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376781130625 = 544325712
BaseRepresentation
bin1010111101110011110…
…01111100101110000001
31100000112112011121001211
411132321321330232001
522133121432140000
6445031343130121
736135662524204
oct5367171745601
91300475147054
10376781130625
11135879142159
12610332a3941
13296b8119293
14143445bd93b
159c032a37ba
hex57b9e7cb81

376781130625 has 45 divisors (see below), whose sum is σ = 482875437429. Its totient is φ = 293899410000.

The previous prime is 376781130613. The next prime is 376781130629. The reversal of 376781130625 is 526031187673.

The square root of 376781130625 is 613825.

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

It can be written as a sum of positive squares in 2 ways, for example, as 29539640641 + 347241489984 = 171871^2 + 589272^2 .

It is not a de Polignac number, because 376781130625 - 27 = 376781130497 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (376781130629) 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 44 ways as a sum of consecutive naturals, for example, 659861590 + ... + 659862160.

Almost surely, 2376781130625 is an apocalyptic number.

376781130625 is the 613825-th square number.

376781130625 is the 306913-rd centered octagonal number.

It is an amenable number.

376781130625 is a deficient number, since it is larger than the sum of its proper divisors (106094306804).

376781130625 is an frugal number, since it uses more digits than its factorization.

376781130625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 49.

Multiplying 376781130625 by its sum of digits (49), we get a square (18462275400625 = 42967752).

The spelling of 376781130625 in words is "three hundred seventy-six billion, seven hundred eighty-one million, one hundred thirty thousand, six hundred twenty-five".

Divisors: 1 5 25 43 125 215 571 625 1075 1849 2855 5375 9245 14275 24553 26875 46225 71375 122765 231125 326041 356875 613825 1055779 1155625 1630205 3069125 5278895 8151025 14019763 15345625 26394475 40755125 70098815 131972375 203775625 350494075 602849809 659861875 1752470375 3014249045 8762351875 15071245225 75356226125 376781130625