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10074434337 = 3211187354331
BaseRepresentation
bin10010110000111101…
…11010101100100001
3222000002211021211200
421120132322230201
5131113023344322
64343402031413
7504440164452
oct113036725441
928002737750
1010074434337
1142aa8346a0
121b51aa8569
13c4724c466
146b7dbb129
153de6b28ac
hex2587bab21

10074434337 has 24 divisors (see below), whose sum is σ = 15883634208. Its totient is φ = 6102345600.

The previous prime is 10074434317. The next prime is 10074434339. The reversal of 10074434337 is 73343447001.

10074434337 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 10074434337 - 26 = 10074434273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10074434339) 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 23 ways as a sum of consecutive naturals, for example, 158262 + ... + 212592.

It is an arithmetic number, because the mean of its divisors is an integer number (661818092).

Almost surely, 210074434337 is an apocalyptic number.

It is an amenable number.

10074434337 is a deficient number, since it is larger than the sum of its proper divisors (5809199871).

10074434337 is a wasteful number, since it uses less digits than its factorization.

10074434337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56221 (or 56218 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

It can be divided in two parts, 1007 and 4434337, that added together give a palindrome (4435344).

The spelling of 10074434337 in words is "ten billion, seventy-four million, four hundred thirty-four thousand, three hundred thirty-seven".

Divisors: 1 3 9 11 33 99 1873 5619 16857 20603 54331 61809 162993 185427 488979 597641 1792923 5378769 101761963 305285889 915857667 1119381593 3358144779 10074434337