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34533045216 = 2532891347263
BaseRepresentation
bin100000001010010101…
…000111001111100000
310022010200000110101200
4200022111013033200
51031210424421331
623510403001200
72331522020055
oct401225071740
9108120013350
1034533045216
1113711004a9a
126839069200
13334456b987
1419584b702c
15d71a935e6
hex80a5473e0

34533045216 has 72 divisors (see below), whose sum is σ = 99306829440. Its totient is φ = 11381669376.

The previous prime is 34533045179. The next prime is 34533045257. The reversal of 34533045216 is 61254033543.

34533045216 is a `hidden beast` number, since 345 + 3 + 304 + 5 + 2 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 648000 + ... + 699263.

It is an arithmetic number, because the mean of its divisors is an integer number (1379261520).

Almost surely, 234533045216 is an apocalyptic number.

34533045216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34533045216 is an abundant number, since it is smaller than the sum of its proper divisors (64773784224).

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

34533045216 is a wasteful number, since it uses less digits than its factorization.

34533045216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1347368 (or 1347357 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 34533045216 its reverse (61254033543), we get a palindrome (95787078759).

The spelling of 34533045216 in words is "thirty-four billion, five hundred thirty-three million, forty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 89 96 144 178 267 288 356 534 712 801 1068 1424 1602 2136 2848 3204 4272 6408 8544 12816 25632 1347263 2694526 4041789 5389052 8083578 10778104 12125367 16167156 21556208 24250734 32334312 43112416 48501468 64668624 97002936 119906407 129337248 194005872 239812814 359719221 388011744 479625628 719438442 959251256 1079157663 1438876884 1918502512 2158315326 2877753768 3837005024 4316630652 5755507536 8633261304 11511015072 17266522608 34533045216