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125575407840 = 2535261615433
BaseRepresentation
bin111010011110011100…
…0001010100011100000
3110000010120021200020010
41310330320022203200
54024134301022330
6133404420444520
712033606232521
oct1647470124340
9400116250203
10125575407840
11492900535a3
1220406b49740
13bac331116c
1461139cc848
1533ee6bd3b0
hex1d3ce0a8e0

125575407840 has 48 divisors (see below), whose sum is σ = 395562536208. Its totient is φ = 33486775296.

The previous prime is 125575407799. The next prime is 125575407887. The reversal of 125575407840 is 48704575521.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a self number, because there is not a number n which added to its sum of digits gives 125575407840.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 130807237 + ... + 130808196.

It is an arithmetic number, because the mean of its divisors is an integer number (8240886171).

Almost surely, 2125575407840 is an apocalyptic number.

125575407840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125575407840 is an abundant number, since it is smaller than the sum of its proper divisors (269987128368).

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

125575407840 is a wasteful number, since it uses less digits than its factorization.

125575407840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261615451 (or 261615443 counting only the distinct ones).

The product of its (nonzero) digits is 1568000, while the sum is 48.

The spelling of 125575407840 in words is "one hundred twenty-five billion, five hundred seventy-five million, four hundred seven thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 261615433 523230866 784846299 1046461732 1308077165 1569692598 2092923464 2616154330 3139385196 3924231495 4185846928 5232308660 6278770392 7848462990 8371693856 10464617320 12557540784 15696925980 20929234640 25115081568 31393851960 41858469280 62787703920 125575407840