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30164048272 = 24191576191021
BaseRepresentation
bin11100000101111010…
…101101100110010000
32212212011222102022001
4130011322231212100
5443233444021042
621505052123344
72115331115461
oct340572554620
985764872261
1030164048272
1111879900a16
125a19a66554
132ac9372397
14166214cd68
15bb8230bb7
hex705ead990

30164048272 has 80 divisors (see below), whose sum is σ = 62071374400. Its totient is φ = 14160407040.

The previous prime is 30164048263. The next prime is 30164048279. The reversal of 30164048272 is 27284046103.

It is not an unprimeable number, because it can be changed into a prime (30164048279) 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 15 ways as a sum of consecutive naturals, for example, 29543122 + ... + 29544142.

It is an arithmetic number, because the mean of its divisors is an integer number (775892180).

Almost surely, 230164048272 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 30164048272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31035687200).

30164048272 is an abundant number, since it is smaller than the sum of its proper divisors (31907326128).

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

30164048272 is a wasteful number, since it uses less digits than its factorization.

30164048272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1824 (or 1818 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 37.

The spelling of 30164048272 in words is "thirty billion, one hundred sixty-four million, forty-eight thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 19 38 76 152 157 304 314 619 628 1021 1238 1256 2042 2476 2512 2983 4084 4952 5966 8168 9904 11761 11932 16336 19399 23522 23864 38798 47044 47728 77596 94088 97183 155192 160297 188176 194366 310384 320594 388732 631999 641188 777464 1263998 1282376 1554928 1846477 2527996 2564752 3045643 3692954 5055992 6091286 7385908 10111984 12007981 12182572 14771816 24015962 24365144 29543632 48031924 48730288 96063848 99223843 192127696 198447686 396895372 793790744 1587581488 1885253017 3770506034 7541012068 15082024136 30164048272