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12491023199436 = 223524775188069
BaseRepresentation
bin1011010111000100101100…
…0000000010110011001100
31122020010111212212002200000
42311301023000002303030
53114123103414340221
642322144041204300
72426306125233555
oct265611300026314
948203455762600
1012491023199436
113a8645aa57161
121498a16490690
136c7b8ab20b42
143127d690932c
15169dc090ae26
hexb5c4b002ccc

12491023199436 has 72 divisors (see below), whose sum is σ = 32757183448080. Its totient is φ = 4161992663232.

The previous prime is 12491023199429. The next prime is 12491023199437. The reversal of 12491023199436 is 63499132019421.

12491023199436 is a `hidden beast` number, since 1 + 2 + 4 + 9 + 10 + 2 + 3 + 199 + 436 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (12491023199437) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 186391 + ... + 5001678.

Almost surely, 212491023199436 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 12491023199436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16378591724040).

12491023199436 is an abundant number, since it is smaller than the sum of its proper divisors (20266160248644).

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

12491023199436 is a wasteful number, since it uses less digits than its factorization.

12491023199436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5190565 (or 5190551 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 12491023199436 in words is "twelve trillion, four hundred ninety-one billion, twenty-three million, one hundred ninety-nine thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 2477 4954 7431 9908 14862 22293 29724 44586 66879 89172 133758 200637 267516 401274 601911 802548 1203822 2407644 5188069 10376138 15564207 20752276 31128414 46692621 62256828 93385242 140077863 186770484 280155726 420233589 560311452 840467178 1260700767 1680934356 2521401534 5042803068 12850846913 25701693826 38552540739 51403387652 77105081478 115657622217 154210162956 231315244434 346972866651 462630488868 693945733302 1040918599953 1387891466604 2081837199906 3122755799859 4163674399812 6245511599718 12491023199436