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2504144104 = 2371110134013
BaseRepresentation
bin1001010101000010…
…0011010011101000
320110111222200220221
42111100203103220
520112030102404
61052252255424
7116024605450
oct22520432350
96414880827
102504144104
111075584590
1259a771574
1330ba50797
1419a80cd60
15e9c98954
hex954234e8

2504144104 has 64 divisors (see below), whose sum is σ = 5861082240. Its totient is φ = 974434560.

The previous prime is 2504144101. The next prime is 2504144107. The reversal of 2504144104 is 4014414052.

It is an interprime number because it is at equal distance from previous prime (2504144101) and next prime (2504144107).

It is not an unprimeable number, because it can be changed into a prime (2504144101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 622002 + ... + 626014.

It is an arithmetic number, because the mean of its divisors is an integer number (91579410).

Almost surely, 22504144104 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 2504144104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2930541120).

2504144104 is an abundant number, since it is smaller than the sum of its proper divisors (3356938136).

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

2504144104 is a wasteful number, since it uses less digits than its factorization.

2504144104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5050 (or 5046 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

The square root of 2504144104 is about 50041.4238806211. The cubic root of 2504144104 is about 1357.9583162382.

Adding to 2504144104 its reverse (4014414052), we get a palindrome (6518558156).

The spelling of 2504144104 in words is "two billion, five hundred four million, one hundred forty-four thousand, one hundred four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 616 1013 2026 4013 4052 7091 8026 8104 11143 14182 16052 22286 28091 28364 32104 44143 44572 56182 56728 78001 88286 89144 112364 156002 176572 224728 309001 312004 353144 618002 624008 1236004 2472008 4065169 8130338 16260676 28456183 32521352 44716859 56912366 89433718 113824732 178867436 227649464 313018013 357734872 626036026 1252072052 2504144104