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4413535020 = 223358239931
BaseRepresentation
bin1000001110001000…
…10011001100101100
3102101120211210212000
410013010103030230
533014331110040
62005541212300
7214241300016
oct40704231454
912346753760
104413535020
111965364204
12a32101090
135544c18ab
142dc23d1b6
151ac70e130
hex10711332c

4413535020 has 96 divisors (see below), whose sum is σ = 13749066240. Its totient is φ = 1175394240.

The previous prime is 4413535003. The next prime is 4413535031. The reversal of 4413535020 is 205353144.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 439455 + ... + 449385.

It is an arithmetic number, because the mean of its divisors is an integer number (143219440).

Almost surely, 24413535020 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 4413535020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6874533120).

4413535020 is an abundant number, since it is smaller than the sum of its proper divisors (9335531220).

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

4413535020 is a wasteful number, since it uses less digits than its factorization.

4413535020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10772 (or 10764 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 4413535020 is about 66434.4415194408. The cubic root of 4413535020 is about 1640.3210530485.

Adding to 4413535020 its reverse (205353144), we get a palindrome (4618888164).

The spelling of 4413535020 in words is "four billion, four hundred thirteen million, five hundred thirty-five thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 823 1646 2469 3292 4115 4938 7407 8230 9876 9931 12345 14814 16460 19862 22221 24690 29628 29793 37035 39724 44442 49380 49655 59586 74070 88884 89379 99310 111105 119172 148140 148965 178758 198620 222210 268137 297930 357516 444420 446895 536274 595860 893790 1072548 1340685 1787580 2681370 5362740 8173213 16346426 24519639 32692852 40866065 49039278 73558917 81732130 98078556 122598195 147117834 163464260 220676751 245196390 294235668 367794585 441353502 490392780 735589170 882707004 1103383755 1471178340 2206767510 4413535020