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239104856664 = 23331123985723
BaseRepresentation
bin1101111010101111000…
…0101001001001011000
3211212011121222020012000
43132223300221021120
512404141320403124
6301502050521000
723163145514322
oct3365360511130
9755147866160
10239104856664
1192449504863
123a40b896160
1319716ab880b
14b803838612
15634658d6c9
hex37abc29258

239104856664 has 64 divisors (see below), whose sum is σ = 664772265600. Its totient is φ = 79630566048.

The previous prime is 239104856633. The next prime is 239104856671. The reversal of 239104856664 is 466658401932.

239104856664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2391048566642 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 239104856664.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 250294 + ... + 735429.

It is an arithmetic number, because the mean of its divisors is an integer number (10387066650).

Almost surely, 2239104856664 is an apocalyptic number.

239104856664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

239104856664 is an abundant number, since it is smaller than the sum of its proper divisors (425667408936).

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

239104856664 is a wasteful number, since it uses less digits than its factorization.

239104856664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986861 (or 986851 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 239104856664 in words is "two hundred thirty-nine billion, one hundred four million, eight hundred fifty-six thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 1123 2246 3369 4492 6738 8984 10107 13476 20214 26952 30321 40428 60642 80856 121284 242568 985723 1971446 2957169 3942892 5914338 7885784 8871507 11828676 17743014 23657352 26614521 35486028 53229042 70972056 106458084 212916168 1106966929 2213933858 3320900787 4427867716 6641801574 8855735432 9962702361 13283603148 19925404722 26567206296 29888107083 39850809444 59776214166 79701618888 119552428332 239104856664