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75749351076 = 22327265532
BaseRepresentation
bin100011010001100000…
…0110101111010100100
321020112002202201212100
41012203000311322210
52220113313213301
654444311252100
75321065601100
oct1064300657244
9236462681770
1075749351076
112a141596693
121282037a030
1371b2604539
14394841a900
151e85237286
hex11a3035ea4

75749351076 has 81 divisors (see below), whose sum is σ = 222773158881. Its totient is φ = 21639369024.

The previous prime is 75749351071. The next prime is 75749351089. The reversal of 75749351076 is 67015394757.

The square root of 75749351076 is 275226.

It is a perfect power (a square), and thus also a powerful number.

75749351076 is a `hidden beast` number, since 7 + 57 + 4 + 9 + 3 + 510 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 25673652900 + 50075698176 = 160230^2 + 223776^2 .

It is not an unprimeable number, because it can be changed into a prime (75749351071) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11556216 + ... + 11562768.

Almost surely, 275749351076 is an apocalyptic number.

75749351076 is the 275226-th square number.

It is an amenable number.

75749351076 is an abundant number, since it is smaller than the sum of its proper divisors (147023807805).

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

75749351076 is an equidigital number, since it uses as much as digits as its factorization.

75749351076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13130 (or 6565 counting only the distinct ones).

The product of its (nonzero) digits is 5556600, while the sum is 54.

The spelling of 75749351076 in words is "seventy-five billion, seven hundred forty-nine million, three hundred fifty-one thousand, seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 6553 13106 19659 26212 39318 45871 58977 78636 91742 117954 137613 183484 235908 275226 321097 412839 550452 642194 825678 963291 1284388 1651356 1926582 2889873 3853164 5779746 11559492 42941809 85883618 128825427 171767236 257650854 300592663 386476281 515301708 601185326 772952562 901777989 1202370652 1545905124 1803555978 2104148641 2705333967 3607111956 4208297282 5410667934 6312445923 8416594564 10821335868 12624891846 18937337769 25249783692 37874675538 75749351076