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2628104832 = 2733760447
BaseRepresentation
bin1001110010100101…
…1011001010000000
320210011020120002000
42130221123022000
520340243323312
61112441224000
7122061344133
oct23451331200
96704216060
102628104832
111129551071
12614192000
1332b633422
141ad07a21a
15105ad2adc
hex9ca5b280

2628104832 has 64 divisors (see below), whose sum is σ = 7756569600. Its totient is φ = 876033792.

The previous prime is 2628104827. The next prime is 2628104849. The reversal of 2628104832 is 2384018262.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 376768 + ... + 383679.

It is an arithmetic number, because the mean of its divisors is an integer number (121196400).

Almost surely, 22628104832 is an apocalyptic number.

It is an amenable number.

2628104832 is an abundant number, since it is smaller than the sum of its proper divisors (5128464768).

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

2628104832 is an equidigital number, since it uses as much as digits as its factorization.

2628104832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760470 (or 760452 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2628104832 is about 51265.0449331706. The cubic root of 2628104832 is about 1380.0057466679.

The spelling of 2628104832 in words is "two billion, six hundred twenty-eight million, one hundred four thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 760447 1520894 2281341 3041788 4562682 6083576 6844023 9125364 12167152 13688046 18250728 20532069 24334304 27376092 36501456 41064138 48668608 54752184 73002912 82128276 97337216 109504368 146005824 164256552 219008736 292011648 328513104 438017472 657026208 876034944 1314052416 2628104832