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381718082272 = 2543582147657
BaseRepresentation
bin1011000111000000010…
…10111011001011100000
31100111021120220201112211
411203200022323023200
522223224312113042
6451205303131504
736402221110222
oct5434012731340
91314246821484
10381718082272
111379819a6a8a
1261b90743b94
1329cc3ba1547
141469214c412
159de1904017
hex58e02bb2e0

381718082272 has 48 divisors (see below), whose sum is σ = 769132636272. Its totient is φ = 186384522240.

The previous prime is 381718082231. The next prime is 381718082279. The reversal of 381718082272 is 272280817183.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381718082279) 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 7 ways as a sum of consecutive naturals, for example, 7985868 + ... + 8033524.

It is an arithmetic number, because the mean of its divisors is an integer number (16023596589).

Almost surely, 2381718082272 is an apocalyptic number.

381718082272 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

381718082272 is an abundant number, since it is smaller than the sum of its proper divisors (387414554000).

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

381718082272 is a wasteful number, since it uses less digits than its factorization.

381718082272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53531 (or 53523 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 49.

The spelling of 381718082272 in words is "three hundred eighty-one billion, seven hundred eighteen million, eighty-two thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 32 43 86 172 344 688 1376 5821 11642 23284 46568 47657 93136 95314 186272 190628 250303 381256 500606 762512 1001212 1525024 2002424 2049251 4004848 4098502 8009696 8197004 16394008 32788016 65576032 277411397 554822794 1109645588 2219291176 4438582352 8877164704 11928690071 23857380142 47714760284 95429520568 190859041136 381718082272