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107884142128 = 24729106331247
BaseRepresentation
bin110010001111001100…
…1010101111000110000
3101022110122001021000201
41210132121111320300
53231421320022003
6121321123324544
710536320035420
oct1443631257060
9338418037021
10107884142128
1141831870844
1218aaa220754
13a2340490b9
1453161aa480
152c1649bb1d
hex191e655e30

107884142128 has 80 divisors (see below), whose sum is σ = 247364167680. Its totient is φ = 44598290688.

The previous prime is 107884142101. The next prime is 107884142131. The reversal of 107884142128 is 821241488701.

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, 3437001 + ... + 3468247.

It is an arithmetic number, because the mean of its divisors is an integer number (3092052096).

Almost surely, 2107884142128 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 107884142128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123682083840).

107884142128 is an abundant number, since it is smaller than the sum of its proper divisors (139480025552).

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

107884142128 is a wasteful number, since it uses less digits than its factorization.

107884142128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32354 (or 32348 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 46.

The spelling of 107884142128 in words is "one hundred seven billion, eight hundred eighty-four million, one hundred forty-two thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 29 56 58 112 116 203 232 406 464 812 1063 1624 2126 3248 4252 7441 8504 14882 17008 29764 30827 31247 59528 61654 62494 119056 123308 124988 215789 218729 246616 249976 431578 437458 493232 499952 863156 874916 906163 1726312 1749832 1812326 3452624 3499664 3624652 6343141 7249304 12686282 14498608 25372564 33215561 50745128 66431122 101490256 132862244 232508927 265724488 465017854 531448976 930035708 963251269 1860071416 1926502538 3720142832 3853005076 6742758883 7706010152 13485517766 15412020304 26971035532 53942071064 107884142128