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387228458097 = 3213194312013373
BaseRepresentation
bin1011010001010001001…
…11010101110001110001
31101000111121122211010100
411220220213111301301
522321020441124342
6453520145423013
736655611404655
oct5505047256161
91330447584110
10387228458097
1113a24a407998
126306a03aa69
132a6916a8b60
1414a55d06a65
15a115572e4c
hex5a289d5c71

387228458097 has 96 divisors (see below), whose sum is σ = 649536567680. Its totient is φ = 220253644800.

The previous prime is 387228458093. The next prime is 387228458101. The reversal of 387228458097 is 790854822783.

387228458097 is a `hidden beast` number, since 3 + 8 + 72 + 28 + 458 + 0 + 97 = 666.

It is an interprime number because it is at equal distance from previous prime (387228458093) and next prime (387228458101).

It is not a de Polignac number, because 387228458097 - 22 = 387228458093 is a prime.

It is a super-2 number, since 2×3872284580972 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (387228458093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 114800703 + ... + 114804075.

Almost surely, 2387228458097 is an apocalyptic number.

It is an amenable number.

387228458097 is a deficient number, since it is larger than the sum of its proper divisors (262308109583).

387228458097 is a wasteful number, since it uses less digits than its factorization.

387228458097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4655 (or 4652 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 387228458097 in words is "three hundred eighty-seven billion, two hundred twenty-eight million, four hundred fifty-eight thousand, ninety-seven".

Divisors: 1 3 9 13 19 39 43 57 117 129 171 247 387 559 741 817 1201 1677 2223 2451 3373 3603 5031 7353 10119 10621 10809 15613 22819 30357 31863 43849 46839 51643 64087 68457 95589 131547 140517 145039 154929 192261 205371 296647 394641 435117 464787 576783 671359 833131 889941 981217 1305351 1885507 2014077 2499393 2669823 2755741 2943651 4050973 5656521 6042231 7498179 8267223 8830953 12152919 12755821 16969563 24801669 35824633 36458757 38267463 52662649 76968487 107473899 114802389 157987947 174191839 230905461 322421697 473963841 522575517 692716383 1000590331 1567726551 2264493907 3001770993 3309644941 6793481721 9005312979 9928934823 20380445163 29786804469 43025384233 129076152699 387228458097