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8009990999008 = 2519731371317301
BaseRepresentation
bin111010010001111100010…
…1010110000101111100000
31001100202012001012201221121
41310203320222300233200
52022213430143432013
625011423345502024
71454463021052225
oct164437052605740
931322161181847
108009990999008
11260902210a709
12a94481941914
1346145377c6ab
141d998553b94c
15dd55914658d
hex748f8ab0be0

8009990999008 has 96 divisors (see below), whose sum is σ = 16949882910240. Its totient is φ = 3714912460800.

The previous prime is 8009990998937. The next prime is 8009990999069.

8009990999008 is nontrivially palindromic in base 10.

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, 5421958 + ... + 6739258.

It is an arithmetic number, because the mean of its divisors is an integer number (176561280315).

Almost surely, 28009990999008 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 8009990999008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8474941455120).

8009990999008 is an abundant number, since it is smaller than the sum of its proper divisors (8939891911232).

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

8009990999008 is a wasteful number, since it uses less digits than its factorization.

8009990999008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1317540 (or 1317532 counting only the distinct ones).

The product of its (nonzero) digits is 34012224, while the sum is 70.

The spelling of 8009990999008 in words is "eight trillion, nine billion, nine hundred ninety million, nine hundred ninety-nine thousand, eight".

Divisors: 1 2 4 8 16 19 32 38 73 76 137 146 152 274 292 304 548 584 608 1096 1168 1387 2192 2336 2603 2774 4384 5206 5548 10001 10412 11096 20002 20824 22192 40004 41648 44384 80008 83296 160016 190019 320032 380038 760076 1317301 1520152 2634602 3040304 5269204 6080608 10538408 21076816 25028719 42153632 50057438 96162973 100114876 180470237 192325946 200229752 360940474 384651892 400459504 721880948 769303784 800919008 1443761896 1538607568 1827096487 2887523792 3077215136 3428934503 3654192974 5775047584 6857869006 7308385948 13174327301 13715738012 14616771896 26348654602 27431476024 29233543792 52697309204 54862952048 58467087584 105394618408 109725904096 210789236816 250312218719 421578473632 500624437438 1001248874876 2002497749752 4004995499504 8009990999008