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4538011968 = 263271125499
BaseRepresentation
bin1000011100111110…
…01001000101000000
3102201021001220010100
410032133021011000
533243212340333
62030145202400
7220312315410
oct41637110500
912637056110
104538011968
111a19653616
12a67930400
135742254a9
143109a2640
151b85eb213
hex10e7c9140

4538011968 has 84 divisors (see below), whose sum is σ = 14865604000. Its totient is φ = 1296573696.

The previous prime is 4538011921. The next prime is 4538011981. The reversal of 4538011968 is 8691108354.

4538011968 is a `hidden beast` number, since 453 + 8 + 0 + 1 + 196 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (84).

It is a super-2 number, since 2×45380119682 = 41187105243422466048, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 558718 + ... + 566781.

Almost surely, 24538011968 is an apocalyptic number.

4538011968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4538011968 is an abundant number, since it is smaller than the sum of its proper divisors (10327592032).

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

4538011968 is a wasteful number, since it uses less digits than its factorization.

4538011968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125524 (or 1125511 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 4538011968 is about 67364.7680022725. The cubic root of 4538011968 is about 1655.5992168804.

The spelling of 4538011968 in words is "four billion, five hundred thirty-eight million, eleven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 1125499 2250998 3376497 4501996 6752994 7878493 9003992 10129491 13505988 15756986 18007984 20258982 23635479 27011976 31513972 36015968 40517964 47270958 54023952 63027944 70906437 72031936 81035928 94541916 108047904 126055888 141812874 162071856 189083832 216095808 252111776 283625748 324143712 378167664 504223552 567251496 648287424 756335328 1134502992 1512670656 2269005984 4538011968