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76675271409 = 3411227972
BaseRepresentation
bin100011101101000110…
…0111100101011110001
321022220122001100210000
41013122030330223301
52224012332141114
655120225100213
75353041024222
oct1073214745361
9238818040700
1076675271409
112a577212300
1212a3a487669
1372cc3a4ca9
1439d53a3249
151edb683e09
hex11da33caf1

76675271409 has 45 divisors (see below), whose sum is σ = 125943930651. Its totient is φ = 46453247280.

The previous prime is 76675271399. The next prime is 76675271417. The reversal of 76675271409 is 90417257667.

The square root of 76675271409 is 276903.

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

76675271409 is a `hidden beast` number, since 76 + 6 + 7 + 527 + 1 + 40 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 56689229025 + 19986042384 = 238095^2 + 141372^2 .

It is not a de Polignac number, because 76675271409 - 29 = 76675270897 is a prime.

It is not an unprimeable number, because it can be changed into a prime (76675271429) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 27411999 + ... + 27414795.

Almost surely, 276675271409 is an apocalyptic number.

76675271409 is the 276903-rd square number.

76675271409 is the 138452-nd centered octagonal number.

It is an amenable number.

76675271409 is a deficient number, since it is larger than the sum of its proper divisors (49268659242).

76675271409 is an frugal number, since it uses more digits than its factorization.

76675271409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5628 (or 2811 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 76675271409 in words is "seventy-six billion, six hundred seventy-five million, two hundred seventy-one thousand, four hundred nine".

Divisors: 1 3 9 11 27 33 81 99 121 297 363 891 1089 2797 3267 8391 9801 25173 30767 75519 92301 226557 276903 338437 830709 1015311 2492127 3045933 7823209 9137799 23469627 27413397 70408881 86055299 211226643 258165897 633679929 774497691 946608289 2323493073 2839824867 6970479219 8519474601 25558423803 76675271409