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125271757920 = 2535260982829
BaseRepresentation
bin111010010101011000…
…1110101010001100000
3102222100101220122211210
41310222301311101200
54023024032223140
6133314332310120
712023231242011
oct1645261652140
9388311818753
10125271757920
1149144706951
1220341312340
13ba75435c5a
1460c5549008
1533d2bdcd80
hex1d2ac75460

125271757920 has 48 divisors (see below), whose sum is σ = 394606038960. Its totient is φ = 33405801984.

The previous prime is 125271757903. The next prime is 125271757921. The reversal of 125271757920 is 29757172521.

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 125271757920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125271757921) by changing a digit.

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, 130490935 + ... + 130491894.

It is an arithmetic number, because the mean of its divisors is an integer number (8220959145).

Almost surely, 2125271757920 is an apocalyptic number.

125271757920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125271757920 is an abundant number, since it is smaller than the sum of its proper divisors (269334281040).

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

125271757920 is a wasteful number, since it uses less digits than its factorization.

125271757920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260982847 (or 260982839 counting only the distinct ones).

The product of its (nonzero) digits is 617400, while the sum is 48.

The spelling of 125271757920 in words is "one hundred twenty-five billion, two hundred seventy-one million, seven hundred fifty-seven thousand, nine hundred twenty".

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 260982829 521965658 782948487 1043931316 1304914145 1565896974 2087862632 2609828290 3131793948 3914742435 4175725264 5219656580 6263587896 7829484870 8351450528 10439313160 12527175792 15658969740 20878626320 25054351584 31317939480 41757252640 62635878960 125271757920