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4431069648 = 2432194493607
BaseRepresentation
bin1000010000001110…
…01100000111010000
3102102210211122211200
410020013030013100
533033323212043
62011405111200
7214543320255
oct41007140720
912383748750
104431069648
111974250235
12a37b58500
13558020b05
143006c542c
151ae0247d3
hex1081cc1d0

4431069648 has 120 divisors (see below), whose sum is σ = 13086216000. Its totient is φ = 1395781632.

The previous prime is 4431069647. The next prime is 4431069653. The reversal of 4431069648 is 8469601344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4431069647) 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 23 ways as a sum of consecutive naturals, for example, 1226661 + ... + 1230267.

It is an arithmetic number, because the mean of its divisors is an integer number (109051800).

Almost surely, 24431069648 is an apocalyptic number.

4431069648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4431069648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6543108000).

4431069648 is an abundant number, since it is smaller than the sum of its proper divisors (8655146352).

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

4431069648 is a wasteful number, since it uses less digits than its factorization.

4431069648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4089 (or 4080 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 4431069648 is about 66566.2801123812. The cubic root of 4431069648 is about 1642.4904715084.

The spelling of 4431069648 in words is "four billion, four hundred thirty-one million, sixty-nine thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 449 456 684 898 912 1347 1368 1796 2694 2736 3592 3607 4041 5388 7184 7214 8082 8531 10776 10821 14428 16164 17062 21552 21642 25593 28856 32328 32463 34124 43284 51186 57712 64656 64926 68248 68533 76779 86568 102372 129852 136496 137066 153558 173136 204744 205599 259704 274132 307116 409488 411198 519408 548264 614232 616797 822396 1096528 1228464 1233594 1619543 1644792 2467188 3239086 3289584 4858629 4934376 6478172 9717258 9868752 12956344 14575887 19434516 25912688 29151774 30771317 38869032 58303548 61542634 77738064 92313951 116607096 123085268 184627902 233214192 246170536 276941853 369255804 492341072 553883706 738511608 1107767412 1477023216 2215534824 4431069648