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4684616136 = 2332192180233
BaseRepresentation
bin1000101110011100…
…11001000111001000
3110002110221011020100
410113032121013020
534043230204021
62052503325400
7224042402664
oct42716310710
913073834210
104684616136
111a94386492
12aa8a50860
13598705815
143262458a4
151c6409626
hex1173991c8

4684616136 has 72 divisors (see below), whose sum is σ = 13390485030. Its totient is φ = 1479344256.

The previous prime is 4684616129. The next prime is 4684616137. The reversal of 4684616136 is 6316164864.

4684616136 is a `hidden beast` number, since 468 + 46 + 16 + 136 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4003092900 + 681523236 = 63270^2 + 26106^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4684616091 and 4684616100.

It is not an unprimeable number, because it can be changed into a prime (4684616137) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 64125 + ... + 116108.

Almost surely, 24684616136 is an apocalyptic number.

It is an amenable number.

4684616136 is an abundant number, since it is smaller than the sum of its proper divisors (8705868894).

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

4684616136 is a wasteful number, since it uses less digits than its factorization.

4684616136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180283 (or 180257 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 4684616136 is about 68444.2556830009. The cubic root of 4684616136 is about 1673.2390952715.

The spelling of 4684616136 in words is "four billion, six hundred eighty-four million, six hundred sixteen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 361 456 684 722 1083 1368 1444 2166 2888 3249 4332 6498 8664 12996 25992 180233 360466 540699 720932 1081398 1441864 1622097 2162796 3244194 3424427 4325592 6488388 6848854 10273281 12976776 13697708 20546562 27395416 30819843 41093124 61639686 65064113 82186248 123279372 130128226 195192339 246558744 260256452 390384678 520512904 585577017 780769356 1171154034 1561538712 2342308068 4684616136