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960130032640 = 2105296466393
BaseRepresentation
bin11011111100011000011…
…01011010010000000000
310101210021010001020020021
431332030031122100000
5111212321242021030
62013024434423224
7126236626423102
oct15761415322000
93353233036207
10960130032640
11340209411349
121360b5731b14
136c70314388c
1434683247572
1519e963b797a
hexdf8c35a400

960130032640 has 88 divisors (see below), whose sum is σ = 2382607533240. Its totient is φ = 370808782848.

The previous prime is 960130032637. The next prime is 960130032679. The reversal of 960130032640 is 46230031069.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 61790027776 + 898340004864 = 248576^2 + 947808^2 .

It is a junction number, because it is equal to n+sod(n) for n = 960130032596 and 960130032605.

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 7 ways as a sum of consecutive naturals, for example, 3084717 + ... + 3381676.

It is an arithmetic number, because the mean of its divisors is an integer number (27075085605).

Almost surely, 2960130032640 is an apocalyptic number.

It is an amenable number.

960130032640 is an abundant number, since it is smaller than the sum of its proper divisors (1422477500600).

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

960130032640 is a wasteful number, since it uses less digits than its factorization.

960130032640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6466447 (or 6466429 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 34.

The spelling of 960130032640 in words is "nine hundred sixty billion, one hundred thirty million, thirty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 128 145 160 232 256 290 320 464 512 580 640 928 1024 1160 1280 1856 2320 2560 3712 4640 5120 7424 9280 14848 18560 29696 37120 74240 148480 6466393 12932786 25865572 32331965 51731144 64663930 103462288 129327860 187525397 206924576 258655720 375050794 413849152 517311440 750101588 827698304 937626985 1034622880 1500203176 1655396608 1875253970 2069245760 3000406352 3310793216 3750507940 4138491520 6000812704 6621586432 7501015880 8276983040 12001625408 15002031760 16553966080 24003250816 30004063520 33107932160 48006501632 60008127040 96013003264 120016254080 192026006528 240032508160 480065016320 960130032640