Search a number
-
+
2603107850252 = 227134110113113183
BaseRepresentation
bin100101111000010101010…
…100011001100000001100
3100012212002001200001112012
4211320111110121200030
5320122131102202002
65311503511200352
7356032303435010
oct45702524314014
910185061601465
102603107850252
11913a76578268
123605bb6760b8
1315b61a037b10
148ddc37b2540
1547aa5ae4d52
hex25e1551980c

2603107850252 has 192 divisors, whose sum is σ = 5845028732928. Its totient is φ = 987068160000.

The previous prime is 2603107850249. The next prime is 2603107850261. The reversal of 2603107850252 is 2520587013062.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 197452853 + ... + 197466035.

It is an arithmetic number, because the mean of its divisors is an integer number (30442857984).

Almost surely, 22603107850252 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 2603107850252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2922514366464).

2603107850252 is an abundant number, since it is smaller than the sum of its proper divisors (3241920882676).

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

2603107850252 is a wasteful number, since it uses less digits than its factorization.

2603107850252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13480 (or 13478 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 41.

The spelling of 2603107850252 in words is "two trillion, six hundred three billion, one hundred seven million, eight hundred fifty thousand, two hundred fifty-two".