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5510566720 = 265891811069
BaseRepresentation
bin1010010000111010…
…01001001101000000
3112020001002210102201
411020131021031000
542241201113340
62310450322544
7253362021121
oct51035111500
915201083381
105510566720
11237863137a
121099589454
1369a873489
143a3c08048
15223baa79a
hex148749340

5510566720 has 112 divisors (see below), whose sum is σ = 13355269200. Its totient is φ = 2165391360.

The previous prime is 5510566717. The next prime is 5510566729. The reversal of 5510566720 is 276650155.

It can be written as a sum of positive squares in 8 ways, for example, as 1721918016 + 3788648704 = 41496^2 + 61552^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 5510566720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5510566729) 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, 5154346 + ... + 5155414.

It is an arithmetic number, because the mean of its divisors is an integer number (119243475).

Almost surely, 25510566720 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 5510566720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6677634600).

5510566720 is an abundant number, since it is smaller than the sum of its proper divisors (7844702480).

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

5510566720 is a wasteful number, since it uses less digits than its factorization.

5510566720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1356 (or 1346 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 37.

The square root of 5510566720 is about 74233.1914981432. The cubic root of 5510566720 is about 1766.3038748735.

The spelling of 5510566720 in words is "five billion, five hundred ten million, five hundred sixty-six thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 89 160 178 181 320 356 362 445 712 724 890 905 1069 1424 1448 1780 1810 2138 2848 2896 3560 3620 4276 5345 5696 5792 7120 7240 8552 10690 11584 14240 14480 16109 17104 21380 28480 28960 32218 34208 42760 57920 64436 68416 80545 85520 95141 128872 161090 171040 190282 193489 257744 322180 342080 380564 386978 475705 515488 644360 761128 773956 951410 967445 1030976 1288720 1522256 1547912 1902820 1934890 2577440 3044512 3095824 3805640 3869780 5154880 6089024 6191648 7611280 7739560 12383296 15222560 15479120 17220521 30445120 30958240 34441042 61916480 68882084 86102605 137764168 172205210 275528336 344410420 551056672 688820840 1102113344 1377641680 2755283360 5510566720