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2133676896 = 253131989983
BaseRepresentation
bin111111100101101…
…0101001101100000
312111200220000110020
41333023111031200
513332210130041
6551420033440
7103605645231
oct17713251540
95450800406
102133676896
119a545003a
124b6692880
1328007c610
14163535088
15c74ba866
hex7f2d5360

2133676896 has 96 divisors (see below), whose sum is σ = 6349271040. Its totient is φ = 621955584.

The previous prime is 2133676873. The next prime is 2133676913. The reversal of 2133676896 is 6986763312.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21280 + ... + 68703.

It is an arithmetic number, because the mean of its divisors is an integer number (66138240).

Almost surely, 22133676896 is an apocalyptic number.

2133676896 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2133676896 is an abundant number, since it is smaller than the sum of its proper divisors (4215594144).

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

2133676896 is a wasteful number, since it uses less digits than its factorization.

2133676896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90028 (or 90020 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 51.

The square root of 2133676896 is about 46191.7405604075. The cubic root of 2133676896 is about 1287.3882812039.

The spelling of 2133676896 in words is "two billion, one hundred thirty-three million, six hundred seventy-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 76 78 96 104 114 152 156 208 228 247 304 312 416 456 494 608 624 741 912 988 1248 1482 1824 1976 2964 3952 5928 7904 11856 23712 89983 179966 269949 359932 539898 719864 1079796 1169779 1439728 1709677 2159592 2339558 2879456 3419354 3509337 4319184 4679116 5129031 6838708 7018674 8638368 9358232 10258062 13677416 14037348 18716464 20516124 22225801 27354832 28074696 37432928 41032248 44451602 54709664 56149392 66677403 82064496 88903204 112298784 133354806 164128992 177806408 266709612 355612816 533419224 711225632 1066838448 2133676896