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30590671200 = 2535212746113
BaseRepresentation
bin11100011111010110…
…001001100101100000
32220221220202002221020
4130133112021211200
51000122202434300
622015252125440
72132031262215
oct343726114540
986856662836
1030590671200
1111a78700051
125b18906880
132b6687579b
1416a2a83b0c
15be09028a0
hex71f589960

30590671200 has 72 divisors (see below), whose sum is σ = 99572642568. Its totient is φ = 8157511680.

The previous prime is 30590671183. The next prime is 30590671201. The reversal of 30590671200 is 217609503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30590671201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6370657 + ... + 6375456.

It is an arithmetic number, because the mean of its divisors is an integer number (1382953369).

Almost surely, 230590671200 is an apocalyptic number.

30590671200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30590671200 is an abundant number, since it is smaller than the sum of its proper divisors (68981971368).

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

30590671200 is a wasteful number, since it uses less digits than its factorization.

30590671200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12746136 (or 12746123 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The spelling of 30590671200 in words is "thirty billion, five hundred ninety million, six hundred seventy-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 12746113 25492226 38238339 50984452 63730565 76476678 101968904 127461130 152953356 191191695 203937808 254922260 305906712 318652825 382383390 407875616 509844520 611813424 637305650 764766780 955958475 1019689040 1223626848 1274611300 1529533560 1911916950 2039378080 2549222600 3059067120 3823833900 5098445200 6118134240 7647667800 10196890400 15295335600 30590671200