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12190859418464 = 252011421144987
BaseRepresentation
bin1011000101100110011111…
…0110000101101101100000
31121011102201221202010122222
42301121213312011231200
53044213340002342324
641532223053450212
72365521601213526
oct261314766055540
947142657663588
1012190859418464
113980129365891
12144a8061a0968
136a57930a981c
1430207db32316
151621a3b9955e
hexb1667d85b60

12190859418464 has 48 divisors (see below), whose sum is σ = 24018925484736. Its totient is φ = 6090816489600.

The previous prime is 12190859418421. The next prime is 12190859418473. The reversal of 12190859418464 is 46481495809121.

12190859418464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12190859418397 and 12190859418406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 270963779 + ... + 271008765.

It is an arithmetic number, because the mean of its divisors is an integer number (500394280932).

Almost surely, 212190859418464 is an apocalyptic number.

It is an amenable number.

12190859418464 is a deficient number, since it is larger than the sum of its proper divisors (11828066066272).

12190859418464 is a wasteful number, since it uses less digits than its factorization.

12190859418464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51219 (or 51211 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 62.

The spelling of 12190859418464 in words is "twelve trillion, one hundred ninety billion, eight hundred fifty-nine million, four hundred eighteen thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 2011 4022 4211 8044 8422 16088 16844 32176 33688 44987 64352 67376 89974 134752 179948 359896 719792 1439584 8468321 16936642 33873284 67746568 90468857 135493136 180937714 189440257 270986272 361875428 378880514 723750856 757761028 1447501712 1515522056 2895003424 3031044112 6062088224 380964356827 761928713654 1523857427308 3047714854616 6095429709232 12190859418464