Search a number
-
+
10545091392 = 2631110746663
BaseRepresentation
bin10011101001000100…
…10101001101000000
31000012220110010221110
421310202111031000
5133044020411032
64502213523320
7522213540453
oct116442251500
930186403843
1010545091392
11452147a270
122063643540
13cc08cc664
147206d549a
1541ab817cc
hex274895340

10545091392 has 112 divisors (see below), whose sum is σ = 30722084352. Its totient is φ = 3165550080.

The previous prime is 10545091387. The next prime is 10545091433. The reversal of 10545091392 is 29319054501.

It is a super-2 number, since 2×105450913922 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10545091392.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 202653 + ... + 249315.

Almost surely, 210545091392 is an apocalyptic number.

10545091392 is a gapful number since it is divisible by the number (12) 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 10545091392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15361042176).

10545091392 is an abundant number, since it is smaller than the sum of its proper divisors (20176992960).

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

10545091392 is a wasteful number, since it uses less digits than its factorization.

10545091392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46796 (or 46786 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 39.

The spelling of 10545091392 in words is "ten billion, five hundred forty-five million, ninety-one thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 107 132 176 192 214 264 321 352 428 528 642 704 856 1056 1177 1284 1712 2112 2354 2568 3424 3531 4708 5136 6848 7062 9416 10272 14124 18832 20544 28248 37664 46663 56496 75328 93326 112992 139989 186652 225984 279978 373304 513293 559956 746608 1026586 1119912 1493216 1539879 2053172 2239824 2986432 3079758 4106344 4479648 4992941 6159516 8212688 8959296 9985882 12319032 14978823 16425376 19971764 24638064 29957646 32850752 39943528 49276128 54922351 59915292 79887056 98552256 109844702 119830584 159774112 164767053 219689404 239661168 319548224 329534106 439378808 479322336 659068212 878757616 958644672 1318136424 1757515232 2636272848 3515030464 5272545696 10545091392