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5516023040 = 285113471129
BaseRepresentation
bin1010010001100011…
…11101010100000000
3112020102101000002122
411020301331110000
542244100214130
62311203303412
7253456264553
oct51061752400
915212330078
105516023040
112380718830
12109b37ab68
1369ba33b78
143a482869a
152243d72e5
hex148c7d500

5516023040 has 144 divisors (see below), whose sum is σ = 14468086080. Its totient is φ = 1998274560.

The previous prime is 5516023033. The next prime is 5516023063. The reversal of 5516023040 is 403206155.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4885196 + ... + 4886324.

It is an arithmetic number, because the mean of its divisors is an integer number (100472820).

Almost surely, 25516023040 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 5516023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7234043040).

5516023040 is an abundant number, since it is smaller than the sum of its proper divisors (8952063040).

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

5516023040 is a wasteful number, since it uses less digits than its factorization.

5516023040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1508 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 5516023040 is about 74269.9336205439. The cubic root of 5516023040 is about 1766.8866546198.

Adding to 5516023040 its reverse (403206155), we get a palindrome (5919229195).

The spelling of 5516023040 in words is "five billion, five hundred sixteen million, twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 347 352 440 640 694 704 880 1129 1280 1388 1408 1735 1760 2258 2776 2816 3470 3520 3817 4516 5552 5645 6940 7040 7634 9032 11104 11290 12419 13880 14080 15268 18064 19085 22208 22580 24838 27760 30536 36128 38170 44416 45160 49676 55520 61072 62095 72256 76340 88832 90320 99352 111040 122144 124190 144512 152680 180640 198704 222080 244288 248380 289024 305360 361280 391763 397408 444160 488576 496760 610720 722560 783526 794816 977152 993520 1221440 1445120 1567052 1589632 1958815 1987040 2442880 3134104 3179264 3917630 3974080 4309393 4885760 6268208 7835260 7948160 8618786 12536416 15670520 15896320 17237572 21546965 25072832 31341040 34475144 43093930 50145664 62682080 68950288 86187860 100291328 125364160 137900576 172375720 250728320 275801152 344751440 501456640 551602304 689502880 1103204608 1379005760 2758011520 5516023040