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670982148225 = 345210921672
BaseRepresentation
bin10011100001110011010…
…01110001000010000001
32101010220220021210110000
421300321221301002001
541443132412220400
61232124524030213
766322364104404
oct11607151610201
92333826253400
10670982148225
1123961aa26114
12aa05a692369
134b37270164c
14246934bbd3b
15126c17d5600
hex9c39a71081

670982148225 has 135 divisors (see below), whose sum is σ = 1261954507737. Its totient is φ = 352450854720.

The previous prime is 670982148203. The next prime is 670982148251. The reversal of 670982148225 is 522841289076.

The square root of 670982148225 is 819135.

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

670982148225 is a `hidden beast` number, since 6 + 70 + 98 + 2 + 1 + 482 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2460060801 + 668522087424 = 49599^2 + 817632^2 .

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

It is not a de Polignac number, because 670982148225 - 27 = 670982148097 is a prime.

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, 4017857092 + ... + 4017857258.

Almost surely, 2670982148225 is an apocalyptic number.

670982148225 is the 819135-th square number.

670982148225 is the 409568-th centered octagonal number.

It is an amenable number.

670982148225 is a deficient number, since it is larger than the sum of its proper divisors (590972359512).

670982148225 is an equidigital number, since it uses as much as digits as its factorization.

670982148225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 670982148225 in words is "six hundred seventy billion, nine hundred eighty-two million, one hundred forty-eight thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 109 135 167 225 327 405 501 545 675 835 981 1503 1635 2025 2505 2725 2943 4175 4509 4905 7515 8175 8829 11881 12525 13527 14715 18203 22545 24525 27889 35643 37575 44145 54609 59405 67635 73575 83667 91015 106929 112725 139445 163827 178215 220725 251001 273045 297025 320787 338175 418335 455075 491481 534645 697225 753003 819135 891075 962361 1255005 1365225 1474443 1603935 1984127 2091675 2259009 2457405 2673225 3039901 3765015 4095675 4811805 5952381 6275025 7372215 8019675 9119703 9920635 11295045 12287025 15199505 17857143 18825075 24059025 27359109 29761905 36861075 45598515 49603175 53571429 56475225 75997525 82077327 89285715 136795545 148809525 160714287 227992575 246231981 267857145 331349209 410386635 446428575 683977725 803571435 994047627 1231159905 1339285725 1656746045 2051933175 2982142881 4017857175 4970238135 6155799525 8283730225 8946428643 14910714405 24851190675 26839285929 44732143215 74553572025 134196429645 223660716075 670982148225