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125434343392 = 252310112971301
BaseRepresentation
bin111010011010001111…
…0000010111111100000
3102222202201211212011221
41310310132002333200
54023342142442032
6133342421144424
712030244220101
oct1646436027740
9388681755157
10125434343392
1149218464806
122038785b114
13baa0020487
1460dcd8c3a8
1533e2106597
hex1d34782fe0

125434343392 has 96 divisors (see below), whose sum is σ = 260637943104. Its totient is φ = 59304960000.

The previous prime is 125434343357. The next prime is 125434343443. The reversal of 125434343392 is 293343434521.

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 15 ways as a sum of consecutive naturals, for example, 96413142 + ... + 96414442.

It is an arithmetic number, because the mean of its divisors is an integer number (2714978574).

Almost surely, 2125434343392 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125434343392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130318971552).

125434343392 is an abundant number, since it is smaller than the sum of its proper divisors (135203599712).

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

125434343392 is a wasteful number, since it uses less digits than its factorization.

125434343392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2732 (or 2724 counting only the distinct ones).

The product of its digits is 933120, while the sum is 43.

The spelling of 125434343392 in words is "one hundred twenty-five billion, four hundred thirty-four million, three hundred forty-three thousand, three hundred ninety-two".

Divisors: 1 2 4 8 16 23 32 46 92 101 184 202 368 404 736 808 1297 1301 1616 2323 2594 2602 3232 4646 5188 5204 9292 10376 10408 18584 20752 20816 29831 29923 37168 41504 41632 59662 59846 74336 119324 119692 130997 131401 238648 239384 261994 262802 477296 478768 523988 525604 954592 957536 1047976 1051208 1687397 2095952 2102416 3012931 3022223 3374794 4191904 4204832 6025862 6044446 6749588 12051724 12088892 13499176 24103448 24177784 26998352 38810131 48206896 48355568 53996704 77620262 96413792 96711136 155240524 170427097 310481048 340854194 620962096 681708388 1241924192 1363416776 2726833552 3919823231 5453667104 7839646462 15679292924 31358585848 62717171696 125434343392