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12889507825998 = 2323491972121101
BaseRepresentation
bin1011101110010001001010…
…0010010000100101001110
31200122020001221222112002200
42323210102202100211032
53142140203000412443
643225205205502330
72500144006540326
oct273442242204516
950566057875080
1012889507825998
11411a456159011
1215420a61119a6
137266245165bb
14327bd9726286
1517544426edd3
hexbb91289094e

12889507825998 has 48 divisors (see below), whose sum is σ = 27939464469072. Its totient is φ = 4294626480000.

The previous prime is 12889507825993. The next prime is 12889507826021. The reversal of 12889507825998 is 89952870598821.

12889507825998 is a `hidden beast` number, since 1 + 2 + 8 + 89 + 507 + 8 + 25 + 9 + 9 + 8 = 666.

It is a super-2 number, since 2×128895078259982 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12889507825993) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 610837648 + ... + 610858748.

It is an arithmetic number, because the mean of its divisors is an integer number (582072176439).

Almost surely, 212889507825998 is an apocalyptic number.

12889507825998 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

12889507825998 is an abundant number, since it is smaller than the sum of its proper divisors (15049956643074).

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

12889507825998 is a wasteful number, since it uses less digits than its factorization.

12889507825998 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34321 (or 34318 counting only the distinct ones).

The product of its (nonzero) digits is 2090188800, while the sum is 81.

The spelling of 12889507825998 in words is "twelve trillion, eight hundred eighty-nine billion, five hundred seven million, eight hundred twenty-five thousand, nine hundred ninety-eight".

Divisors: 1 2 3 6 9 18 3491 6982 9721 10473 19442 20946 21101 29163 31419 42202 58326 62838 63303 87489 126606 174978 189909 379818 33936011 67872022 73663591 101808033 147327182 203616066 205122821 220990773 305424099 410245642 441981546 610848198 615368463 662972319 1230736926 1325944638 1846105389 3692210778 716083768111 1432167536222 2148251304333 4296502608666 6444753912999 12889507825998