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75557838848 = 21330372
BaseRepresentation
bin100011001011110011…
…0010010000000000000
321020000202101220110212
41012113212102000000
52214220301320343
654413310413252
75313252014312
oct1062746220000
9236022356425
1075557838848
112a053480718
1212788201228
137181a2c6ab
14392ac077b2
151e73507c18
hex1197992000

75557838848 has 42 divisors (see below), whose sum is σ = 151156225881. Its totient is φ = 37766479872.

The previous prime is 75557838841. The next prime is 75557838857. The reversal of 75557838848 is 84883875557.

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.

It can be written as a sum of positive squares in 2 ways, for example, as 64980127744 + 10577711104 = 254912^2 + 102848^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=194368.

It is a super-2 number, since 2×755578388482 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (75557838841) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 24877586 + ... + 24880622.

Almost surely, 275557838848 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 75557838848

75557838848 is an abundant number, since it is smaller than the sum of its proper divisors (75598387033).

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

75557838848 is an frugal number, since it uses more digits than its factorization.

75557838848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6100 (or 3039 counting only the distinct ones).

The product of its digits is 301056000, while the sum is 68.

The spelling of 75557838848 in words is "seventy-five billion, five hundred fifty-seven million, eight hundred thirty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 3037 4096 6074 8192 12148 24296 48592 97184 194368 388736 777472 1554944 3109888 6219776 9223369 12439552 18446738 24879104 36893476 73786952 147573904 295147808 590295616 1180591232 2361182464 4722364928 9444729856 18889459712 37778919424 75557838848