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8631145606149 = 3311210724690821
BaseRepresentation
bin111110110011001100001…
…0111100010110000000101
31010120010111101012011221000
41331212120113202300011
52112403041233344044
630205032112443513
71550402556103563
oct175463027426005
933503441164830
108631145606149
1128284a2754700
12b74935249599
134a7bb5074901
1421ba6d17ca33
15ee7b12a0d69
hex7d9985e2c05

8631145606149 has 48 divisors (see below), whose sum is σ = 14186358688320. Its totient is φ = 5182109301600.

The previous prime is 8631145606147. The next prime is 8631145606159. The reversal of 8631145606149 is 9416065411368.

8631145606149 is a `hidden beast` number, since 8 + 6 + 3 + 1 + 14 + 5 + 6 + 0 + 614 + 9 = 666.

It is not a de Polignac number, because 8631145606149 - 21 = 8631145606147 is a prime.

It is a super-2 number, since 2×86311456061492 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8631145606095 and 8631145606104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8631145606147) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11995842 + ... + 12694979.

It is an arithmetic number, because the mean of its divisors is an integer number (295549139340).

Almost surely, 28631145606149 is an apocalyptic number.

It is an amenable number.

8631145606149 is a deficient number, since it is larger than the sum of its proper divisors (5555213082171).

8631145606149 is a wasteful number, since it uses less digits than its factorization.

8631145606149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24690959 (or 24690942 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 8631145606149 in words is "eight trillion, six hundred thirty-one billion, one hundred forty-five million, six hundred six thousand, one hundred forty-nine".

Divisors: 1 3 9 11 27 33 99 107 121 297 321 363 963 1089 1177 2889 3267 3531 10593 12947 31779 38841 116523 349569 24690821 74072463 222217389 271599031 666652167 814797093 2444391279 2641917847 2987589341 7333173837 7925753541 8962768023 23777260623 26888304069 29061096317 71331781869 80664912207 87183288951 261549866853 319672059487 784649600559 959016178461 2877048535383 8631145606149