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216005650740 = 22325111921612657
BaseRepresentation
bin1100100100101011110…
…0001010100100110100
3202122112210201222122200
43021022330022210310
512014334421310430
6243122010424500
721414551510535
oct3111274124464
9678483658580
10216005650740
1183675616530
1235a43a32130
13174a5303429
14a651ac468c
1559436d4460
hex324af0a934

216005650740 has 288 divisors, whose sum is σ = 753033939840. Its totient is φ = 49567334400.

The previous prime is 216005650717. The next prime is 216005650747. The reversal of 216005650740 is 47056500612.

It is a happy number.

216005650740 is a `hidden beast` number, since 2 + 1 + 60 + 0 + 56 + 507 + 40 = 666.

It is a super-2 number, since 2×2160056507402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 216005650695 and 216005650704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216005650747) 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 95 ways as a sum of consecutive naturals, for example, 81295492 + ... + 81298148.

It is an arithmetic number, because the mean of its divisors is an integer number (2614701180).

Almost surely, 2216005650740 is an apocalyptic number.

216005650740 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 216005650740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376516969920).

216005650740 is an abundant number, since it is smaller than the sum of its proper divisors (537028289100).

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

216005650740 is a wasteful number, since it uses less digits than its factorization.

216005650740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4863 (or 4858 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 216005650740 in words is "two hundred sixteen billion, five million, six hundred fifty thousand, seven hundred forty".