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127628532192 = 25371919950231
BaseRepresentation
bin111011011011101000…
…0001101100111100000
3110012102122121012100210
41312313100031213200
54042340401012232
6134344242214120
712135516424020
oct1666720154740
9405378535323
10127628532192
114a143a85287
122089a654340
13c05c798a45
14626a555a80
1534bea765cc
hex1db740d9e0

127628532192 has 192 divisors, whose sum is σ = 405070848000. Its totient is φ = 34371786240.

The previous prime is 127628532169. The next prime is 127628532221. The reversal of 127628532192 is 291235826721.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2515717 + ... + 2565947.

It is an arithmetic number, because the mean of its divisors is an integer number (2109744000).

Almost surely, 2127628532192 is an apocalyptic number.

127628532192 is a gapful number since it is divisible by the number (12) 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 127628532192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202535424000).

127628532192 is an abundant number, since it is smaller than the sum of its proper divisors (277442315808).

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

127628532192 is a wasteful number, since it uses less digits than its factorization.

127628532192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50469 (or 50461 counting only the distinct ones).

The product of its digits is 725760, while the sum is 48.

The spelling of 127628532192 in words is "one hundred twenty-seven billion, six hundred twenty-eight million, five hundred thirty-two thousand, one hundred ninety-two".