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12046008710352 = 2437113925428971
BaseRepresentation
bin1010111101001010111000…
…0100011111010011010000
31120122120212001120202022210
42233102232010133103100
53034330211212212402
641341505432232120
72352203216420211
oct257225604372320
946576761522283
1012046008710352
113924757972971
12142671bb3b640
13694c1a59a756
142d905c1c5408
1515d5271b106c
hexaf4ae11f4d0

12046008710352 has 80 divisors (see below), whose sum is σ = 31784180682240. Its totient is φ = 3930301603200.

The previous prime is 12046008710347. The next prime is 12046008710357. The reversal of 12046008710352 is 25301780064021.

12046008710352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12046008710347) and next prime (12046008710357).

It is a self number, because there is not a number n which added to its sum of digits gives 12046008710352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12046008710357) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12240774 + ... + 13188197.

It is an arithmetic number, because the mean of its divisors is an integer number (397302258528).

Almost surely, 212046008710352 is an apocalyptic number.

12046008710352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12046008710352 is an abundant number, since it is smaller than the sum of its proper divisors (19738171971888).

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

12046008710352 is a wasteful number, since it uses less digits than its factorization.

12046008710352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25429192 (or 25429186 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

Adding to 12046008710352 its reverse (25301780064021), we get a palindrome (37347788774373).

The spelling of 12046008710352 in words is "twelve trillion, forty-six billion, eight million, seven hundred ten thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 71 139 142 213 278 284 417 426 556 568 834 852 1112 1136 1668 1704 2224 3336 3408 6672 9869 19738 29607 39476 59214 78952 118428 157904 236856 473712 25428971 50857942 76286913 101715884 152573826 203431768 305147652 406863536 610295304 1220590608 1805456941 3534626969 3610913882 5416370823 7069253938 7221827764 10603880907 10832741646 14138507876 14443655528 21207761814 21665483292 28277015752 28887311056 42415523628 43330966584 56554031504 84831047256 86661933168 169662094512 250958514799 501917029598 752875544397 1003834059196 1505751088794 2007668118392 3011502177588 4015336236784 6023004355176 12046008710352