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1381744656 = 2435467761
BaseRepresentation
bin101001001011011…
…1100000000010000
310120021222220100000
41102112330000100
510312211312111
6345035330000
746145431035
oct12226740020
93507886300
101381744656
11649a60236
123268b0900
131903594b6
14d171d38c
158148ac56
hex525bc010

1381744656 has 120 divisors (see below), whose sum is σ = 4024054944. Its totient is φ = 458991360.

The previous prime is 1381744601. The next prime is 1381744739. The reversal of 1381744656 is 6564471831.

1381744656 is a `hidden beast` number, since 13 + 8 + 174 + 465 + 6 = 666.

It is an unprimeable number.

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, 1815316 + ... + 1816076.

Almost surely, 21381744656 is an apocalyptic number.

1381744656 is a gapful number since it is divisible by the number (16) 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 1381744656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2012027472).

1381744656 is an abundant number, since it is smaller than the sum of its proper divisors (2642310288).

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

1381744656 is an equidigital number, since it uses as much as digits as its factorization.

1381744656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1251 (or 1233 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 1381744656 is about 37171.8261052642. The cubic root of 1381744656 is about 1113.8052599865.

The spelling of 1381744656 in words is "one billion, three hundred eighty-one million, seven hundred forty-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 467 486 648 761 934 972 1296 1401 1522 1868 1944 2283 2802 3044 3736 3888 4203 4566 5604 6088 6849 7472 8406 9132 11208 12176 12609 13698 16812 18264 20547 22416 25218 27396 33624 36528 37827 41094 50436 54792 61641 67248 75654 82188 100872 109584 113481 123282 151308 164376 184923 201744 226962 246564 302616 328752 355387 369846 453924 493128 605232 710774 739692 907848 986256 1066161 1421548 1479384 1815696 2132322 2843096 2958768 3198483 4264644 5686192 6396966 8529288 9595449 12793932 17058576 19190898 25587864 28786347 38381796 51175728 57572694 76763592 86359041 115145388 153527184 172718082 230290776 345436164 460581552 690872328 1381744656