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45814371669 = 32112389331683
BaseRepresentation
bin101010101010101111…
…111101010101010101
311101020212211012222100
4222222233331111111
51222311434343134
633014040552313
73211215506463
oct525257752525
9141225735870
1045814371669
1118480022590
128a67182699
134421856681
142308899833
1512d21a3999
hexaaabfd555

45814371669 has 96 divisors (see below), whose sum is σ = 76519572480. Its totient is φ = 26142969600.

The previous prime is 45814371619. The next prime is 45814371677. The reversal of 45814371669 is 96617341854.

45814371669 is a `hidden beast` number, since 4 + 581 + 43 + 7 + 16 + 6 + 9 = 666.

45814371669 is nontrivially palindromic in base 2 and base 8.

It is not a de Polignac number, because 45814371669 - 220 = 45813323093 is a prime.

It is a super-2 number, since 2×458143716692 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45814371619) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 67077802 + ... + 67078484.

It is an arithmetic number, because the mean of its divisors is an integer number (797078880).

Almost surely, 245814371669 is an apocalyptic number.

It is an amenable number.

45814371669 is a deficient number, since it is larger than the sum of its proper divisors (30705200811).

45814371669 is a wasteful number, since it uses less digits than its factorization.

45814371669 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143 (or 1140 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 45814371669 in words is "forty-five billion, eight hundred fourteen million, three hundred seventy-one thousand, six hundred sixty-nine".

Divisors: 1 3 9 11 23 33 69 89 99 207 253 267 331 683 759 801 979 993 2047 2049 2277 2937 2979 3641 6141 6147 7513 7613 8811 10923 15709 18423 22517 22539 22839 29459 32769 47127 60787 67551 67617 68517 83743 88377 141381 172799 182361 202653 226073 251229 265131 324049 518397 547083 668657 677557 678219 753687 972147 1398101 1555191 2005971 2032671 2034657 2486803 2916441 4194303 5199679 6017913 6098013 7453127 7460409 12582909 15379111 15599037 20120497 22359381 22381227 46137333 46797111 57196469 60361491 67078143 138411999 171589407 181084473 221325467 462771431 514768221 663976401 1388314293 1991929203 4164942879 5090485741 15271457223 45814371669