Search a number
-
+
23648357068 = 22721931792593
BaseRepresentation
bin10110000001100011…
…010100101011001100
32021001002120000021121
4112001203110223030
5341412434411233
614510334210324
71465012501300
oct260143245314
967032500247
1023648357068
11a035976756
1246bb9539a4
1322cb4b93bb
141204a61d00
159361d092d
hex5818d4acc

23648357068 has 144 divisors (see below), whose sum is σ = 52992307200. Its totient is φ = 9170703360.

The previous prime is 23648357041. The next prime is 23648357071. The reversal of 23648357068 is 86075384632.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9118780 + ... + 9121372.

Almost surely, 223648357068 is an apocalyptic number.

23648357068 is a gapful number since it is divisible by the number (28) 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 23648357068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26496153600).

23648357068 is an abundant number, since it is smaller than the sum of its proper divisors (29343950132).

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

23648357068 is a wasteful number, since it uses less digits than its factorization.

23648357068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2740 (or 2731 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 52.

The spelling of 23648357068 in words is "twenty-three billion, six hundred forty-eight million, three hundred fifty-seven thousand, sixty-eight".

Divisors: 1 2 4 7 14 19 28 31 38 49 62 76 79 98 124 133 158 196 217 266 316 434 532 553 589 868 931 1106 1178 1501 1519 1862 2212 2356 2449 2593 3002 3038 3724 3871 4123 4898 5186 6004 6076 7742 8246 9796 10372 10507 15484 16492 17143 18151 21014 28861 34286 36302 42028 46531 49267 57722 68572 72604 73549 80383 93062 98534 115444 120001 127057 147098 160766 186124 197068 204847 240002 254114 294196 321532 325717 344869 409694 480004 508228 562681 651434 689738 819388 1125362 1302868 1379476 1433929 1527277 2250724 2280019 2414083 2867858 3054554 3892093 3938767 4560038 4828166 5735716 6109108 6350257 7784186 7877534 9120076 9656332 10037503 10690939 12700514 15568372 15755068 20075006 21381878 25401028 27244651 40150012 42763756 44451799 54489302 74836573 88903598 108978604 120654883 149673146 177807196 190712557 241309766 299346292 311162593 381425114 482619532 622325186 762850228 844584181 1244650372 1689168362 3378336724 5912089267 11824178534 23648357068