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34051361552 = 2413896472843
BaseRepresentation
bin11111101101100111…
…101000101100010000
310020220002122101121222
4133231213220230100
51024214122032202
623350514504212
72313552540365
oct375547505420
9106802571558
1034051361552
1113494118a1a
126723895068
13329882a860
14191052c46c
15d446474a2
hex7ed9e8b10

34051361552 has 80 divisors (see below), whose sum is σ = 71984142720. Its totient is φ = 15509953536.

The previous prime is 34051361497. The next prime is 34051361557. The reversal of 34051361552 is 25516315043.

It is not an unprimeable number, because it can be changed into a prime (34051361557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11975843 + ... + 11978685.

It is an arithmetic number, because the mean of its divisors is an integer number (899801784).

Almost surely, 234051361552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34051361552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35992071360).

34051361552 is an abundant number, since it is smaller than the sum of its proper divisors (37932781168).

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

34051361552 is a wasteful number, since it uses less digits than its factorization.

34051361552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3600 (or 3594 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 35.

Adding to 34051361552 its reverse (25516315043), we get a palindrome (59567676595).

The spelling of 34051361552 in words is "thirty-four billion, fifty-one million, three hundred sixty-one thousand, five hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 52 89 104 178 208 356 647 712 1157 1294 1424 2314 2588 2843 4628 5176 5686 8411 9256 10352 11372 16822 18512 22744 33644 36959 45488 57583 67288 73918 115166 134576 147836 230332 253027 295672 460664 506054 591344 748579 921328 1012108 1497158 1839421 2024216 2994316 3289351 3678842 4048432 5988632 6578702 7357684 11977264 13157404 14715368 23912473 26314808 29430736 47824946 52629616 95649892 163708469 191299784 327416938 382599568 654833876 1309667752 2128210097 2619335504 4256420194 8512840388 17025680776 34051361552