Search a number
-
+
7071946479493 = 7219237916212579
BaseRepresentation
bin110011011101001000011…
…0110111001011110000101
3221001001221002221211010221
41212322100312321132011
51411331321244320433
623012450220144341
71326634266152200
oct146722066713605
927031832854127
107071946479493
112287217471255
129627106980b1
133c3b600cb69c
141a63d9574937
15c3e56b4e72d
hex66e90db9785

7071946479493 has 96 divisors (see below), whose sum is σ = 9159602688000. Its totient is φ = 5417975122560.

The previous prime is 7071946479487. The next prime is 7071946479547. The reversal of 7071946479493 is 3949746491707.

It is not a de Polignac number, because 7071946479493 - 233 = 7063356544901 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7071946479293) 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 95 ways as a sum of consecutive naturals, for example, 2742126078 + ... + 2742128656.

It is an arithmetic number, because the mean of its divisors is an integer number (95412528000).

Almost surely, 27071946479493 is an apocalyptic number.

It is an amenable number.

7071946479493 is a deficient number, since it is larger than the sum of its proper divisors (2087656208507).

7071946479493 is a wasteful number, since it uses less digits than its factorization.

7071946479493 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4335 (or 4328 counting only the distinct ones).

The product of its (nonzero) digits is 288054144, while the sum is 70.

The spelling of 7071946479493 in words is "seven trillion, seventy-one billion, nine hundred forty-six million, four hundred seventy-nine thousand, four hundred ninety-three".

Divisors: 1 7 19 23 49 79 133 161 437 553 931 1127 1501 1621 1817 2579 3059 3871 10507 11347 12719 18053 21413 30799 34523 37283 49001 59317 73549 79429 89033 126371 128059 203741 215593 241661 260981 343007 415219 708377 896413 1127023 1426187 1509151 1691627 1826867 2401049 2433121 2906533 2945357 3871079 4180559 4686043 4958639 6274891 7889161 9983309 17031847 20617499 27097553 29263913 32802301 34710473 55224127 55961783 79430621 89034817 96152857 119222929 144322493 189682871 204847391 229616107 330264161 391732481 556014347 623243719 673069999 1826904283 2311849127 2742127367 3892100429 4362706033 4711489993 6275019059 7596075703 12788329981 16182943889 43925133413 53172529921 89518309867 144325438357 307475933891 372207709447 1010278068499 7071946479493