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216000501606 = 2337183678773
BaseRepresentation
bin1100100100101010100…
…0100001011101100110
3202122112110001101101000
43021022220201131212
512014332112022411
6243121304214130
721414456653511
oct3111250413546
9678473041330
10216000501606
118367271994a
1235a4216a346
13174a421c7c6
14a651143d78
155943018956
hex324aa21766

216000501606 has 64 divisors (see below), whose sum is σ = 492627018240. Its totient is φ = 70130723040.

The previous prime is 216000501601. The next prime is 216000501623. The reversal of 216000501606 is 606105000612.

It is a happy number.

216000501606 is a `hidden beast` number, since 2 + 1 + 6 + 0 + 0 + 0 + 50 + 1 + 606 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 216000501606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216000501601) 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 31 ways as a sum of consecutive naturals, for example, 21165 + ... + 657608.

It is an arithmetic number, because the mean of its divisors is an integer number (7697297160).

Almost surely, 2216000501606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216000501606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246313509120).

216000501606 is an abundant number, since it is smaller than the sum of its proper divisors (276626516634).

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

216000501606 is a wasteful number, since it uses less digits than its factorization.

216000501606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678938 (or 678932 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 216000501606 in words is "two hundred sixteen billion, five hundred one thousand, six hundred six".

Divisors: 1 2 3 6 9 18 27 54 71 83 142 166 213 249 426 498 639 747 1278 1494 1917 2241 3834 4482 5893 11786 17679 35358 53037 106074 159111 318222 678773 1357546 2036319 4072638 6108957 12217914 18326871 36653742 48192883 56338159 96385766 112676318 144578649 169014477 289157298 338028954 433735947 507043431 867471894 1014086862 1301207841 1521130293 2602415682 3042260586 4000009289 8000018578 12000027867 24000055734 36000083601 72000167202 108000250803 216000501606