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107725010536 = 231113293321383
BaseRepresentation
bin110010001010011101…
…0010011011001101000
3101022001112121112112001
41210110322103121220
53231110100314121
6121253240500344
710532345324053
oct1442472233150
9338045545461
10107725010536
114175aa61930
1218a64a7a6b4
13a20a0a09b0
1452dcdc5a9a
152c07516991
hex1914e93668

107725010536 has 64 divisors (see below), whose sum is σ = 238106977920. Its totient is φ = 45044901120.

The previous prime is 107725010441. The next prime is 107725010597. The reversal of 107725010536 is 635010527701.

It is a super-2 number, since 2×1077250105362 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 107725010495 and 107725010504.

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 15 ways as a sum of consecutive naturals, for example, 174501 + ... + 495883.

It is an arithmetic number, because the mean of its divisors is an integer number (3720421530).

Almost surely, 2107725010536 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 107725010536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119053488960).

107725010536 is an abundant number, since it is smaller than the sum of its proper divisors (130381967384).

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

107725010536 is a wasteful number, since it uses less digits than its factorization.

107725010536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321706 (or 321702 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 37.

The spelling of 107725010536 in words is "one hundred seven billion, seven hundred twenty-five million, ten thousand, five hundred thirty-six".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 286 293 572 586 1144 1172 2344 3223 3809 6446 7618 12892 15236 25784 30472 41899 83798 167596 321383 335192 642766 1285532 2571064 3535213 4177979 7070426 8355958 14140852 16711916 28281704 33423832 45957769 91915538 94165219 183831076 188330438 367662152 376660876 753321752 1035817409 1224147847 2071634818 2448295694 4143269636 4896591388 8286539272 9793182776 13465626317 26931252634 53862505268 107725010536