Search a number
-
+
1233450652968 = 2332711451166289
BaseRepresentation
bin10001111100101111011…
…000110101010100101000
311100220202022000100100100
4101330233120311110220
5130202101331343333
62342350040105400
7155054025363432
oct21745730652450
94326668010310
101233450652968
11436115812836
1217b074165260
138c41082c2a1
14439b0d67652
1522141725213
hex11f2f635528

1233450652968 has 96 divisors (see below), whose sum is σ = 3390001243200. Its totient is φ = 405077568000.

The previous prime is 1233450652933. The next prime is 1233450652979. The reversal of 1233450652968 is 8692560543321.

It is a happy number.

1233450652968 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 4 + 50 + 6 + 529 + 68 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7334368 + ... + 7500656.

It is an arithmetic number, because the mean of its divisors is an integer number (35312512950).

Almost surely, 21233450652968 is an apocalyptic number.

1233450652968 is a gapful number since it is divisible by the number (18) 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 1233450652968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1695000621600).

1233450652968 is an abundant number, since it is smaller than the sum of its proper divisors (2156550590232).

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

1233450652968 is a wasteful number, since it uses less digits than its factorization.

1233450652968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167823 (or 167816 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 1233450652968 in words is "one trillion, two hundred thirty-three billion, four hundred fifty million, six hundred fifty-two thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 71 72 142 213 284 426 568 639 852 1278 1451 1704 2556 2902 4353 5112 5804 8706 11608 13059 17412 26118 34824 52236 103021 104472 166289 206042 309063 332578 412084 498867 618126 665156 824168 927189 997734 1236252 1330312 1496601 1854378 1995468 2472504 2993202 3708756 3990936 5986404 7417512 11806519 11972808 23613038 35419557 47226076 70839114 94452152 106258671 141678228 212517342 241285339 283356456 425034684 482570678 723856017 850069368 965141356 1447712034 1930282712 2171568051 2895424068 4343136102 5790848136 8686272204 17131259069 17372544408 34262518138 51393777207 68525036276 102787554414 137050072552 154181331621 205575108828 308362663242 411150217656 616725326484 1233450652968