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23844301056 = 283232172
BaseRepresentation
bin10110001101001110…
…110010100100000000
32021112202020222220100
4112031032302210000
5342313120113211
614542014042400
71502612133462
oct261516624400
967482228810
1023844301056
11a126539334
1247554a9400
13232cc834a4
141222aaa132
159484d8156
hex58d3b2900

23844301056 has 81 divisors (see below), whose sum is σ = 68770375401. Its totient is φ = 7945629696.

The previous prime is 23844301051. The next prime is 23844301057. The reversal of 23844301056 is 65010344832.

The square root of 23844301056 is 154416.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 21503289600 + 2341011456 = 146640^2 + 48384^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 23844301056.

It is not an unprimeable number, because it can be changed into a prime (23844301051) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7410360 + ... + 7413576.

Almost surely, 223844301056 is an apocalyptic number.

23844301056 is the 154416-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23844301056

23844301056 is an abundant number, since it is smaller than the sum of its proper divisors (44926074345).

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

23844301056 is an frugal number, since it uses more digits than its factorization.

23844301056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6456 (or 3222 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Multiplying 23844301056 by its sum of digits (36), we get a square (858394838016 = 9264962).

23844301056 divided by its sum of digits (36) gives a square (662341696 = 257362).

Adding to 23844301056 its reverse (65010344832), we get a palindrome (88854645888).

It can be divided in two parts, 23844 and 301056, that added together give a square (324900 = 5702).

The spelling of 23844301056 in words is "twenty-three billion, eight hundred forty-four million, three hundred one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 3217 6434 9651 12868 19302 25736 28953 38604 51472 57906 77208 102944 115812 154416 205888 231624 308832 411776 463248 617664 823552 926496 1235328 1852992 2470656 3705984 7411968 10349089 20698178 31047267 41396356 62094534 82792712 93141801 124189068 165585424 186283602 248378136 331170848 372567204 496756272 662341696 745134408 993512544 1324683392 1490268816 1987025088 2649366784 2980537632 3974050176 5961075264 7948100352 11922150528 23844301056