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14338763392 = 275910917419
BaseRepresentation
bin11010101101010100…
…00010101010000000
31101000021220122120211
431112222002222000
5213331210412032
610330453243504
71015220322622
oct152652025200
941007818524
1014338763392
116098949188
122942033594
13147685c6a5
149a049ac12
1558dc4c747
hex356a82a80

14338763392 has 64 divisors (see below), whose sum is σ = 29317860000. Its totient is φ = 6982806528.

The previous prime is 14338763353. The next prime is 14338763401. The reversal of 14338763392 is 29336783341.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×143387633922 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 814459 + ... + 831877.

Almost surely, 214338763392 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 14338763392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14658930000).

14338763392 is an abundant number, since it is smaller than the sum of its proper divisors (14979096608).

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

14338763392 is a wasteful number, since it uses less digits than its factorization.

14338763392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17601 (or 17589 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 49.

The spelling of 14338763392 in words is "fourteen billion, three hundred thirty-eight million, seven hundred sixty-three thousand, three hundred ninety-two".

Divisors: 1 2 4 8 16 32 59 64 109 118 128 218 236 436 472 872 944 1744 1888 3488 3776 6431 6976 7552 12862 13952 17419 25724 34838 51448 69676 102896 139352 205792 278704 411584 557408 823168 1027721 1114816 1898671 2055442 2229632 3797342 4110884 7594684 8221768 15189368 16443536 30378736 32887072 60757472 65774144 112021589 121514944 131548288 224043178 243029888 448086356 896172712 1792345424 3584690848 7169381696 14338763392