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34518888552 = 23317195384017
BaseRepresentation
bin100000001001011111…
…000111000001101000
310022002200101020002210
4200021133013001220
51031143313413202
623505135325120
72331260466021
oct401137070150
9108080336083
1034518888552
1113704015975
1268343807a0
133341653155
14195666dc48
15d706e8c6c
hex8097c7068

34518888552 has 128 divisors (see below), whose sum is σ = 97998595200. Its totient is φ = 10065788928.

The previous prime is 34518888541. The next prime is 34518888553. The reversal of 34518888552 is 25588881543.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 34518888492 and 34518888501.

It is not an unprimeable number, because it can be changed into a prime (34518888553) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 368848 + ... + 452864.

It is an arithmetic number, because the mean of its divisors is an integer number (765614025).

Almost surely, 234518888552 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 34518888552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48999297600).

34518888552 is an abundant number, since it is smaller than the sum of its proper divisors (63479706648).

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

34518888552 is a wasteful number, since it uses less digits than its factorization.

34518888552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84115 (or 84111 counting only the distinct ones).

The product of its digits is 12288000, while the sum is 57.

The spelling of 34518888552 in words is "thirty-four billion, five hundred eighteen million, eight hundred eighty-eight thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 17 19 24 34 38 51 53 57 68 76 102 106 114 136 152 159 204 212 228 318 323 408 424 456 636 646 901 969 1007 1272 1292 1802 1938 2014 2584 2703 3021 3604 3876 4028 5406 6042 7208 7752 8056 10812 12084 17119 21624 24168 34238 51357 68476 84017 102714 136952 168034 205428 252051 336068 410856 504102 672136 1008204 1428289 1596323 2016408 2856578 3192646 4284867 4452901 4788969 5713156 6385292 8569734 8905802 9577938 11426312 12770584 13358703 17139468 17811604 19155876 26717406 27137491 34278936 35623208 38311752 53434812 54274982 75699317 81412473 84605119 106869624 108549964 151398634 162824946 169210238 217099928 227097951 253815357 302797268 325649892 338420476 454195902 507630714 605594536 651299784 676840952 908391804 1015261428 1438287023 1816783608 2030522856 2876574046 4314861069 5753148092 8629722138 11506296184 17259444276 34518888552