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5710944080 = 2453715712289
BaseRepresentation
bin1010101000110011…
…00001011101010000
3112202000011000111102
411110121201131100
543144000202310
62342405203532
7261344136512
oct52431413520
915660130442
105710944080
1124707518a6
1211347005a8
1370023046a
143c2687bb2
1523658b8a5
hex154661750

5710944080 has 80 divisors (see below), whose sum is σ = 13724783760. Its totient is φ = 2208301056.

The previous prime is 5710944061. The next prime is 5710944119. The reversal of 5710944080 is 804490175.

It can be written as a sum of positive squares in 8 ways, for example, as 260370496 + 5450573584 = 16136^2 + 73828^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×57109440802 = 65229764569774092800, which contains 22 as substring.

It is a congruent number.

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, 458576 + ... + 470864.

It is an arithmetic number, because the mean of its divisors is an integer number (171559797).

Almost surely, 25710944080 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 5710944080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6862391880).

5710944080 is an abundant number, since it is smaller than the sum of its proper divisors (8013839680).

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

5710944080 is a wasteful number, since it uses less digits than its factorization.

5710944080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12496 (or 12490 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 38.

The square root of 5710944080 is about 75570.7885363121. The cubic root of 5710944080 is about 1787.4585073910.

The spelling of 5710944080 in words is "five billion, seven hundred ten million, nine hundred forty-four thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 157 185 296 314 370 592 628 740 785 1256 1480 1570 2512 2960 3140 5809 6280 11618 12289 12560 23236 24578 29045 46472 49156 58090 61445 92944 98312 116180 122890 196624 232360 245780 454693 464720 491560 909386 983120 1818772 1929373 2273465 3637544 3858746 4546930 7275088 7717492 9093860 9646865 15434984 18187720 19293730 30869968 36375440 38587460 71386801 77174920 142773602 154349840 285547204 356934005 571094408 713868010 1142188816 1427736020 2855472040 5710944080