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2033980875 = 34531997109
BaseRepresentation
bin111100100111100…
…0001010111001011
312020202021221020000
41321033001113023
513131144342000
6533455134043
7101255360253
oct17117012713
95222257200
102033980875
11954146a33
12489214323
132655142a4
141541c2963
15bd876000
hex793c15cb

2033980875 has 160 divisors (see below), whose sum is σ = 4069665600. Its totient is φ = 1007769600.

The previous prime is 2033980853. The next prime is 2033980877. The reversal of 2033980875 is 5780893302.

It is not a de Polignac number, because 2033980875 - 29 = 2033980363 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 2033980875.

It is not an unprimeable number, because it can be changed into a prime (2033980877) 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 159 ways as a sum of consecutive naturals, for example, 18660321 + ... + 18660429.

It is an arithmetic number, because the mean of its divisors is an integer number (25435410).

Almost surely, 22033980875 is an apocalyptic number.

2033980875 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2033980875 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

2033980875 is a wasteful number, since it uses less digits than its factorization.

2033980875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 2033980875 is about 45099.6771052743. The cubic root of 2033980875 is about 1267.0165517359.

The spelling of 2033980875 in words is "two billion, thirty-three million, nine hundred eighty thousand, eight hundred seventy-five".

Divisors: 1 3 5 9 15 19 25 27 45 57 75 81 95 97 109 125 135 171 225 285 291 327 375 405 475 485 513 545 675 855 873 981 1125 1425 1455 1539 1635 1843 2025 2071 2375 2425 2565 2619 2725 2943 3375 4275 4365 4905 5529 6213 7125 7275 7695 7857 8175 8829 9215 10125 10355 10573 12125 12825 13095 13625 14715 16587 18639 21375 21825 24525 27645 31065 31719 36375 38475 39285 40875 44145 46075 49761 51775 52865 55917 64125 65475 73575 82935 93195 95157 109125 122625 138225 149283 155325 158595 167751 192375 196425 200887 220725 230375 248805 258875 264325 279585 285471 327375 367875 414675 465975 475785 602661 691125 746415 776625 792975 838755 856413 982125 1004435 1103625 1244025 1321625 1397925 1427355 1807983 2073375 2329875 2378925 3013305 3732075 3964875 4193775 4282065 5022175 5423949 6220125 6989625 7136775 9039915 11894625 15066525 16271847 18660375 20968875 21410325 25110875 27119745 35683875 45199575 75332625 81359235 107051625 135598725 225997875 406796175 677993625 2033980875