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75228550272 = 273280812
BaseRepresentation
bin100011000001111111…
…0001001010010000000
321012011210210022110200
41012003332021102000
52213032002102042
654320504525200
75302143061311
oct1060376112200
9235153708420
1075228550272
11299a46122a7
12126b5a80800
13712b748695
1438d91ac608
151e54660c4c
hex1183f89480

75228550272 has 72 divisors (see below), whose sum is σ = 216504781545. Its totient is φ = 25073080320.

The previous prime is 75228550247. The next prime is 75228550283. The reversal of 75228550272 is 27205582257.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

75228550272 is a `hidden beast` number, since 7 + 5 + 2 + 28 + 550 + 2 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 73276324416 + 1952225856 = 270696^2 + 44184^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=193944.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9305272 + ... + 9313352.

Almost surely, 275228550272 is an apocalyptic number.

75228550272 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

75228550272 is an abundant number, since it is smaller than the sum of its proper divisors (141276231273).

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

75228550272 is an frugal number, since it uses more digits than its factorization.

75228550272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16182 (or 8086 counting only the distinct ones).

The product of its (nonzero) digits is 784000, while the sum is 45.

The spelling of 75228550272 in words is "seventy-five billion, two hundred twenty-eight million, five hundred fifty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 8081 16162 24243 32324 48486 64648 72729 96972 129296 145458 193944 258592 290916 387888 517184 581832 775776 1034368 1163664 1551552 2327328 3103104 4654656 9309312 65302561 130605122 195907683 261210244 391815366 522420488 587723049 783630732 1044840976 1175446098 1567261464 2089681952 2350892196 3134522928 4179363904 4701784392 6269045856 8358727808 9403568784 12538091712 18807137568 25076183424 37614275136 75228550272