
146cb2ac360
153eac5bb5d
hex26034e860

10204014688 has 96 divisors (see below), whose sum is σ = 23312572416. Its totient is φ = 4306172928.

The previous prime is 10204014673. The next prime is 10204014727. The reversal of 10204014688 is 88641040201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7120020 + ... + 7121452.

It is an arithmetic number, because the mean of its divisors is an integer number (242839296).

Almost surely, 210204014688 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 10204014688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11656286208).

10204014688 is an abundant number, since it is smaller than the sum of its proper divisors (13108557728).

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

10204014688 is a wasteful number, since it uses less digits than its factorization.

10204014688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1916 (or 1908 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

Adding to 10204014688 its reverse (88641040201), we get a palindrome (98845054889).

The spelling of 10204014688 in words is "ten billion, two hundred four million, fourteen thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 83 112 166 224 332 383 581 664 766 1162 1328 1433 1532 2324 2656 2681 2866 3064 4648 5362 5732 6128 9296 10031 10724 11464 12256 18592 20062 21448 22928 31789 40124 42896 45856 63578 80248 85792 118939 127156 160496 222523 237878 254312 320992 445046 475756 508624 548839 832573 890092 951512 1017248 1097678 1665146 1780184 1903024 2195356 3330292 3560368 3806048 3841873 4390712 6660584 7120736 7683746 8781424 13321168 15367492 17562848 26642336 30734984 45553637 61469968 91107274 122939936 182214548 318875459 364429096 637750918 728858192 1275501836 1457716384 2551003672 5102007344 10204014688