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6044442664 = 2313536117977
BaseRepresentation
bin1011010000100011…
…01110000000101000
3120121020200111112211
411220101232000220
544334334131124
62435441214504
7302533625551
oct55021560050
916536614484
106044442664
112621a26267
121208331434
137543597c0
14414a9b328
152559b5e94
hex16846e028

6044442664 has 64 divisors (see below), whose sum is σ = 12639972240. Its totient is φ = 2692085760.

The previous prime is 6044442647. The next prime is 6044442673. The reversal of 6044442664 is 4662444406.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 938196900 + 5106245764 = 30630^2 + 71458^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 327244 + ... + 345220.

Almost surely, 26044442664 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 6044442664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6319986120).

6044442664 is an abundant number, since it is smaller than the sum of its proper divisors (6595529576).

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

6044442664 is a wasteful number, since it uses less digits than its factorization.

6044442664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18110 (or 18106 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 40.

The square root of 6044442664 is about 77746.0138142143. The cubic root of 6044442664 is about 1821.5960985405.

The spelling of 6044442664 in words is "six billion, forty-four million, four hundred forty-two thousand, six hundred sixty-four".

Divisors: 1 2 4 8 13 26 52 53 61 104 106 122 212 244 424 488 689 793 1378 1586 2756 3172 3233 5512 6344 6466 12932 17977 25864 35954 42029 71908 84058 143816 168116 233701 336232 467402 934804 952781 1096597 1869608 1905562 2193194 3811124 4386388 7622248 8772776 12386153 14255761 24772306 28511522 49544612 57023044 58119641 99089224 114046088 116239282 232478564 464957128 755555333 1511110666 3022221332 6044442664