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34052103136 = 2553101269739
BaseRepresentation
bin11111101101101010…
…011101101111100000
310020220011001001220001
4133231222131233200
51024214314300021
623350542425344
72313562046422
oct375552355740
9106804031801
1034052103136
11134945850a7
126723b92254
133298a2a26c
141910682812
15d44742091
hex7eda9dbe0

34052103136 has 96 divisors (see below), whose sum is σ = 69331399200. Its totient is φ = 16455628800.

The previous prime is 34052103077. The next prime is 34052103143. The reversal of 34052103136 is 63130125043.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46078255 + ... + 46078993.

It is an arithmetic number, because the mean of its divisors is an integer number (722202075).

Almost surely, 234052103136 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 34052103136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34665699600).

34052103136 is an abundant number, since it is smaller than the sum of its proper divisors (35279296064).

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

34052103136 is a wasteful number, since it uses less digits than its factorization.

34052103136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1172 (or 1164 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

Adding to 34052103136 its reverse (63130125043), we get a palindrome (97182228179).

The spelling of 34052103136 in words is "thirty-four billion, fifty-two million, one hundred three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 32 53 101 106 202 212 269 404 424 538 739 808 848 1076 1478 1616 1696 2152 2956 3232 4304 5353 5912 8608 10706 11824 14257 21412 23648 27169 28514 39167 42824 54338 57028 74639 78334 85648 108676 114056 149278 156668 171296 198791 217352 228112 298556 313336 397582 434704 456224 597112 626672 795164 869408 1194224 1253344 1439957 1590328 2388448 2879914 3180656 3955867 5759828 6361312 7911734 10535923 11519656 15823468 20077891 21071846 23039312 31646936 40155782 42143692 46078624 63293872 80311564 84287384 126587744 160623128 168574768 321246256 337149536 642492512 1064128223 2128256446 4256512892 8513025784 17026051568 34052103136