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6449945744 = 2411193317599
BaseRepresentation
bin1100000000111001…
…00101110010010000
3121122111201012012102
412000130211302100
5101202141230434
62544004415532
7315556430354
oct60034456220
917574635172
106449945744
11280a90a780
1213000a75a8
137ba376b58
14452895464
1527b3b507e
hex180725c90

6449945744 has 80 divisors (see below), whose sum is σ = 13769654400. Its totient is φ = 2902548480.

The previous prime is 6449945743. The next prime is 6449945759. The reversal of 6449945744 is 4475499446.

It is a self number, because there is not a number n which added to its sum of digits gives 6449945744.

It is not an unprimeable number, because it can be changed into a prime (6449945743) 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, 10767557 + ... + 10768155.

It is an arithmetic number, because the mean of its divisors is an integer number (172120680).

Almost surely, 26449945744 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 6449945744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6884827200).

6449945744 is an abundant number, since it is smaller than the sum of its proper divisors (7319708656).

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

6449945744 is a wasteful number, since it uses less digits than its factorization.

6449945744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128 (or 1122 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 56.

The square root of 6449945744 is about 80311.5542372329. The cubic root of 6449945744 is about 1861.4527656557.

The spelling of 6449945744 in words is "six billion, four hundred forty-nine million, nine hundred forty-five thousand, seven hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 193 317 386 599 634 772 1198 1268 1544 2123 2396 2536 3088 3487 4246 4792 5072 6589 6974 8492 9584 13178 13948 16984 26356 27896 33968 52712 55792 61181 105424 115607 122362 189883 231214 244724 379766 462428 489448 672991 759532 924856 978896 1271677 1345982 1519064 1849712 2088713 2543354 2691964 3038128 4177426 5086708 5383928 8354852 10173416 10767856 16709704 20346832 33419408 36647419 73294838 146589676 293179352 403121609 586358704 806243218 1612486436 3224972872 6449945744