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72348461220 = 22357172258241
BaseRepresentation
bin100001101100001001…
…1011110100010100100
320220202002101122000210
41003120103132202210
52141132201224340
653123022335420
75140601526240
oct1033023364244
9226662348023
1072348461220
1128756902812
121203142a570
136a8cb59689
14370489b420
151d368a6180
hex10d84de8a4

72348461220 has 48 divisors (see below), whose sum is σ = 231515077248. Its totient is φ = 16536791040.

The previous prime is 72348461177. The next prime is 72348461249. The reversal of 72348461220 is 2216484327.

It is a happy 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, 86128701 + ... + 86129540.

It is an arithmetic number, because the mean of its divisors is an integer number (4823230776).

Almost surely, 272348461220 is an apocalyptic number.

72348461220 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

72348461220 is an abundant number, since it is smaller than the sum of its proper divisors (159166616028).

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

72348461220 is a wasteful number, since it uses less digits than its factorization.

72348461220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172258260 (or 172258258 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The spelling of 72348461220 in words is "seventy-two billion, three hundred forty-eight million, four hundred sixty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 172258241 344516482 516774723 689032964 861291205 1033549446 1205807687 1722582410 2067098892 2411615374 2583873615 3445164820 3617423061 4823230748 5167747230 6029038435 7234846122 10335494460 12058076870 14469692244 18087115305 24116153740 36174230610 72348461220