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6441879136 = 257116142859
BaseRepresentation
bin1011111111111011…
…10100011001100000
3121121221112100220011
411333331310121200
5101143110113021
62543115454304
7315431032510
oct57775643140
917557470804
106441879136
112806300160
1212b9457394
137b87b1304
14451795840
1527a81ede1
hex17ff74660

6441879136 has 96 divisors (see below), whose sum is σ = 16071471360. Its totient is φ = 2468620800.

The previous prime is 6441879133. The next prime is 6441879161. The reversal of 6441879136 is 6319781446.

It is a self number, because there is not a number n which added to its sum of digits gives 6441879136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6441879133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128875 + ... + 171733.

It is an arithmetic number, because the mean of its divisors is an integer number (167411160).

Almost surely, 26441879136 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 6441879136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8035735680).

6441879136 is an abundant number, since it is smaller than the sum of its proper divisors (9629592224).

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

6441879136 is a wasteful number, since it uses less digits than its factorization.

6441879136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42948 (or 42940 counting only the distinct ones).

The product of its digits is 870912, while the sum is 49.

The square root of 6441879136 is about 80261.3178062758. The cubic root of 6441879136 is about 1860.6764348944.

The spelling of 6441879136 in words is "six billion, four hundred forty-one million, eight hundred seventy-nine thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 61 77 88 112 122 154 176 224 244 308 352 427 488 616 671 854 976 1232 1342 1708 1952 2464 2684 3416 4697 5368 6832 9394 10736 13664 18788 21472 37576 42859 75152 85718 150304 171436 300013 342872 471449 600026 685744 942898 1200052 1371488 1885796 2400104 2614399 3300143 3771592 4800208 5228798 6600286 7543184 9600416 10457596 13200572 15086368 18300793 20915192 26401144 28758389 36601586 41830384 52802288 57516778 73203172 83660768 105604576 115033556 146406344 201308723 230067112 292812688 402617446 460134224 585625376 805234892 920268448 1610469784 3220939568 6441879136