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1332396947025 = 345211322272
BaseRepresentation
bin10011011000111001000…
…010111111011001010001
311201101011000220212210000
4103120321002333121101
5133312222104301100
62500032242400213
7165156016120104
oct23307102773121
94641130825700
101332396947025
11474080382a81
12196289060069
139884bc49691
14486ba09a73b
15249d31c0900
hex136390bf651

1332396947025 has 135 divisors (see below), whose sum is σ = 2501112151681. Its totient is φ = 701220360960.

The previous prime is 1332396947003. The next prime is 1332396947047. The reversal of 1332396947025 is 5207496932331.

The square root of 1332396947025 is 1154295.

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

1332396947025 is a `hidden beast` number, since 133 + 2 + 39 + 6 + 9 + 470 + 2 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (1332396947003) and next prime (1332396947047).

It can be written as a sum of positive squares in 4 ways, for example, as 677870642241 + 654526304784 = 823329^2 + 809028^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 1332396947025 - 29 = 1332396946513 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 5869589962 + ... + 5869590188.

Almost surely, 21332396947025 is an apocalyptic number.

1332396947025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1332396947025 is the 1154295-th square number.

1332396947025 is the 577148-th centered octagonal number.

It is an amenable number.

1332396947025 is a deficient number, since it is larger than the sum of its proper divisors (1168715204656).

1332396947025 is an frugal number, since it uses more digits than its factorization.

1332396947025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 54.

The spelling of 1332396947025 in words is "one trillion, three hundred thirty-two billion, three hundred ninety-six million, nine hundred forty-seven thousand, twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 113 135 225 227 339 405 565 675 681 1017 1135 1695 2025 2043 2825 3051 3405 5085 5675 6129 8475 9153 10215 12769 15255 17025 18387 25425 25651 30645 38307 45765 51075 51529 63845 76275 76953 91935 114921 128255 153225 154587 191535 228825 230859 257645 319225 344763 384765 459675 463761 574605 641275 692577 772935 957675 1034289 1154295 1288225 1391283 1723815 1923825 2077731 2318805 2873025 2898563 3462885 3864675 4173849 5171445 5771475 5822777 6956415 8619075 8695689 10388655 11594025 14492815 17314425 17468331 20869245 25857225 26087067 29113885 34782075 43478445 51943275 52404993 72464075 78261201 87341655 104346225 130435335 145569425 157214979 217392225 234783603 262024965 391306005 436708275 471644937 652176675 657973801 786074895 1173918015 1310124825 1956530025 1973921403 2358224685 3289869005 3930374475 5869590075 5921764209 9869607015 11791123425 16449345025 17765292627 29608821045 49348035075 53295877881 88826463135 148044105225 266479389405 444132315675 1332396947025