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12302529888 = 2531113038941
BaseRepresentation
bin10110111010100100…
…11011010101100000
31011202101101021100010
423131102123111200
5200143421424023
65352433524520
7613603531035
oct133522332540
934671337303
1012302529888
115243503880
122474113740
131210a39cac
14849c8d38c
154c00ce093
hex2dd49b560

12302529888 has 96 divisors (see below), whose sum is σ = 35260952832. Its totient is φ = 3724761600.

The previous prime is 12302529881. The next prime is 12302529907. The reversal of 12302529888 is 88892520321.

It is a happy number.

12302529888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12302529881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1371498 + ... + 1380438.

It is an arithmetic number, because the mean of its divisors is an integer number (367301592).

Almost surely, 212302529888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12302529888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17630476416).

12302529888 is an abundant number, since it is smaller than the sum of its proper divisors (22958422944).

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

12302529888 is a wasteful number, since it uses less digits than its factorization.

12302529888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10268 (or 10260 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The spelling of 12302529888 in words is "twelve billion, three hundred two million, five hundred twenty-nine thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 1303 2606 3909 5212 7818 8941 10424 14333 15636 17882 20848 26823 28666 31272 35764 41696 42999 53646 57332 62544 71528 85998 98351 107292 114664 125088 143056 171996 196702 214584 229328 286112 295053 343992 393404 429168 458656 590106 687984 786808 858336 1180212 1375968 1573616 2360424 3147232 4720848 9441696 11650123 23300246 34950369 46600492 69900738 93200984 128151353 139801476 186401968 256302706 279602952 372803936 384454059 512605412 559205904 768908118 1025210824 1118411808 1537816236 2050421648 3075632472 4100843296 6151264944 12302529888