Search a number
-
+
10423051056 = 2433117130893
BaseRepresentation
bin10011011010100001…
…10010001100110000
3222220101210212002000
421231100302030300
5132321300113211
64442134054000
7516202320645
oct115520621460
928811725060
1010423051056
1144695a4590
12202a7aa300
13ca153cb42
1470c407dcc
154100c6656
hex26d432330

10423051056 has 160 divisors (see below), whose sum is σ = 33098595840. Its totient is φ = 3113913600.

The previous prime is 10423051039. The next prime is 10423051057. The reversal of 10423051056 is 65015032401.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10423051057) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 321946 + ... + 352838.

It is an arithmetic number, because the mean of its divisors is an integer number (206866224).

Almost surely, 210423051056 is an apocalyptic number.

10423051056 is a gapful number since it is divisible by the number (16) 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 10423051056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16549297920).

10423051056 is an abundant number, since it is smaller than the sum of its proper divisors (22675544784).

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

10423051056 is a wasteful number, since it uses less digits than its factorization.

10423051056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30992 (or 30980 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 10423051056 its reverse (65015032401), we get a palindrome (75438083457).

The spelling of 10423051056 in words is "ten billion, four hundred twenty-three million, fifty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 71 72 88 99 108 132 142 144 176 198 213 216 264 284 297 396 426 432 528 568 594 639 781 792 852 1136 1188 1278 1562 1584 1704 1917 2343 2376 2556 3124 3408 3834 4686 4752 5112 6248 7029 7668 9372 10224 12496 14058 15336 18744 21087 28116 30672 30893 37488 42174 56232 61786 84348 92679 112464 123572 168696 185358 247144 278037 337392 339823 370716 494288 556074 679646 741432 834111 1019469 1112148 1359292 1482864 1668222 2038938 2193403 2224296 2718584 3058407 3336444 4077876 4386806 4448592 5437168 6116814 6580209 6672888 8155752 8773612 9175221 12233628 13160418 13345776 16311504 17547224 18350442 19740627 24127433 24467256 26320836 35094448 36700884 39481254 48254866 48934512 52641672 59221881 72382299 73401768 78962508 96509732 105283344 118443762 144764598 146803536 157925016 193019464 217146897 236887524 289529196 315850032 386038928 434293794 473775048 579058392 651440691 868587588 947550096 1158116784 1302881382 1737175176 2605762764 3474350352 5211525528 10423051056