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12537069975990 = 232571719163547691
BaseRepresentation
bin1011011001110000001110…
…0110100011100110110110
31122101112100221222201012200
42312130003212203212312
53120401404403212430
642355241143325330
72432526165333540
oct266340346434666
948345327881180
1012537069975990
113aa3a3a18499a
1214a5927450846
136cc3188692a1
14314b241c0690
1516b1b81ba460
hexb67039a39b6

12537069975990 has 768 divisors, whose sum is σ = 41912044462080. Its totient is φ = 2531114127360.

The previous prime is 12537069975977. The next prime is 12537069976033. The reversal of 12537069975990 is 9957996073521.

12537069975990 is a `hidden beast` number, since 1 + 25 + 3 + 7 + 0 + 6 + 9 + 9 + 7 + 599 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 18143371545 + ... + 18143372235.

It is an arithmetic number, because the mean of its divisors is an integer number (54572974560).

Almost surely, 212537069975990 is an apocalyptic number.

12537069975990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12537069975990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20956022231040).

12537069975990 is an abundant number, since it is smaller than the sum of its proper divisors (29374974486090).

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

12537069975990 is a wasteful number, since it uses less digits than its factorization.

12537069975990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1457 (or 1454 counting only the distinct ones).

The product of its (nonzero) digits is 289340100, while the sum is 72.

The spelling of 12537069975990 in words is "twelve trillion, five hundred thirty-seven billion, sixty-nine million, nine hundred seventy-five thousand, nine hundred ninety".