Search a number
-
+
12496757207424 = 2737223269107347
BaseRepresentation
bin1011010111011010000011…
…0001100011000110000000
31122020200022111101212220020
42311312200301203012000
53114221324321114144
642324533033013440
72426601202423200
oct265664061430600
948220274355806
1012496757207424
113a88932721236
121499b56854280
136c8592a68189
14312bbc278400
1516a109001419
hexb5da0c63180

12496757207424 has 384 divisors, whose sum is σ = 40443058425600. Its totient is φ = 3402534998016.

The previous prime is 12496757207413. The next prime is 12496757207443. The reversal of 12496757207424 is 42470275769421.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116360919 + ... + 116468265.

It is an arithmetic number, because the mean of its divisors is an integer number (105320464650).

Almost surely, 212496757207424 is an apocalyptic number.

12496757207424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12496757207424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20221529212800).

12496757207424 is an abundant number, since it is smaller than the sum of its proper divisors (27946301218176).

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

12496757207424 is a wasteful number, since it uses less digits than its factorization.

12496757207424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107670 (or 107651 counting only the distinct ones).

The product of its (nonzero) digits is 47416320, while the sum is 60.

The spelling of 12496757207424 in words is "twelve trillion, four hundred ninety-six billion, seven hundred fifty-seven million, two hundred seven thousand, four hundred twenty-four".