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873053153952 = 25371299186241
BaseRepresentation
bin11001011010001100000…
…01011110101010100000
310002110111120112110201020
430231012001132222200
5103301003101411302
61505024115005440
7120035033236110
oct14550601365240
93073446473636
10873053153952
113072948215a1
12121253899880
1364436ac93a5
143038265d040
1517a9b995ebc
hexcb4605eaa0

873053153952 has 48 divisors (see below), whose sum is σ = 2619159463872. Its totient is φ = 249443758080.

The previous prime is 873053153881. The next prime is 873053153953. The reversal of 873053153952 is 259351350378.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×8730531539522 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 873053153895 and 873053153904.

It is not an unprimeable number, because it can be changed into a prime (873053153953) by changing a digit.

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, 649592449 + ... + 649593792.

It is an arithmetic number, because the mean of its divisors is an integer number (54565822164).

Almost surely, 2873053153952 is an apocalyptic number.

It is an amenable number.

873053153952 is an abundant number, since it is smaller than the sum of its proper divisors (1746106309920).

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

873053153952 is a wasteful number, since it uses less digits than its factorization.

873053153952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1299186261 (or 1299186253 counting only the distinct ones).

The product of its (nonzero) digits is 3402000, while the sum is 51.

The spelling of 873053153952 in words is "eight hundred seventy-three billion, fifty-three million, one hundred fifty-three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 1299186241 2598372482 3897558723 5196744964 7795117446 9094303687 10393489928 15590234892 18188607374 20786979856 27282911061 31180469784 36377214748 41573959712 54565822122 62360939568 72754429496 109131644244 124721879136 145508858992 218263288488 291017717984 436526576976 873053153952