Search a number
-
+
71741426355 = 33519193313463
BaseRepresentation
bin100001011010000011…
…1110100101010110011
320212011210011001202000
41002310013310222303
52133411301120410
652542455425043
75116551030264
oct1026407645263
9225153131660
1071741426355
112847518a505
1211aa2085183
1369c4169a51
14368800296b
151ced448dc0
hex10b41f4ab3

71741426355 has 128 divisors (see below), whose sum is σ = 135672115200. Its totient is φ = 35867639808.

The previous prime is 71741426321. The next prime is 71741426357. The reversal of 71741426355 is 55362414717.

71741426355 is a `hidden beast` number, since 7 + 1 + 7 + 4 + 1 + 4 + 2 + 635 + 5 = 666.

It is not a de Polignac number, because 71741426355 - 27 = 71741426227 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 71741426355.

It is not an unprimeable number, because it can be changed into a prime (71741426357) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 154948854 + ... + 154949316.

It is an arithmetic number, because the mean of its divisors is an integer number (1059938400).

Almost surely, 271741426355 is an apocalyptic number.

71741426355 is a deficient number, since it is larger than the sum of its proper divisors (63930688845).

71741426355 is a wasteful number, since it uses less digits than its factorization.

71741426355 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002 (or 996 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The spelling of 71741426355 in words is "seventy-one billion, seven hundred forty-one million, four hundred twenty-six thousand, three hundred fifty-five".

Divisors: 1 3 5 9 15 19 27 45 57 95 135 171 193 285 313 463 513 579 855 939 965 1389 1565 1737 2315 2565 2817 2895 3667 4167 4695 5211 5947 6945 8451 8685 8797 11001 12501 14085 17841 18335 20835 26055 26391 29735 33003 42255 43985 53523 55005 60409 62505 79173 89205 89359 99009 131955 144919 160569 165015 181227 237519 267615 268077 302045 395865 434757 446795 495045 543681 724595 802845 804231 906135 1147771 1187595 1304271 1340385 1631043 1697821 2173785 2412693 2718405 2753461 3443313 3912813 4021155 5093463 5738855 6521355 8155215 8260383 8489105 10329939 12063465 13767305 15280389 17216565 19564065 24781149 25467315 27969367 30989817 41301915 45841167 51649695 74343447 76401945 83908101 123905745 139846835 154949085 229205835 251724303 371717235 419540505 531417973 755172909 1258621515 1594253919 2657089865 3775864545 4782761757 7971269595 14348285271 23913808785 71741426355