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4429513660 = 225111321091093
BaseRepresentation
bin1000010000000010…
…10000001110111100
3102102200220121102111
410020001100032330
533032423414120
62011311503404
7214524146665
oct41001201674
912380817374
104429513660
1119733881a0
12a37527b64
135578c7800
143003dc36c
151add1875a
hex1080503bc

4429513660 has 144 divisors (see below), whose sum is σ = 11099198880. Its totient is φ = 1471841280.

The previous prime is 4429513651. The next prime is 4429513663. The reversal of 4429513660 is 663159244.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4429513663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4052074 + ... + 4053166.

It is an arithmetic number, because the mean of its divisors is an integer number (77077770).

Almost surely, 24429513660 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 4429513660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5549599440).

4429513660 is an abundant number, since it is smaller than the sum of its proper divisors (6669685220).

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

4429513660 is a wasteful number, since it uses less digits than its factorization.

4429513660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248 (or 1233 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 40.

The square root of 4429513660 is about 66554.5915771406. The cubic root of 4429513660 is about 1642.2981932797.

The spelling of 4429513660 in words is "four billion, four hundred twenty-nine million, five hundred thirteen thousand, six hundred sixty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 109 110 130 143 169 218 220 260 286 338 436 545 572 676 715 845 1090 1093 1199 1417 1430 1690 1859 2180 2186 2398 2834 2860 3380 3718 4372 4796 5465 5668 5995 7085 7436 9295 10930 11990 12023 14170 14209 15587 18421 18590 21860 23980 24046 28340 28418 31174 36842 37180 48092 56836 60115 62348 71045 73684 77935 92105 119137 120230 142090 155870 156299 184210 184717 202631 238274 240460 284180 311740 312598 368420 369434 405262 476548 595685 625196 738868 781495 810524 923585 1013155 1191370 1310507 1548781 1562990 1847170 2026310 2031887 2382740 2621014 3097562 3125980 3694340 4052620 4063774 5242028 6195124 6552535 7743905 8127548 10159435 13105070 15487810 17036591 20134153 20318870 26210140 30975620 34073182 40268306 40637740 68146364 80536612 85182955 100670765 170365910 201341530 221475683 340731820 402683060 442951366 885902732 1107378415 2214756830 4429513660