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7273048465881 = 34112272412
BaseRepresentation
bin110100111010110001101…
…1110000110000111011001
3221202022000020211012210000
41221311203132012013121
51423130200401402011
623245105313443213
71350313630634412
oct151654336060731
927668006735700
107273048465881
112354534284100
12995695270509
13409acb8156c3
141b2035b50809
15c92c6bed356
hex69d637861d9

7273048465881 has 45 divisors (see below), whose sum is σ = 11942604405039. Its totient is φ = 4407746349600.

The previous prime is 7273048465867. The next prime is 7273048465961. The reversal of 7273048465881 is 1885648403727.

It is a happy number.

The square root of 7273048465881 is 2696859.

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

7273048465881 is a `hidden beast` number, since 7 + 2 + 7 + 3 + 0 + 4 + 8 + 46 + 588 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7255971203481 + 17077262400 = 2693691^2 + 130680^2 .

It is not a de Polignac number, because 7273048465881 - 211 = 7273048463833 is a prime.

It is a super-2 number, since 2×72730484658812 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7273048465801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 266975421 + ... + 267002661.

Almost surely, 27273048465881 is an apocalyptic number.

7273048465881 is the 2696859-th square number.

7273048465881 is the 1348430-th centered octagonal number.

It is an amenable number.

7273048465881 is a deficient number, since it is larger than the sum of its proper divisors (4669555939158).

7273048465881 is an frugal number, since it uses more digits than its factorization.

7273048465881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54516 (or 27255 counting only the distinct ones).

The product of its (nonzero) digits is 72253440, while the sum is 63.

The spelling of 7273048465881 in words is "seven trillion, two hundred seventy-three billion, forty-eight million, four hundred sixty-five thousand, eight hundred eighty-one".

Divisors: 1 3 9 11 27 33 81 99 121 297 363 891 1089 3267 9801 27241 81723 245169 299651 735507 898953 2206521 2696859 3296161 8090577 9888483 24271731 29665449 88996347 266989041 742072081 2226216243 6678648729 8162792891 20035946187 24488378673 60107838561 73465136019 89790721801 220395408057 269372165403 661186224171 808116496209 2424349488627 7273048465881