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115043516432 = 241329103185167
BaseRepresentation
bin110101100100100100…
…0001100000000010000
3101222221120200011020222
41223021020030000100
53341102120011212
6124503353452212
711211612516665
oct1531110140020
9358846604228
10115043516432
114487607a709
121a367a11068
13ab05383a60
1457d4d71a6c
152ed4c97c72
hex1ac920c010

115043516432 has 80 divisors (see below), whose sum is σ = 250732285440. Its totient is φ = 50768073216.

The previous prime is 115043516389. The next prime is 115043516443. The reversal of 115043516432 is 234615340511.

It is a junction number, because it is equal to n+sod(n) for n = 115043516392 and 115043516401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 528713 + ... + 713879.

It is an arithmetic number, because the mean of its divisors is an integer number (3134153568).

Almost surely, 2115043516432 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 115043516432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125366142720).

115043516432 is an abundant number, since it is smaller than the sum of its proper divisors (135688769008).

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

115043516432 is a wasteful number, since it uses less digits than its factorization.

115043516432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185320 (or 185314 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

Adding to 115043516432 its reverse (234615340511), we get a palindrome (349658856943).

The spelling of 115043516432 in words is "one hundred fifteen billion, forty-three million, five hundred sixteen thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 29 52 58 103 104 116 206 208 232 377 412 464 754 824 1339 1508 1648 2678 2987 3016 5356 5974 6032 10712 11948 21424 23896 38831 47792 77662 155324 185167 310648 370334 621296 740668 1481336 2407171 2962672 4814342 5369843 9628684 10739686 19072201 19257368 21479372 38144402 38514736 42958744 69807959 76288804 85917488 139615918 152577608 247938613 279231836 305155216 495877226 553093829 558463672 991754452 1106187658 1116927344 1983508904 2212375316 3967017808 4424750632 7190219777 8849501264 14380439554 28760879108 57521758216 115043516432