Search a number
-
+
5553610656 = 2531149110711
BaseRepresentation
bin1010010110000010…
…10101111110100000
3112100001002122121120
411023001111332200
542333211020111
62315025052240
7254423624466
oct51301257640
915301078546
105553610656
11239a960980
1210aba87080
136a6764669
143a9810836
1522785e406
hex14b055fa0

5553610656 has 96 divisors (see below), whose sum is σ = 15937399296. Its totient is φ = 1679328000.

The previous prime is 5553610639. The next prime is 5553610703. The reversal of 5553610656 is 6560163555.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-4 number, since 4×55536106564 (a number of 40 digits) contains 4444 as substring.

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, 513141 + ... + 523851.

It is an arithmetic number, because the mean of its divisors is an integer number (166014576).

Almost surely, 25553610656 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 5553610656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7968699648).

5553610656 is an abundant number, since it is smaller than the sum of its proper divisors (10383788640).

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

5553610656 is a wasteful number, since it uses less digits than its factorization.

5553610656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11226 (or 11218 counting only the distinct ones).

The product of its (nonzero) digits is 405000, while the sum is 42.

The square root of 5553610656 is about 74522.5513250855. The cubic root of 5553610656 is about 1770.8909147639.

The spelling of 5553610656 in words is "five billion, five hundred fifty-three million, six hundred ten thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 491 528 982 1056 1473 1964 2946 3928 5401 5892 7856 10711 10802 11784 15712 16203 21422 21604 23568 32133 32406 42844 43208 47136 64266 64812 85688 86416 117821 128532 129624 171376 172832 235642 257064 259248 342752 353463 471284 514128 518496 706926 942568 1028256 1413852 1885136 2827704 3770272 5259101 5655408 10518202 11310816 15777303 21036404 31554606 42072808 57850111 63109212 84145616 115700222 126218424 168291232 173550333 231400444 252436848 347100666 462800888 504873696 694201332 925601776 1388402664 1851203552 2776805328 5553610656