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2385001479025 = 521124326532
BaseRepresentation
bin100010101101001101001…
…010100111101101110001
322110000002212001102010001
4202231031022213231301
5303033440334312100
65023353214510001
7334211363036464
oct42551512475561
98400085042101
102385001479025
1183a523181400
12326290205301
13143b9b753919
1483612ad52db
154208cca4d6a
hex22b4d2a7b71

2385001479025 has 81 divisors (see below), whose sum is σ = 3333157957857. Its totient is φ = 1691613739200.

The previous prime is 2385001479023. The next prime is 2385001479079. The reversal of 2385001479025 is 5209741005832.

The square root of 2385001479025 is 1544345.

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

It can be written as a sum of positive squares in 4 ways, for example, as 403528587121 + 1981472891904 = 635239^2 + 1407648^2 .

It is not a de Polignac number, because 2385001479025 - 21 = 2385001479023 is a prime.

It is a super-3 number, since 3×23850014790253 (a number of 38 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2385001479023) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3652375599 + ... + 3652376251.

Almost surely, 22385001479025 is an apocalyptic number.

2385001479025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2385001479025 is the 1544345-th square number.

2385001479025 is the 772173-rd centered octagonal number.

It is an amenable number.

2385001479025 is a deficient number, since it is larger than the sum of its proper divisors (948156478832).

2385001479025 is an frugal number, since it uses more digits than its factorization.

2385001479025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1424 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 46.

The spelling of 2385001479025 in words is "two trillion, three hundred eighty-five billion, one million, four hundred seventy-nine thousand, twenty-five".

Divisors: 1 5 11 25 43 55 121 215 275 473 605 653 1075 1849 2365 3025 3265 5203 7183 9245 11825 16325 20339 26015 28079 35915 46225 79013 101695 130075 140395 179575 223729 308869 395065 426409 508475 701975 1118645 1207397 1544345 1975325 2132045 3397559 4690499 5593225 6036985 7721725 10660225 13281367 16987795 18335587 23452495 30184925 51595489 66406835 84938975 91677935 117262475 146095037 201691457 257977445 332034175 458389675 730475185 788430241 1008457285 1289887225 2218606027 3652375925 3942151205 5042286425 8672732651 11093030135 19710756025 43363663255 55465150675 95400059161 216818316275 477000295805 2385001479025