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12500190343440 = 2433517733464419
BaseRepresentation
bin1011010111100110110101…
…1001111011000100010000
31122021000011202110021011000
42311321231121323010100
53114300342211442230
642330301433022000
72430052240540122
oct265715531730420
948230152407130
1012500190343440
113a8a33462a128
12149a754554900
136c89bc0c34c7
143130261cd212
1516a25a601b60
hexb5e6d67b110

12500190343440 has 320 divisors, whose sum is σ = 45651222777600. Its totient is φ = 3133015842816.

The previous prime is 12500190343429. The next prime is 12500190343441. The reversal of 12500190343440 is 4434309100521.

12500190343440 is a `hidden beast` number, since 1 + 2 + 500 + 1 + 90 + 34 + 34 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12500190343395 and 12500190343404.

It is not an unprimeable number, because it can be changed into a prime (12500190343441) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 26683551 + ... + 27147969.

It is an arithmetic number, because the mean of its divisors is an integer number (142660071180).

Almost surely, 212500190343440 is an apocalyptic number.

12500190343440 is a gapful number since it is divisible by the number (10) 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 12500190343440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22825611388800).

12500190343440 is an abundant number, since it is smaller than the sum of its proper divisors (33151032434160).

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

12500190343440 is a wasteful number, since it uses less digits than its factorization.

12500190343440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465191 (or 465179 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 12500190343440 its reverse (4434309100521), we get a palindrome (16934499443961).

The spelling of 12500190343440 in words is "twelve trillion, five hundred billion, one hundred ninety million, three hundred forty-three thousand, four hundred forty".