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216008751852 = 223265968313331
BaseRepresentation
bin1100100100101100011…
…1111111101011101100
3202122120000120112120200
43021023013333223230
512014341220024402
6243122201113500
721414620044635
oct3111307775354
9678500515520
10216008751852
1183677344433
1235a44a88890
13174a5b4aaca
14a65229088c
155943ae821c
hex324b1ffaec

216008751852 has 72 divisors (see below), whose sum is σ = 547692425280. Its totient is φ = 71783009760.

The previous prime is 216008751811. The next prime is 216008751859. The reversal of 216008751852 is 258157800612.

216008751852 is a `hidden beast` number, since 2 + 1 + 6 + 0 + 0 + 87 + 518 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 216008751798 and 216008751807.

It is not an unprimeable number, because it can be changed into a prime (216008751859) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16196827 + ... + 16210157.

It is an arithmetic number, because the mean of its divisors is an integer number (7606839240).

Almost surely, 2216008751852 is an apocalyptic number.

It is an amenable number.

216008751852 is an abundant number, since it is smaller than the sum of its proper divisors (331683673428).

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

216008751852 is a wasteful number, since it uses less digits than its factorization.

216008751852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14683 (or 14678 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 216008751852 in words is "two hundred sixteen billion, eight million, seven hundred fifty-one thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 659 683 1318 1366 1977 2049 2636 2732 3954 4098 5931 6147 7908 8196 11862 12294 13331 23724 24588 26662 39993 53324 79986 119979 159972 239958 450097 479916 900194 1350291 1800388 2700582 4050873 5401164 8101746 8785129 9105073 16203492 17570258 18210146 26355387 27315219 35140516 36420292 52710774 54630438 79066161 81945657 105421548 109260876 158132322 163891314 316264644 327782628 6000243107 12000486214 18000729321 24000972428 36001458642 54002187963 72002917284 108004375926 216008751852