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125853052064 = 2529475354443
BaseRepresentation
bin111010100110101101…
…1010010110010100000
3110000211220201110111112
41311031123102302200
54030221340131224
6133452135402452
712043520202065
oct1651533226240
9400756643445
10125853052064
1149412848833
1220483b23428
13bb389b249c
14613c822c6c
153418c6330e
hex1d4d6d2ca0

125853052064 has 96 divisors (see below), whose sum is σ = 266714622720. Its totient is φ = 58340918272.

The previous prime is 125853052057. The next prime is 125853052081. The reversal of 125853052064 is 460250358521.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2284427 + ... + 2338869.

It is an arithmetic number, because the mean of its divisors is an integer number (2778277320).

Almost surely, 2125853052064 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 125853052064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133357311360).

125853052064 is an abundant number, since it is smaller than the sum of its proper divisors (140861570656).

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

125853052064 is a wasteful number, since it uses less digits than its factorization.

125853052064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54582 (or 54574 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 41.

The spelling of 125853052064 in words is "one hundred twenty-five billion, eight hundred fifty-three million, fifty-two thousand, sixty-four".

Divisors: 1 2 4 8 16 29 32 47 53 58 94 106 116 188 212 232 376 424 464 752 848 928 1363 1504 1537 1696 2491 2726 3074 4982 5452 6148 9964 10904 12296 19928 21808 24592 39856 43616 49184 54443 72239 79712 108886 144478 217772 288956 435544 577912 871088 1155824 1578847 1742176 2311648 2558821 2885479 3157694 5117642 5770958 6315388 10235284 11541916 12630776 20470568 23083832 25261552 40941136 46167664 50523104 74205809 81882272 83678891 92335328 135617513 148411618 167357782 271235026 296823236 334715564 542470052 593646472 669431128 1084940104 1187292944 1338862256 2169880208 2374585888 2677724512 3932907877 4339760416 7865815754 15731631508 31463263016 62926526032 125853052064