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4065337344 = 2133831993
BaseRepresentation
bin1111001001010000…
…0010000000000000
3101111022122112102210
43302110002000000
531311211243334
61511222142120
7202512540315
oct36224020000
911438575383
104065337344
1117a6860132
12955581940
134ca319b73
142a7cc0d0c
1518bd7e5e9
hexf2502000

4065337344 has 112 divisors (see below), whose sum is σ = 10976347872. Its totient is φ = 1338114048.

The previous prime is 4065337327. The next prime is 4065337351. The reversal of 4065337344 is 4437335604.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2038812 + ... + 2040804.

It is an arithmetic number, because the mean of its divisors is an integer number (98003106).

Almost surely, 24065337344 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 4065337344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5488173936).

4065337344 is an abundant number, since it is smaller than the sum of its proper divisors (6911010528).

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

4065337344 is an equidigital number, since it uses as much as digits as its factorization.

4065337344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2105 (or 2081 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 39.

The square root of 4065337344 is about 63759.9979924717. The cubic root of 4065337344 is about 1595.9974623235.

The spelling of 4065337344 in words is "four billion, sixty-five million, three hundred thirty-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 96 128 166 192 249 256 332 384 498 512 664 768 996 1024 1328 1536 1992 1993 2048 2656 3072 3984 3986 4096 5312 5979 6144 7968 7972 8192 10624 11958 12288 15936 15944 21248 23916 24576 31872 31888 42496 47832 63744 63776 84992 95664 127488 127552 165419 169984 191328 254976 255104 330838 339968 382656 496257 509952 510208 661676 679936 765312 992514 1019904 1020416 1323352 1530624 1985028 2039808 2040832 2646704 3061248 3970056 4081664 5293408 6122496 7940112 8163328 10586816 12244992 15880224 16326656 21173632 24489984 31760448 42347264 48979968 63520896 84694528 127041792 169389056 254083584 338778112 508167168 677556224 1016334336 1355112448 2032668672 4065337344