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6145272320 = 29511218227
BaseRepresentation
bin1011011100100100…
…10110101000000000
3120212021102011211112
411232102112220000
5100041142203240
62453442302452
7305166644555
oct55622265000
916767364745
106145272320
112673934060
121236057a28
1376c200b15
14424226a2c
1525e781665
hex16e496a00

6145272320 has 80 divisors (see below), whose sum is σ = 16073801568. Its totient is φ = 2234634240.

The previous prime is 6145272293. The next prime is 6145272377. The reversal of 6145272320 is 232725416.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (32).

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 7 ways as a sum of consecutive naturals, for example, 80954 + ... + 137273.

Almost surely, 26145272320 is an apocalyptic number.

It is an amenable number.

6145272320 is an abundant number, since it is smaller than the sum of its proper divisors (9928529248).

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

6145272320 is a wasteful number, since it uses less digits than its factorization.

6145272320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218261 (or 218245 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 6145272320 is about 78391.7873249488. The cubic root of 6145272320 is about 1831.6692066879.

Adding to 6145272320 its reverse (232725416), we get a palindrome (6377997736).

The spelling of 6145272320 in words is "six billion, one hundred forty-five million, two hundred seventy-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 512 640 704 880 1280 1408 1760 2560 2816 3520 5632 7040 14080 28160 218227 436454 872908 1091135 1745816 2182270 2400497 3491632 4364540 4800994 6983264 8729080 9601988 12002485 13966528 17458160 19203976 24004970 27933056 34916320 38407952 48009940 55866112 69832640 76815904 96019880 111732224 139665280 153631808 192039760 279330560 307263616 384079520 558661120 614527232 768159040 1229054464 1536318080 3072636160 6145272320