Search a number
-
+
1680520136752 = 243112973261169
BaseRepresentation
bin11000011101000110110…
…011100100100000110000
312221122201100010020110101
4120131012303210200300
5210013201123334002
63324004214442144
7232261566321232
oct30350663444060
95848640106411
101680520136752
11598782895a56
12231842963354
13c261aa43682
145b4a2580252
152daaa597587
hex18746ce4830

1680520136752 has 40 divisors (see below), whose sum is σ = 3361312223360. Its totient is φ = 813089111040.

The previous prime is 1680520136663. The next prime is 1680520136753. The reversal of 1680520136752 is 2576310250861.

It is a super-2 number, since 2×16805201367522 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1680520136753) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 6304024 + ... + 6565192.

It is an arithmetic number, because the mean of its divisors is an integer number (84032805584).

Almost surely, 21680520136752 is an apocalyptic number.

It is an amenable number.

1680520136752 is an abundant number, since it is smaller than the sum of its proper divisors (1680792086608).

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

1680520136752 is a wasteful number, since it uses less digits than its factorization.

1680520136752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274181 (or 274175 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 46.

The spelling of 1680520136752 in words is "one trillion, six hundred eighty billion, five hundred twenty million, one hundred thirty-six thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 16 31 62 124 248 496 12973 25946 51892 103784 207568 261169 402163 522338 804326 1044676 1608652 2089352 3217304 4178704 6434608 8096239 16192478 32384956 64769912 129539824 3388145437 6776290874 13552581748 27105163496 54210326992 105032508547 210065017094 420130034188 840260068376 1680520136752