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125897741536 = 2572269298483
BaseRepresentation
bin111010101000000010…
…1110001010011100000
3110000222000210220221011
41311100011301103200
54030314310212121
6133500413310304
712044602101100
oct1652005612340
9400860726834
10125897741536
1149435aa1686
1220496a95394
13bb4502b668
146144737200
15341cb3e7e1
hex1d501714e0

125897741536 has 72 divisors (see below), whose sum is σ = 289401131880. Its totient is φ = 53755414272.

The previous prime is 125897741533. The next prime is 125897741569. The reversal of 125897741536 is 635147798521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125897741533) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 272551 + ... + 571033.

It is an arithmetic number, because the mean of its divisors is an integer number (4019460165).

Almost surely, 2125897741536 is an apocalyptic number.

125897741536 is a gapful number since it is divisible by the number (16) 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 125897741536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144700565940).

125897741536 is an abundant number, since it is smaller than the sum of its proper divisors (163503390344).

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

125897741536 is a wasteful number, since it uses less digits than its factorization.

125897741536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298776 (or 298761 counting only the distinct ones).

The product of its digits is 12700800, while the sum is 58.

The spelling of 125897741536 in words is "one hundred twenty-five billion, eight hundred ninety-seven million, seven hundred forty-one thousand, five hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 269 392 538 784 1076 1568 1883 2152 3766 4304 7532 8608 13181 15064 26362 30128 52724 60256 105448 210896 298483 421792 596966 1193932 2089381 2387864 4178762 4775728 8357524 9551456 14625667 16715048 29251334 33430096 58502668 66860192 80291927 117005336 160583854 234010672 321167708 468021344 562043489 642335416 1124086978 1284670832 2248173956 2569341664 3934304423 4496347912 7868608846 8992695824 15737217692 17985391648 31474435384 62948870768 125897741536