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4464554064 = 2434783113211
BaseRepresentation
bin1000010100001101…
…11011000001010000
3102112010211211211020
410022012323001100
533120411212224
62015002515440
7215431040415
oct41206730120
912463754736
104464554064
111991140603
12a47205b80
13561c45a89
14304d2010c
151b1e3ac79
hex10a1bb050

4464554064 has 160 divisors (see below), whose sum is σ = 12083226624. Its totient is φ = 1419479040.

The previous prime is 4464554023. The next prime is 4464554113. The reversal of 4464554064 is 4604554644.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21158919 + ... + 21159129.

Almost surely, 24464554064 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 4464554064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6041613312).

4464554064 is an abundant number, since it is smaller than the sum of its proper divisors (7618672560).

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

4464554064 is a wasteful number, since it uses less digits than its factorization.

4464554064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 42.

The square root of 4464554064 is about 66817.3185933108. The cubic root of 4464554064 is about 1646.6173816068.

The spelling of 4464554064 in words is "four billion, four hundred sixty-four million, five hundred fifty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 83 94 113 141 166 188 211 226 249 282 332 339 376 422 452 498 564 633 664 678 752 844 904 996 1128 1266 1328 1356 1688 1808 1992 2256 2532 2712 3376 3901 3984 5064 5311 5424 7802 9379 9917 10128 10622 11703 15604 15933 17513 18758 19834 21244 23406 23843 28137 29751 31208 31866 35026 37516 39668 42488 46812 47686 52539 56274 59502 62416 63732 70052 71529 75032 79336 84976 93624 95372 105078 112548 119004 127464 140104 143058 150064 158672 187248 190744 210156 225096 238008 254928 280208 286116 381488 420312 440813 450192 476016 572232 823111 840624 881626 1120621 1144464 1322439 1646222 1763252 1978969 2241242 2469333 2644878 3292444 3361863 3526504 3957938 4482484 4938666 5289756 5936907 6584888 6723726 7053008 7915876 8964968 9877332 10579512 11873814 13169776 13447452 15831752 17929936 19754664 21159024 23747628 26894904 31663504 39509328 47495256 53789808 93011543 94990512 186023086 279034629 372046172 558069258 744092344 1116138516 1488184688 2232277032 4464554064