Search a number
-
+
65714021235280 = 24511129175781143
BaseRepresentation
bin11101111000100001111001…
…11001000111101001010000
322121200012101010102121000201
432330100330321013221100
532103124303414012110
6351432334332024544
716561452464155225
oct1674207471075120
9277605333377021
1065714021235280
1119a3618390a910
127453998902154
132a88a61c14cc2
14123280b62794c
1578e58c2a6b3a
hex3bc43ce47a50

65714021235280 has 80 divisors (see below), whose sum is σ = 166687586204544. Its totient is φ = 23894153623040.

The previous prime is 65714021235263. The next prime is 65714021235281. The reversal of 65714021235280 is 8253212041756.

65714021235280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 65714021235280.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65714021235281) 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 15 ways as a sum of consecutive naturals, for example, 8476389 + ... + 14257531.

Almost surely, 265714021235280 is an apocalyptic number.

It is an amenable number.

65714021235280 is an abundant number, since it is smaller than the sum of its proper divisors (100973564969264).

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

65714021235280 is a wasteful number, since it uses less digits than its factorization.

65714021235280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5794084 (or 5794078 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 46.

The spelling of 65714021235280 in words is "sixty-five trillion, seven hundred fourteen billion, twenty-one million, two hundred thirty-five thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 12917 25834 51668 64585 103336 129170 142087 206672 258340 284174 516680 568348 710435 1033360 1136696 1420870 2273392 2841740 5683480 5781143 11366960 11562286 23124572 28905715 46249144 57811430 63592573 92498288 115622860 127185146 231245720 254370292 317962865 462491440 508740584 635925730 1017481168 1271851460 2543702920 5087405840 74675024131 149350048262 298700096524 373375120655 597400193048 746750241310 821425265441 1194800386096 1493500482620 1642850530882 2987000965240 3285701061764 4107126327205 5974001930480 6571402123528 8214252654410 13142804247056 16428505308820 32857010617640 65714021235280