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10253121669 = 34731073449
BaseRepresentation
bin10011000110010001…
…00011100010000101
3222110120001112210000
421203020203202011
5131444244343134
64413223551513
7512040045000
oct114310434205
928416045700
1010253121669
11439169007a
121ba18bb599
13c752839cb
146d3a12537
1540020be99
hex263223885

10253121669 has 80 divisors (see below), whose sum is σ = 18033840000. Its totient is φ = 5802487488.

The previous prime is 10253121667. The next prime is 10253121679. The reversal of 10253121669 is 96612135201.

10253121669 is a `hidden beast` number, since 102 + 531 + 2 + 16 + 6 + 9 = 666.

It is not a de Polignac number, because 10253121669 - 21 = 10253121667 is a prime.

It is a super-2 number, since 2×102531216692 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10253121667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2971057 + ... + 2974505.

It is an arithmetic number, because the mean of its divisors is an integer number (225423000).

Almost surely, 210253121669 is an apocalyptic number.

It is an amenable number.

10253121669 is a deficient number, since it is larger than the sum of its proper divisors (7780718331).

10253121669 is an equidigital number, since it uses as much as digits as its factorization.

10253121669 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3589 (or 3566 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 10253121669 in words is "ten billion, two hundred fifty-three million, one hundred twenty-one thousand, six hundred sixty-nine".

Divisors: 1 3 7 9 21 27 49 63 81 107 147 189 321 343 441 567 749 963 1029 1323 2247 2889 3087 3449 3969 5243 6741 8667 9261 10347 15729 20223 24143 27783 31041 36701 47187 60669 72429 93123 110103 141561 169001 217287 279369 330309 369043 424683 507003 651861 990927 1107129 1183007 1521009 1955583 2583301 2972781 3321387 3549021 4563027 7749903 9964161 10647063 13689081 18083107 23249709 29892483 31941189 54249321 69749127 95823567 126581749 162747963 209247381 379745247 488243889 1139235741 1464731667 3417707223 10253121669