Search a number
-
+
42818964329856 = 2731113779774263
BaseRepresentation
bin10011011110001100100010…
…01010001001010110000000
312121121110020020122101011110
421233012101022021112000
521103021214332023411
6231022432145043320
712006365565354201
oct1157062112112600
9177543206571143
1042818964329856
111270946a092330
124976728626540
131ab7a70a37150
14a8063dc215a8
154e3c45d7c2a6
hex26f191289580

42818964329856 has 128 divisors (see below), whose sum is σ = 133622117879040. Its totient is φ = 11977332664320.

The previous prime is 42818964329839. The next prime is 42818964329861. The reversal of 42818964329856 is 65892346981824.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (75) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 389832220 + ... + 389942043.

It is an arithmetic number, because the mean of its divisors is an integer number (1043922795930).

Almost surely, 242818964329856 is an apocalyptic number.

It is an amenable number.

42818964329856 is an abundant number, since it is smaller than the sum of its proper divisors (90803153549184).

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

42818964329856 is a wasteful number, since it uses less digits than its factorization.

42818964329856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779774304 (or 779774292 counting only the distinct ones).

The product of its digits is 1433272320, while the sum is 75.

The spelling of 42818964329856 in words is "forty-two trillion, eight hundred eighteen billion, nine hundred sixty-four million, three hundred twenty-nine thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 78 88 96 104 128 132 143 156 176 192 208 264 286 312 352 384 416 429 528 572 624 704 832 858 1056 1144 1248 1408 1664 1716 2112 2288 2496 3432 4224 4576 4992 6864 9152 13728 18304 27456 54912 779774263 1559548526 2339322789 3119097052 4678645578 6238194104 8577516893 9357291156 10137065419 12476388208 17155033786 18714582312 20274130838 24952776416 25732550679 30411196257 34310067572 37429164624 40548261676 49905552832 51465101358 60822392514 68620135144 74858329248 81096523352 99811105664 102930202716 111507719609 121644785028 137240270288 149716658496 162193046704 205860405432 223015439218 243289570056 274480540576 299433316992 324386093408 334523158827 411720810864 446030878436 486579140112 548961081152 648772186816 669046317654 823441621728 892061756872 973158280224 1097922162304 1297544373632 1338092635308 1646883243456 1784123513744 1946316560448 2676185270616 3293766486912 3568247027488 3892633120896 5352370541232 7136494054976 10704741082464 14272988109952 21409482164928 42818964329856