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5504982768 = 2432292774759
BaseRepresentation
bin1010010000001111…
…10101111011110000
3112012122121002200200
411020013311323300
542233233422033
62310130515200
7253263403305
oct51007657360
915178532620
105504982768
11237546803a
121097735b00
1369966996c
143a31930ac
15223456013
hex1481f5ef0

5504982768 has 120 divisors (see below), whose sum is σ = 15998455200. Its totient is φ = 1764951552.

The previous prime is 5504982731. The next prime is 5504982781. The reversal of 5504982768 is 8672894055.

5504982768 is a `hidden beast` number, since 550 + 4 + 9 + 8 + 27 + 68 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1154373 + ... + 1159131.

It is an arithmetic number, because the mean of its divisors is an integer number (133320460).

Almost surely, 25504982768 is an apocalyptic number.

5504982768 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5504982768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7999227600).

5504982768 is an abundant number, since it is smaller than the sum of its proper divisors (10493472432).

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

5504982768 is a wasteful number, since it uses less digits than its factorization.

5504982768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5079 (or 5070 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The square root of 5504982768 is about 74195.5710807593. The cubic root of 5504982768 is about 1765.7070645473.

The spelling of 5504982768 in words is "five billion, five hundred four million, nine hundred eighty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 277 348 464 522 554 696 831 1044 1108 1392 1662 2088 2216 2493 3324 4176 4432 4759 4986 6648 8033 9518 9972 13296 14277 16066 19036 19944 24099 28554 32132 38072 39888 42831 48198 57108 64264 72297 76144 85662 96396 114216 128528 138011 144594 171324 192792 228432 276022 289188 342648 385584 414033 552044 578376 685296 828066 1104088 1156752 1242099 1318243 1656132 2208176 2484198 2636486 3312264 3954729 4968396 5272972 6624528 7909458 9936792 10545944 11864187 15818916 19873584 21091888 23728374 31637832 38229047 47456748 63275664 76458094 94913496 114687141 152916188 189826992 229374282 305832376 344061423 458748564 611664752 688122846 917497128 1376245692 1834994256 2752491384 5504982768