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5517061120 = 21053729123
BaseRepresentation
bin1010010001101011…
…11010110000000000
3112020111022202002001
411020311322300000
542244331423440
62311241433344
7253501150204
oct51065726000
915214282061
105517061120
11238126774a
12109b79b854
1369c00850c
143a4a18b04
1522453eb9a
hex148d7ac00

5517061120 has 88 divisors (see below), whose sum is σ = 13592636784. Its totient is φ = 2147106816.

The previous prime is 5517061117. The next prime is 5517061127. The reversal of 5517061120 is 211607155.

It is not an unprimeable number, because it can be changed into a prime (5517061127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 174879 + ... + 204001.

Almost surely, 25517061120 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 5517061120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6796318392).

5517061120 is an abundant number, since it is smaller than the sum of its proper divisors (8075575664).

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

5517061120 is a wasteful number, since it uses less digits than its factorization.

5517061120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29185 (or 29167 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 28.

The square root of 5517061120 is about 74276.9218532917. The cubic root of 5517061120 is about 1766.9974865626.

Adding to 5517061120 its reverse (211607155), we get a palindrome (5728668275).

It can be divided in two parts, 551706 and 1120, that added together give a triangular number (552826 = T1051).

The spelling of 5517061120 in words is "five billion, five hundred seventeen million, sixty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 128 148 160 185 256 296 320 370 512 592 640 740 1024 1184 1280 1480 2368 2560 2960 4736 5120 5920 9472 11840 18944 23680 29123 37888 47360 58246 94720 116492 145615 189440 232984 291230 465968 582460 931936 1077551 1164920 1863872 2155102 2329840 3727744 4310204 4659680 5387755 7455488 8620408 9319360 10775510 14910976 17240816 18638720 21551020 29821952 34481632 37277440 43102040 68963264 74554880 86204080 137926528 149109760 172408160 275853056 344816320 551706112 689632640 1103412224 1379265280 2758530560 5517061120