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34045365016 = 2313229868327
BaseRepresentation
bin11111101101010000…
…110000101100011000
310020212200100201221001
4133231100300230120
51024211103140031
623350142154344
72313450553645
oct375520605430
9106780321831
1034045365016
11134907a2703
1267218829b4
13329750b300
14190d80adcc
15d43d60861
hex7ed430b18

34045365016 has 48 divisors (see below), whose sum is σ = 71506810800. Its totient is φ = 15171391872.

The previous prime is 34045364971. The next prime is 34045365017. The reversal of 34045365016 is 61056354043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34045365017) 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, 394956 + ... + 473371.

It is an arithmetic number, because the mean of its divisors is an integer number (1489725225).

Almost surely, 234045365016 is an apocalyptic number.

It is an amenable number.

34045365016 is an abundant number, since it is smaller than the sum of its proper divisors (37461445784).

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

34045365016 is a wasteful number, since it uses less digits than its factorization.

34045365016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868388 (or 868371 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 37.

The spelling of 34045365016 in words is "thirty-four billion, forty-five million, three hundred sixty-five thousand, sixteen".

Divisors: 1 2 4 8 13 26 29 52 58 104 116 169 232 338 377 676 754 1352 1508 3016 4901 9802 19604 39208 868327 1736654 3473308 6946616 11288251 22576502 25181483 45153004 50362966 90306008 100725932 146747263 201451864 293494526 327359279 586989052 654718558 1173978104 1309437116 2618874232 4255670627 8511341254 17022682508 34045365016