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3938898816 = 273219179957
BaseRepresentation
bin1110101011000110…
…1101001110000000
3101011111201210101100
43222301231032000
531031324230231
61450504134400
7166416042006
oct35261551600
911144653340
103938898816
111741450a86
1291b167400
134aa07a478
142951aaa76
15180c061e6
hexeac6d380

3938898816 has 96 divisors (see below), whose sum is σ = 11931215400. Its totient is φ = 1243855872.

The previous prime is 3938898767. The next prime is 3938898829. The reversal of 3938898816 is 6188988393.

3938898816 is a `hidden beast` number, since 393 + 88 + 98 + 81 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×39388988163 (a number of 30 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68091 + ... + 111866.

Almost surely, 23938898816 is an apocalyptic number.

3938898816 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3938898816 is an abundant number, since it is smaller than the sum of its proper divisors (7992316584).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3938898816 is a wasteful number, since it uses less digits than its factorization.

3938898816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179996 (or 179981 counting only the distinct ones).

The product of its digits is 17915904, while the sum is 63.

The square root of 3938898816 is about 62760.6470329935. The cubic root of 3938898816 is about 1579.2768703939.

The spelling of 3938898816 in words is "three billion, nine hundred thirty-eight million, eight hundred ninety-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 288 304 342 384 456 576 608 684 912 1152 1216 1368 1824 2432 2736 3648 5472 7296 10944 21888 179957 359914 539871 719828 1079742 1439656 1619613 2159484 2879312 3239226 3419183 4318968 5758624 6478452 6838366 8637936 10257549 11517248 12956904 13676732 17275872 20515098 23034496 25913808 27353464 30772647 34551744 41030196 51827616 54706928 61545294 69103488 82060392 103655232 109413856 123090588 164120784 207310464 218827712 246181176 328241568 437655424 492362352 656483136 984724704 1312966272 1969449408 3938898816