Search a number
-
+
5500511064 = 233516716943
BaseRepresentation
bin1010001111101101…
…10010001101011000
3112012100011220200000
411013312302031120
542231112323224
62305451013000
7253210400256
oct50766621530
915170156600
105500511064
112372993414
12109613a160
13698762499
143a274b5d6
15222d710c9
hex147db2358

5500511064 has 96 divisors (see below), whose sum is σ = 15542392320. Its totient is φ = 1822417056.

The previous prime is 5500511063. The next prime is 5500511069. The reversal of 5500511064 is 4601150055.

It is a happy number.

5500511064 is a `hidden beast` number, since 5 + 500 + 51 + 106 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5500511063) by changing a digit.

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, 316177 + ... + 333119.

It is an arithmetic number, because the mean of its divisors is an integer number (161899920).

Almost surely, 25500511064 is an apocalyptic number.

5500511064 is a gapful number since it is divisible by the number (54) 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 5500511064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7771196160).

5500511064 is an abundant number, since it is smaller than the sum of its proper divisors (10041881256).

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

5500511064 is a wasteful number, since it uses less digits than its factorization.

5500511064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17131 (or 17115 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 5500511064 is about 74165.4303837037. The cubic root of 5500511064 is about 1765.2288397255.

The spelling of 5500511064 in words is "five billion, five hundred million, five hundred eleven thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 167 216 243 324 334 486 501 648 668 972 1002 1336 1503 1944 2004 3006 4008 4509 6012 9018 12024 13527 16943 18036 27054 33886 36072 40581 50829 54108 67772 81162 101658 108216 135544 152487 162324 203316 304974 324648 406632 457461 609948 914922 1219896 1372383 1829844 2744766 2829481 3659688 4117149 5489532 5658962 8234298 8488443 10979064 11317924 16468596 16976886 22635848 25465329 32937192 33953772 50930658 67907544 76395987 101861316 152791974 203722632 229187961 305583948 458375922 611167896 687563883 916751844 1375127766 1833503688 2750255532 5500511064