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34361111136 = 25311104931019
BaseRepresentation
bin100000000000000101…
…001111001001100000
310021200200111022011210
4200000011033021200
51030332421024021
623441341510120
72324333424402
oct400005171140
9107620438153
1034361111136
1113632a51410
1267ab572340
133317a60231
14193d71cb72
15d6192ee76
hex80014f260

34361111136 has 96 divisors (see below), whose sum is σ = 98494704000. Its totient is φ = 10402196480.

The previous prime is 34361111131. The next prime is 34361111207. The reversal of 34361111136 is 63111116343.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34361111131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1092235 + ... + 1123253.

It is an arithmetic number, because the mean of its divisors is an integer number (1025986500).

Almost surely, 234361111136 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 34361111136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49247352000).

34361111136 is an abundant number, since it is smaller than the sum of its proper divisors (64133592864).

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

34361111136 is a wasteful number, since it uses less digits than its factorization.

34361111136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32092 (or 32084 counting only the distinct ones).

The product of its digits is 3888, while the sum is 30.

Adding to 34361111136 its reverse (63111116343), we get a palindrome (97472227479).

The spelling of 34361111136 in words is "thirty-four billion, three hundred sixty-one million, one hundred eleven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1049 1056 2098 3147 4196 6294 8392 11539 12588 16784 23078 25176 31019 33568 34617 46156 50352 62038 69234 92312 93057 100704 124076 138468 184624 186114 248152 276936 341209 369248 372228 496304 553872 682418 744456 992608 1023627 1107744 1364836 1488912 2047254 2729672 2977824 4094508 5459344 8189016 10918688 16378032 32538931 32756064 65077862 97616793 130155724 195233586 260311448 357928241 390467172 520622896 715856482 780934344 1041245792 1073784723 1431712964 1561868688 2147569446 2863425928 3123737376 4295138892 5726851856 8590277784 11453703712 17180555568 34361111136