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10073371441 = 72712895479
BaseRepresentation
bin10010110000110101…
…10111001100110001
3222000000211021211011
421120122313030301
5131112240341231
64343323150521
7504425146600
oct113032671461
928000737734
1010073371441
1142aa179071
121b51675441
13c46c69723
146b7bc1a37
153de5529b1
hex2586b7331

10073371441 has 12 divisors (see below), whose sum is σ = 11883049920. Its totient is φ = 8512705320.

The previous prime is 10073371423. The next prime is 10073371453. The reversal of 10073371441 is 14417337001.

10073371441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10073371441 - 213 = 10073363249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10073371411) 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 11 ways as a sum of consecutive naturals, for example, 1444261 + ... + 1451218.

It is an arithmetic number, because the mean of its divisors is an integer number (990254160).

Almost surely, 210073371441 is an apocalyptic number.

It is an amenable number.

10073371441 is a deficient number, since it is larger than the sum of its proper divisors (1809678479).

10073371441 is an equidigital number, since it uses as much as digits as its factorization.

10073371441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2895564 (or 2895557 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 31.

The spelling of 10073371441 in words is "ten billion, seventy-three million, three hundred seventy-one thousand, four hundred forty-one".

Divisors: 1 7 49 71 497 3479 2895479 20268353 141878471 205579009 1439053063 10073371441