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672745563693 = 337193674571117
BaseRepresentation
bin10011100101000101100…
…00101010011000101101
32101022110210110120201000
421302202300222120231
542010240331014233
61233015520110513
766414155640360
oct11624260523055
92338423416630
10672745563693
1123a345372275
12aa471165439
134b593b52658
14247bd7900d7
1512776513d13
hex9ca2c2a62d

672745563693 has 128 divisors (see below), whose sum is σ = 1205966028800. Its totient is φ = 362081539584.

The previous prime is 672745563661. The next prime is 672745563697. The reversal of 672745563693 is 396365547276.

672745563693 is a `hidden beast` number, since 6 + 7 + 2 + 7 + 4 + 5 + 563 + 69 + 3 = 666.

It is not a de Polignac number, because 672745563693 - 25 = 672745563661 is a prime.

It is a super-2 number, since 2×6727455636932 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 672745563693.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (672745563697) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 602278371 + ... + 602279487.

It is an arithmetic number, because the mean of its divisors is an integer number (9421609600).

Almost surely, 2672745563693 is an apocalyptic number.

672745563693 is a gapful number since it is divisible by the number (63) formed by its first and last digit.

It is an amenable number.

672745563693 is a deficient number, since it is larger than the sum of its proper divisors (533220465107).

672745563693 is a wasteful number, since it uses less digits than its factorization.

672745563693 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1976 (or 1970 counting only the distinct ones).

The product of its digits is 171460800, while the sum is 63.

The spelling of 672745563693 in words is "six hundred seventy-two billion, seven hundred forty-five million, five hundred sixty-three thousand, six hundred ninety-three".

Divisors: 1 3 7 9 19 21 27 57 63 133 171 189 367 399 457 513 1101 1117 1197 1371 2569 3199 3303 3351 3591 4113 6973 7707 7819 8683 9597 9909 10053 12339 20919 21223 23121 23457 26049 28791 30159 48811 60781 62757 63669 69363 70371 78147 86373 146433 148561 167719 182343 188271 191007 211113 234441 409939 439299 445683 503157 510469 547029 573021 1174033 1229817 1317897 1337049 1509471 1531407 1641087 2869573 3186661 3522099 3573283 3689451 4011147 4528413 4594221 7788841 8608719 9559983 9698911 10566297 10719849 11068353 13782663 22306627 23366523 25826157 28679949 29096733 31698891 32159547 54521887 66919881 67892377 70099569 77478471 86039847 87290199 96478641 163565661 187342123 200759643 203677131 210298707 261870597 490696983 562026369 602278929 611031393 1311394861 1472090949 1686079107 1833094179 3559500337 3934184583 5058237321 10678501011 11802553749 24916502359 32035503033 35407661247 74749507077 96106509099 224248521231 672745563693