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5681981440 = 2115733757
BaseRepresentation
bin1010100101010110…
…00010100000000000
3112122222122120020001
411102223002200000
543114041401230
62335452325344
7260543021362
oct52253024000
915588576201
105681981440
11245636a833
121126a73854
136c722c6c5
143bc8a8d32
15233c6a0ca
hex152ac2800

5681981440 has 96 divisors (see below), whose sum is σ = 13670060040. Its totient is φ = 2266693632.

The previous prime is 5681981419. The next prime is 5681981443. The reversal of 5681981440 is 441891865.

It can be written as a sum of positive squares in 4 ways, for example, as 5640610816 + 41370624 = 75104^2 + 6432^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5681981443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7505542 + ... + 7506298.

Almost surely, 25681981440 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 5681981440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6835030020).

5681981440 is an abundant number, since it is smaller than the sum of its proper divisors (7988078600).

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

5681981440 is an equidigital number, since it uses as much as digits as its factorization.

5681981440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1517 (or 1497 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 46.

The square root of 5681981440 is about 75378.9190689280. The cubic root of 5681981440 is about 1784.4317293856.

The spelling of 5681981440 in words is "five billion, six hundred eighty-one million, nine hundred eighty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 733 757 1024 1280 1466 1514 2048 2560 2932 3028 3665 3785 5120 5864 6056 7330 7570 10240 11728 12112 14660 15140 23456 24224 29320 30280 46912 48448 58640 60560 93824 96896 117280 121120 187648 193792 234560 242240 375296 387584 469120 484480 554881 750592 775168 938240 968960 1109762 1501184 1550336 1876480 1937920 2219524 2774405 3752960 3875840 4439048 5548810 7505920 7751680 8878096 11097620 17756192 22195240 35512384 44390480 71024768 88780960 142049536 177561920 284099072 355123840 568198144 710247680 1136396288 1420495360 2840990720 5681981440