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216100016060 = 225311374435743
BaseRepresentation
bin1100100101000010010…
…0001000111110111100
3202122210101022020112112
43021100210020332330
512020033101003220
6243135221153152
721420105554225
oct3112044107674
9678711266475
10216100016060
11837139095a5
1235a6b55b7b8
13174bba232b6
14a66044a24c
15594bb245c5
hex3250908fbc

216100016060 has 96 divisors (see below), whose sum is σ = 473015918592. Its totient is φ = 82839144960.

The previous prime is 216100016057. The next prime is 216100016063. The reversal of 216100016060 is 60610001612.

It is an interprime number because it is at equal distance from previous prime (216100016057) and next prime (216100016063).

It is a super-2 number, since 2×2161000160602 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216100016063) 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, 37625549 + ... + 37631291.

It is an arithmetic number, because the mean of its divisors is an integer number (4927249152).

Almost surely, 2216100016060 is an apocalyptic number.

216100016060 is a gapful number since it is divisible by the number (20) 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 216100016060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236507959296).

216100016060 is an abundant number, since it is smaller than the sum of its proper divisors (256915902532).

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

216100016060 is a wasteful number, since it uses less digits than its factorization.

216100016060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6363 (or 6361 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 216100016060 its reverse (60610001612), we get a palindrome (276710017672).

The spelling of 216100016060 in words is "two hundred sixteen billion, one hundred million, sixteen thousand, sixty".

Divisors: 1 2 4 5 10 20 31 62 124 137 155 274 310 443 548 620 685 886 1370 1772 2215 2740 4247 4430 5743 8494 8860 11486 13733 16988 21235 22972 27466 28715 42470 54932 57430 60691 68665 84940 114860 121382 137330 178033 242764 274660 303455 356066 606910 712132 786791 890165 1213820 1573582 1780330 1881421 2544149 3147164 3560660 3762842 3933955 5088298 7525684 7867910 9407105 10176596 12720745 15735820 18814210 24390521 25441490 37628420 48781042 50882980 78868619 97562084 121952605 157737238 243905210 315474476 348548413 394343095 487810420 697096826 788686190 1394193652 1577372380 1742742065 3485484130 6970968260 10805000803 21610001606 43220003212 54025004015 108050008030 216100016060