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4514196016 = 2411192358693
BaseRepresentation
bin1000011010001000…
…10010101000110000
3102122121020220210001
410031010102220300
533221113233031
62023534515344
7216603014221
oct41504225060
912577226701
104514196016
111a07167310
12a5b965b54
1356c307205
1430b763248
151b6494861
hex10d112a30

4514196016 has 80 divisors (see below), whose sum is σ = 10480400640. Its totient is φ = 1859362560.

The previous prime is 4514196007. The next prime is 4514196017. The reversal of 4514196016 is 6106914154.

It is not an unprimeable number, because it can be changed into a prime (4514196017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47566 + ... + 106258.

It is an arithmetic number, because the mean of its divisors is an integer number (131005008).

Almost surely, 24514196016 is an apocalyptic number.

4514196016 is a gapful number since it is divisible by the number (46) 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 4514196016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5240200320).

4514196016 is an abundant number, since it is smaller than the sum of its proper divisors (5966204624).

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

4514196016 is a wasteful number, since it uses less digits than its factorization.

4514196016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58754 (or 58748 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The square root of 4514196016 is about 67187.7668627258. The cubic root of 4514196016 is about 1652.6978839795.

The spelling of 4514196016 in words is "four billion, five hundred fourteen million, one hundred ninety-six thousand, sixteen".

Divisors: 1 2 4 8 11 16 19 22 23 38 44 46 76 88 92 152 176 184 209 253 304 368 418 437 506 836 874 1012 1672 1748 2024 3344 3496 4048 4807 6992 9614 19228 38456 58693 76912 117386 234772 469544 645623 939088 1115167 1291246 1349939 2230334 2582492 2699878 4460668 5164984 5399756 8921336 10329968 10799512 12266837 14849329 17842672 21599024 24533674 25648841 29698658 49067348 51297682 59397316 98134696 102595364 118794632 196269392 205190728 237589264 282137251 410381456 564274502 1128549004 2257098008 4514196016