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16311146500 = 22531110129363
BaseRepresentation
bin11110011000011100…
…00101100000000100
31120002202022002120001
433030032011200010
5231401123142000
611254312251044
71115130312655
oct171416054004
946082262501
1016311146500
116a10242870
1231b26a0a84
1316cc38769c
14b0a40752c
15656ea746a
hex3cc385804

16311146500 has 96 divisors (see below), whose sum is σ = 39248157312. Its totient is φ = 5872400000.

The previous prime is 16311146497. The next prime is 16311146503. The reversal of 16311146500 is 564111361.

It is an interprime number because it is at equal distance from previous prime (16311146497) and next prime (16311146503).

It is not an unprimeable number, because it can be changed into a prime (16311146503) 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 31 ways as a sum of consecutive naturals, for example, 540819 + ... + 570181.

It is an arithmetic number, because the mean of its divisors is an integer number (408834972).

Almost surely, 216311146500 is an apocalyptic number.

16311146500 is a gapful number since it is divisible by the number (10) 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 16311146500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19624078656).

16311146500 is an abundant number, since it is smaller than the sum of its proper divisors (22937010812).

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

16311146500 is a wasteful number, since it uses less digits than its factorization.

16311146500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29494 (or 29482 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

Adding to 16311146500 its reverse (564111361), we get a palindrome (16875257861).

The spelling of 16311146500 in words is "sixteen billion, three hundred eleven million, one hundred forty-six thousand, five hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 101 110 125 202 220 250 275 404 500 505 550 1010 1100 1111 1375 2020 2222 2525 2750 4444 5050 5500 5555 10100 11110 12625 22220 25250 27775 29363 50500 55550 58726 111100 117452 138875 146815 277750 293630 322993 555500 587260 645986 734075 1291972 1468150 1614965 2936300 2965663 3229930 3670375 5931326 6459860 7340750 8074825 11862652 14681500 14828315 16149650 29656630 32299300 32622293 40374125 59313260 65244586 74141575 80748250 130489172 148283150 161496500 163111465 296566300 326222930 370707875 652445860 741415750 815557325 1482831500 1631114650 3262229300 4077786625 8155573250 16311146500