Search a number
-
+
23445886968 = 2333770921871
BaseRepresentation
bin10101110101011110…
…111101011111111000
32020111222120110112000
4111311132331133320
5341004121340333
614434302421000
71460003515410
oct256536753770
966458513460
1023445886968
119a41656999
124663b91760
1322985789ca
1411c5bd9640
15923539713
hex5757bd7f8

23445886968 has 128 divisors (see below), whose sum is σ = 74539776000. Its totient is φ = 6689070720.

The previous prime is 23445886949. The next prime is 23445886979. The reversal of 23445886968 is 86968854432.

23445886968 is a `hidden beast` number, since 2 + 3 + 44 + 588 + 6 + 9 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1061073 + ... + 1082943.

It is an arithmetic number, because the mean of its divisors is an integer number (582342000).

Almost surely, 223445886968 is an apocalyptic number.

23445886968 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 23445886968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37269888000).

23445886968 is an abundant number, since it is smaller than the sum of its proper divisors (51093889032).

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

23445886968 is a wasteful number, since it uses less digits than its factorization.

23445886968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22602 (or 22592 counting only the distinct ones).

The product of its digits is 79626240, while the sum is 63.

The spelling of 23445886968 in words is "twenty-three billion, four hundred forty-five million, eight hundred eighty-six thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 709 756 1418 1512 2127 2836 4254 4963 5672 6381 8508 9926 12762 14889 17016 19143 19852 21871 25524 29778 38286 39704 43742 44667 51048 59556 65613 76572 87484 89334 119112 131226 134001 153097 153144 174968 178668 196839 262452 268002 306194 357336 393678 459291 524904 536004 590517 612388 787356 918582 1072008 1181034 1224776 1377873 1574712 1837164 2362068 2755746 3674328 4133619 4724136 5511492 8267238 11022984 15506539 16534476 31013078 33068952 46519617 62026156 93039234 108545773 124052312 139558851 186078468 217091546 279117702 325637319 372156936 418676553 434183092 558235404 651274638 837353106 868366184 976911957 1116470808 1302549276 1674706212 1953823914 2605098552 2930735871 3349412424 3907647828 5861471742 7815295656 11722943484 23445886968