Search a number
-
+
375628781511025 = 52725537472
BaseRepresentation
bin101010101101000011110010…
…0000101101110000101110001
31211020222202112122000210021221
41111122013210011232011301
5343213300221031323100
63410521251402145041
7142056166242530200
oct12532074405560561
91736882478023257
10375628781511025
11a97612a95a4949
123616745aab2181
1313179846929473
1468a875c58d237
152d65e7757e01a
hex155a1e416e171

375628781511025 has 27 divisors (see below), whose sum is σ = 541826331068619. Its totient is φ = 257573556460080.

The previous prime is 375628781510963. The next prime is 375628781511031. The reversal of 375628781511025 is 520115187826573.

The square root of 375628781511025 is 19381145.

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., 135226361343969 + 240402420167056 = 11628687^2 + 15504916^2 .

It is not a de Polignac number, because 375628781511025 - 213 = 375628781502833 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 678063202 + ... + 678616948.

Almost surely, 2375628781511025 is an apocalyptic number.

375628781511025 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

375628781511025 is the 19381145-th square number.

375628781511025 is the 9690573-rd centered octagonal number.

It is an amenable number.

375628781511025 is a deficient number, since it is larger than the sum of its proper divisors (166197549557594).

375628781511025 is an frugal number, since it uses more digits than its factorization.

375628781511025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107518 (or 553759 counting only the distinct ones).

The product of its (nonzero) digits is 28224000, while the sum is 61.

The spelling of 375628781511025 in words is "three hundred seventy-five trillion, six hundred twenty-eight billion, seven hundred eighty-one million, five hundred eleven thousand, twenty-five".

Divisors: 1 5 7 25 35 49 175 245 1225 553747 2768735 3876229 13843675 19381145 27133603 96905725 135668015 678340075 306635740009 1533178700045 2146450180063 7665893500225 10732250900315 15025151260441 53661254501575 75125756302205 375628781511025