Search a number
-
+
107536600022272 = 2829313457106537
BaseRepresentation
bin11000011100110111010000…
…110110000011110100000000
3112002202101202112212222202221
4120130313100312003310000
5103043334424101203042
61020413344305020424
731436156124300331
oct3034672066036400
9462671675788687
10107536600022272
11312a001a26a403
1210089391924714
134800872455c45
141c7ab29076288
15c67418d87d67
hex61cdd0d83d00

107536600022272 has 72 divisors (see below), whose sum is σ = 215403767086536. Its totient is φ = 53580305596416.

The previous prime is 107536600022263. The next prime is 107536600022273. The reversal of 107536600022272 is 272220006635701.

It can be written as a sum of positive squares in 4 ways, for example, as 55440771572736 + 52095828449536 = 7445856^2 + 7217744^2 .

It is a super-2 number, since 2×1075366000222722 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107536600022273) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1009329388 + ... + 1009435924.

It is an arithmetic number, because the mean of its divisors is an integer number (2991718987313).

Almost surely, 2107536600022272 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 107536600022272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107701883543268).

107536600022272 is an abundant number, since it is smaller than the sum of its proper divisors (107867167064264).

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

107536600022272 is a wasteful number, since it uses less digits than its factorization.

107536600022272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120303 (or 120289 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 43.

Adding to 107536600022272 its reverse (272220006635701), we get a palindrome (379756606657973).

The spelling of 107536600022272 in words is "one hundred seven trillion, five hundred thirty-six billion, six hundred million, twenty-two thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 128 256 293 586 1172 2344 4688 9376 13457 18752 26914 37504 53828 75008 106537 107656 213074 215312 426148 430624 852296 861248 1704592 1722496 3409184 3444992 3942901 6818368 7885802 13636736 15771604 27273472 31215341 31543208 62430682 63086416 124861364 126172832 249722728 252345664 499445456 504691328 998890912 1009382656 1433668409 1997781824 2867336818 3995563648 5734673636 7991127296 11469347272 22938694544 45877389088 91754778176 183509556352 367019112704 420064843837 840129687674 1680259375348 3360518750696 6721037501392 13442075002784 26884150005568 53768300011136 107536600022272