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127747157340 = 22351110113114629
BaseRepresentation
bin111011011111001010…
…0101110110101011100
3110012201220210222110210
41312332110232311130
54043111233013330
6134404120532420
712141456630645
oct1667624566534
9405656728423
10127747157340
114a1a4a380a0
1220912321110
13c07b230c3a
14627c1d46cc
1534ca1a98b0
hex1dbe52ed5c

127747157340 has 192 divisors, whose sum is σ = 397108293120. Its totient is φ = 30426240000.

The previous prime is 127747157297. The next prime is 127747157347. The reversal of 127747157340 is 43751747721.

It is a self number, because there is not a number n which added to its sum of digits gives 127747157340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127747157347) 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, 8725146 + ... + 8739774.

It is an arithmetic number, because the mean of its divisors is an integer number (2068272360).

Almost surely, 2127747157340 is an apocalyptic number.

127747157340 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 127747157340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198554146560).

127747157340 is an abundant number, since it is smaller than the sum of its proper divisors (269361135780).

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

127747157340 is a wasteful number, since it uses less digits than its factorization.

127747157340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14884 (or 14882 counting only the distinct ones).

The product of its (nonzero) digits is 1152480, while the sum is 48.

The spelling of 127747157340 in words is "one hundred twenty-seven billion, seven hundred forty-seven million, one hundred fifty-seven thousand, three hundred forty".