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4404533664 = 253227359563
BaseRepresentation
bin1000001101000011…
…11101100110100000
3102100221220111022110
410012201331212200
533010030034124
62005020235320
7214101630006
oct40641754640
912327814273
104404533664
111960276373
12a2b09bb40
1355268c74b
142dad78a76
151aba32029
hex10687d9a0

4404533664 has 96 divisors (see below), whose sum is σ = 11665866240. Its totient is φ = 1455049472.

The previous prime is 4404533663. The next prime is 4404533671. The reversal of 4404533664 is 4663354044.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (4404533663) 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, 7823047 + ... + 7823609.

It is an arithmetic number, because the mean of its divisors is an integer number (121519440).

Almost surely, 24404533664 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 4404533664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5832933120).

4404533664 is an abundant number, since it is smaller than the sum of its proper divisors (7261332576).

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

4404533664 is a wasteful number, since it uses less digits than its factorization.

4404533664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1162 (or 1154 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 39.

The square root of 4404533664 is about 66366.6607868740. The cubic root of 4404533664 is about 1639.2051551845.

The spelling of 4404533664 in words is "four billion, four hundred four million, five hundred thirty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 227 359 454 563 681 718 908 1077 1126 1362 1436 1689 1816 2154 2252 2724 2872 3378 3632 4308 4504 5448 5744 6756 7264 8616 9008 10896 11488 13512 17232 18016 21792 27024 34464 54048 81493 127801 162986 202117 244479 255602 325972 383403 404234 488958 511204 606351 651944 766806 808468 977916 1022408 1212702 1303888 1533612 1616936 1955832 2044816 2425404 2607776 3067224 3233872 3911664 4089632 4850808 6134448 6467744 7823328 9701616 12268896 19403232 45880559 91761118 137641677 183522236 275283354 367044472 550566708 734088944 1101133416 1468177888 2202266832 4404533664