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6439066442016 = 253132757524287
BaseRepresentation
bin101110110110011011001…
…0001001001100100100000
3211210120100121111210120220
41131230312101021210200
51320444202002121031
621410022152403040
71233131032456455
oct135546621114440
924716317453526
106439066442016
11206287a15a96a
1287bb263a6480
13379280507700
1418391c58982c
15b276540d596
hex5db36449920

6439066442016 has 144 divisors (see below), whose sum is σ = 18326973579264. Its totient is φ = 1978630198272.

The previous prime is 6439066441967. The next prime is 6439066442021. The reversal of 6439066442016 is 6102446609346.

It is a self number, because there is not a number n which added to its sum of digits gives 6439066442016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12019425 + ... + 12543711.

It is an arithmetic number, because the mean of its divisors is an integer number (127270649856).

Almost surely, 26439066442016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6439066442016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9163486789632).

6439066442016 is an abundant number, since it is smaller than the sum of its proper divisors (11887907137248).

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

6439066442016 is a wasteful number, since it uses less digits than its factorization.

6439066442016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525083 (or 525062 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 51.

The spelling of 6439066442016 in words is "six trillion, four hundred thirty-nine billion, sixty-six million, four hundred forty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 169 208 312 338 416 507 624 676 757 1014 1248 1352 1514 2028 2271 2704 3028 4056 4542 5408 6056 8112 9084 9841 12112 16224 18168 19682 24224 29523 36336 39364 59046 72672 78728 118092 127933 157456 236184 255866 314912 383799 472368 511732 524287 767598 944736 1023464 1048574 1535196 1572861 2046928 2097148 3070392 3145722 4093856 4194296 6140784 6291444 6815731 8388592 12281568 12582888 13631462 16777184 20447193 25165776 27262924 40894386 50331552 54525848 81788772 88604503 109051696 163577544 177209006 218103392 265813509 327155088 354418012 396885259 531627018 654310176 708836024 793770518 1063254036 1190655777 1417672048 1587541036 2126508072 2381311554 2835344096 3175082072 4253016144 4762623108 5159508367 6350164144 8506032288 9525246216 10319016734 12700328288 15478525101 19050492432 20638033468 30957050202 38100984864 41276066936 61914100404 67073608771 82552133872 123828200808 134147217542 165104267744 201220826313 247656401616 268294435084 402441652626 495312803232 536588870168 804883305252 1073177740336 1609766610504 2146355480672 3219533221008 6439066442016