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4988153141361 = 331343947348991
BaseRepresentation
bin100100010010110010100…
…0110001001100001110001
3122122212021222011100112000
41020211211012021201301
51123211214201010421
614335305333124213
71023245041060515
oct110454506114161
918585258140460
104988153141361
1116535114532a5
126868a2489669
132a24c488b440
141335dc230145
1589b47651226
hex48965189871

4988153141361 has 64 divisors (see below), whose sum is σ = 8152006410240. Its totient is φ = 2995071266880.

The previous prime is 4988153141327. The next prime is 4988153141369. The reversal of 4988153141361 is 1631413518894.

4988153141361 is a `hidden beast` number, since 4 + 9 + 8 + 8 + 1 + 531 + 41 + 3 + 61 = 666.

It is not a de Polignac number, because 4988153141361 - 26 = 4988153141297 is a prime.

It is a super-2 number, since 2×49881531413612 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4988153141298 and 4988153141307.

It is not an unprimeable number, because it can be changed into a prime (4988153141369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14118576 + ... + 14467566.

It is an arithmetic number, because the mean of its divisors is an integer number (127375100160).

Almost surely, 24988153141361 is an apocalyptic number.

It is an amenable number.

4988153141361 is a deficient number, since it is larger than the sum of its proper divisors (3163853268879).

4988153141361 is a wasteful number, since it uses less digits than its factorization.

4988153141361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350003 (or 349997 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

The spelling of 4988153141361 in words is "four trillion, nine hundred eighty-eight billion, one hundred fifty-three million, one hundred forty-one thousand, three hundred sixty-one".

Divisors: 1 3 9 13 27 39 43 117 129 351 387 559 947 1161 1677 2841 5031 8523 12311 15093 25569 36933 40721 110799 122163 332397 348991 366489 529373 1046973 1099467 1588119 3140919 4536883 4764357 9422757 13610649 14293071 15006613 40831947 45019839 122495841 135059517 195085969 330494477 405178551 585257907 991483431 1755773721 2974450293 4296428201 5267321163 8923350879 12889284603 14211262511 38667853809 42633787533 116003561427 127901362599 184746412643 383704087797 554239237929 1662717713787 4988153141361