Search a number
-
+
153445001120600 = 23527109603572229
BaseRepresentation
bin100010111000111010110010…
…110010001100101101011000
3202010022012100221212020002212
4202320322302302030231120
5130103020330241324400
61302203354350014252
744215015113135020
oct4270726262145530
9663265327766085
10153445001120600
114498a7289142a2
12152628044a7388
136780a55c1b357
1429c6ac5d56a80
1512b16cb12c335
hex8b8eb2c8cb58

153445001120600 has 48 divisors (see below), whose sum is σ = 407725288695600. Its totient is φ = 52609714669440.

The previous prime is 153445001120549. The next prime is 153445001120603. The reversal of 153445001120600 is 6021100544351.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153445001120603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54801784715 + ... + 54801787514.

It is an arithmetic number, because the mean of its divisors is an integer number (8494276847825).

Almost surely, 2153445001120600 is an apocalyptic number.

153445001120600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153445001120600 is an abundant number, since it is smaller than the sum of its proper divisors (254280287575000).

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

153445001120600 is a wasteful number, since it uses less digits than its factorization.

153445001120600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109603572252 (or 109603572243 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

Adding to 153445001120600 its reverse (6021100544351), we get a palindrome (159466101664951).

The spelling of 153445001120600 in words is "one hundred fifty-three trillion, four hundred forty-five billion, one million, one hundred twenty thousand, six hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 109603572229 219207144458 438414288916 548017861145 767225005603 876828577832 1096035722290 1534450011206 2192071444580 2740089305725 3068900022412 3836125028015 4384142889160 5480178611450 6137800044824 7672250056030 10960357222900 15344500112060 19180625140075 21920714445800 30689000224120 38361250280150 76722500560300 153445001120600