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4691702016 = 283214272
BaseRepresentation
bin1000101111010010…
…11011000100000000
3110002222021011020100
410113221123010000
534102033431031
62053315242400
7224156544351
oct42751330400
913088234210
104691702016
111a98386191
12aab2a9400
1359a016b51
1432716bd28
151c6d58de6
hex117a5b100

4691702016 has 81 divisors (see below), whose sum is σ = 13536819751. Its totient is φ = 1562804736.

The previous prime is 4691701997. The next prime is 4691702021. The reversal of 4691702016 is 6102071964.

The square root of 4691702016 is 68496.

It is a perfect power (a square), and thus also a powerful number.

4691702016 is a `hidden beast` number, since 469 + 170 + 20 + 1 + 6 = 666.

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3287095 + ... + 3288521.

Almost surely, 24691702016 is an apocalyptic number.

4691702016 is the 68496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4691702016

4691702016 is an abundant number, since it is smaller than the sum of its proper divisors (8845117735).

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

4691702016 is an frugal number, since it uses more digits than its factorization.

4691702016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2876 (or 1432 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The cubic root of 4691702016 is about 1674.0823090441.

Multiplying 4691702016 by its sum of digits (36), we get a square (168901272576 = 4109762).

4691702016 divided by its sum of digits (36) gives a square (130325056 = 114162).

The spelling of 4691702016 in words is "four billion, six hundred ninety-one million, seven hundred two thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 1427 2304 2854 4281 5708 8562 11416 12843 17124 22832 25686 34248 45664 51372 68496 91328 102744 136992 182656 205488 273984 365312 410976 547968 821952 1095936 1643904 2036329 3287808 4072658 6108987 8145316 12217974 16290632 18326961 24435948 32581264 36653922 48871896 65162528 73307844 97743792 130325056 146615688 195487584 260650112 293231376 390975168 521300224 586462752 781950336 1172925504 1563900672 2345851008 4691702016