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5149901904 = 243781118899
BaseRepresentation
bin1001100101111010…
…10100010001010000
3111021220110010022120
410302331110101100
541021333330104
62211004134240
7241422305160
oct46275242120
914256403276
105149901904
112202a92584
12bb8837380
13640c24c44
1436bd625a0
152021b6cd9
hex132f54450

5149901904 has 80 divisors (see below), whose sum is σ = 15224025600. Its totient is φ = 1469508480.

The previous prime is 5149901891. The next prime is 5149901909. The reversal of 5149901904 is 4091099415.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5149901909) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 263047 + ... + 281945.

It is an arithmetic number, because the mean of its divisors is an integer number (190300320).

Almost surely, 25149901904 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 5149901904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7612012800).

5149901904 is an abundant number, since it is smaller than the sum of its proper divisors (10074123696).

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

5149901904 is a wasteful number, since it uses less digits than its factorization.

5149901904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19728 (or 19722 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 42.

The square root of 5149901904 is about 71762.8170015643. The cubic root of 5149901904 is about 1726.8965380881.

The spelling of 5149901904 in words is "five billion, one hundred forty-nine million, nine hundred one thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 811 1622 2433 3244 4866 5677 6488 9732 11354 12976 17031 18899 19464 22708 34062 37798 38928 45416 56697 68124 75596 90832 113394 132293 136248 151192 226788 264586 272496 302384 396879 453576 529172 793758 907152 1058344 1587516 2116688 3175032 6350064 15327089 30654178 45981267 61308356 91962534 107289623 122616712 183925068 214579246 245233424 321868869 367850136 429158492 643737738 735700272 858316984 1287475476 1716633968 2574950952 5149901904