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379585371025 = 52722926072
BaseRepresentation
bin1011000011000010000…
…11010001101110010001
31100021202221211202201101
411201201003101232101
522204342323333100
6450213515504401
736265323263200
oct5414103215621
91307687752641
10379585371025
11136a88056503
1261696458101
1329a4409c623
141452cbc9237
159d1957986a
hex58610d1b91

379585371025 has 81 divisors (see below), whose sum is σ = 567999759249. Its totient is φ = 250897671360.

The previous prime is 379585371023. The next prime is 379585371031. The reversal of 379585371025 is 520173585973.

The square root of 379585371025 is 616105.

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 5217606289 + 374367764736 = 72233^2 + 611856^2 .

It is not a de Polignac number, because 379585371025 - 21 = 379585371023 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (379585371023) 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, 625346272 + ... + 625346878.

Almost surely, 2379585371025 is an apocalyptic number.

379585371025 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

379585371025 is the 616105-th square number.

379585371025 is the 308053-rd centered octagonal number.

It is an amenable number.

379585371025 is a deficient number, since it is larger than the sum of its proper divisors (188414388224).

379585371025 is an frugal number, since it uses more digits than its factorization.

379585371025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1296 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 7938000, while the sum is 55.

The spelling of 379585371025 in words is "three hundred seventy-nine billion, five hundred eighty-five million, three hundred seventy-one thousand, twenty-five".

Divisors: 1 5 7 25 29 35 49 145 175 203 245 607 725 841 1015 1225 1421 3035 4205 4249 5075 5887 7105 15175 17603 21025 21245 29435 29743 35525 41209 88015 106225 123221 147175 148715 206045 368449 440075 510487 616105 743575 862547 1030225 1842245 2552435 2579143 3080525 3573409 4312735 9211225 10685021 12762175 12895715 17867045 18054001 21563675 25013863 53425105 64478575 74795147 89335225 90270005 125069315 267125525 309865609 373975735 451350025 523566029 625346575 1549328045 1869878675 2169059263 2617830145 7746640225 10845296315 13089150725 15183414841 54226481575 75917074205 379585371025