Search a number
2049913789504 = 26723726912
BaseRepresentation
bin11101110101001000011…
…000100001110001000000
321020222012000110002000121
4131311020120201301000
5232041210412231004
64205414542430024
7301046526500200
oct35651030416100
97228160402017
102049913789504
117203aa990699
12291353b92314
1311b3c94aac69
147130597c400
15384c9ee3854
hex1dd48621c40

2049913789504 has 189 divisors, whose sum is σ = 4870322546229. Its totient is φ = 853553272320.

The previous prime is 2049913789499. The next prime is 2049913789519. The reversal of 2049913789504 is 4059873199402.

The square root of 2049913789504 is 1431752.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1834291009600 + 215622779904 = 1354360^2 + 464352^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2966589799 + ... + 2966590489.

It is an arithmetic number, because the mean of its divisors is an integer number (25768902361).

Almost surely, 22049913789504 is an apocalyptic number.

2049913789504 is the 1431752-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2049913789504

2049913789504 is an abundant number, since it is smaller than the sum of its proper divisors (2820408756725).

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

2049913789504 is an frugal number, since it uses more digits than its factorization.

2049913789504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1482 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 61.

The spelling of 2049913789504 in words is "two trillion, forty-nine billion, nine hundred thirteen million, seven hundred eighty-nine thousand, five hundred four".