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30380320872 = 23321123487181
BaseRepresentation
bin11100010010110011…
…101110100001101000
32220102020221012112100
4130102303232201220
5444204330231442
621542335413400
72123565316026
oct342263564150
986366835470
1030380320872
111197a998800
125a7a384260
132b32106335
141682b69716
15bcc20184c
hex712cee868

30380320872 has 72 divisors (see below), whose sum is σ = 90440065170. Its totient is φ = 9206155200.

The previous prime is 30380320823. The next prime is 30380320897. The reversal of 30380320872 is 27802308303.

30380320872 is a `hidden beast` number, since 3 + 0 + 380 + 3 + 208 + 72 = 666.

It can be written as a sum of positive squares in only one way, i.e., 29197923876 + 1182396996 = 170874^2 + 34386^2 .

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 an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 1734879 + ... + 1752302.

Almost surely, 230380320872 is an apocalyptic number.

It is an amenable number.

30380320872 is an abundant number, since it is smaller than the sum of its proper divisors (60059744298).

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

30380320872 is a wasteful number, since it uses less digits than its factorization.

30380320872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3487215 (or 3487197 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 30380320872 in words is "thirty billion, three hundred eighty million, three hundred twenty thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 484 726 792 968 1089 1452 2178 2904 4356 8712 3487181 6974362 10461543 13948724 20923086 27897448 31384629 38358991 41846172 62769258 76717982 83692344 115076973 125538516 153435964 230153946 251077032 306871928 345230919 421948901 460307892 690461838 843897802 920615784 1265846703 1380923676 1687795604 2531693406 2761847352 3375591208 3797540109 5063386812 7595080218 10126773624 15190160436 30380320872