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5643414480 = 2435114614637
BaseRepresentation
bin1010100000101111…
…11010101111010000
3112120022002011022010
411100113322233100
543024203230410
62331553542520
7256564142304
oct52027725720
915508064263
105643414480
112436618910
121115b74a40
136bc248212
143b7709d04
1523069cc20
hex1505fabd0

5643414480 has 160 divisors (see below), whose sum is σ = 19130525568. Its totient is φ = 1364838400.

The previous prime is 5643414457. The next prime is 5643414493. The reversal of 5643414480 is 844143465.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1214722 + ... + 1219358.

Almost surely, 25643414480 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 5643414480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9565262784).

5643414480 is an abundant number, since it is smaller than the sum of its proper divisors (13487111088).

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

5643414480 is a wasteful number, since it uses less digits than its factorization.

5643414480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5125 (or 5119 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

The square root of 5643414480 is about 75122.6628920993. The cubic root of 5643414480 is about 1780.3852299242.

The spelling of 5643414480 in words is "five billion, six hundred forty-three million, four hundred fourteen thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 461 528 660 880 922 1320 1383 1844 2305 2640 2766 3688 4610 4637 5071 5532 6915 7376 9220 9274 10142 11064 13830 13911 15213 18440 18548 20284 22128 23185 25355 27660 27822 30426 36880 37096 40568 46370 50710 51007 55320 55644 60852 69555 74192 76065 81136 92740 101420 102014 110640 111288 121704 139110 152130 153021 185480 202840 204028 222576 243408 255035 278220 304260 306042 370960 405680 408056 510070 556440 608520 612084 765105 816112 1020140 1112880 1217040 1224168 1530210 2040280 2137657 2448336 3060420 4080560 4275314 6120840 6412971 8550628 10688285 12241680 12825942 17101256 21376570 23514227 25651884 32064855 34202512 42753140 47028454 51303768 64129710 70542681 85506280 94056908 102607536 117571135 128259420 141085362 171012560 188113816 235142270 256518840 282170724 352713405 376227632 470284540 513037680 564341448 705426810 940569080 1128682896 1410853620 1881138160 2821707240 5643414480