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4664692116 = 2232743735897
BaseRepresentation
bin1000101100000100…
…11000110110010100
3110001002102220121200
410112002120312110
534023130121431
62050512312500
7223411141320
oct42602306624
913032386550
104664692116
111a84108257
12aa2242730
1359454ab66
1432373a980
151c47c0ee6
hex116098d94

4664692116 has 144 divisors (see below), whose sum is σ = 13980430464. Its totient is φ = 1283724288.

The previous prime is 4664692111. The next prime is 4664692133. The reversal of 4664692116 is 6112964664.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4664692111) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 788080 + ... + 793976.

Almost surely, 24664692116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4664692116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6990215232).

4664692116 is an abundant number, since it is smaller than the sum of its proper divisors (9315738348).

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

4664692116 is a wasteful number, since it uses less digits than its factorization.

4664692116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6030 (or 6025 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 4664692116 is about 68298.5513462767. The cubic root of 4664692116 is about 1670.8635876725.

The spelling of 4664692116 in words is "four billion, six hundred sixty-four million, six hundred ninety-two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 43 63 73 84 86 126 129 146 172 219 252 258 292 301 387 438 511 516 602 657 774 876 903 1022 1204 1314 1533 1548 1806 2044 2628 2709 3066 3139 3612 4599 5418 5897 6132 6278 9198 9417 10836 11794 12556 17691 18396 18834 21973 23588 28251 35382 37668 41279 43946 53073 56502 65919 70764 82558 87892 106146 113004 123837 131838 165116 197757 212292 247674 253571 263676 371511 395514 430481 495348 507142 743022 760713 791028 860962 1014284 1291443 1486044 1521426 1721924 1774997 2282139 2582886 3013367 3042852 3549994 3874329 4564278 5165772 5324991 6026734 7099988 7748658 9040101 9128556 10649982 12053468 15497316 15974973 18080202 18510683 21299964 27120303 31949946 36160404 37021366 54240606 55532049 63899892 74042732 108481212 111064098 129574781 166596147 222128196 259149562 333192294 388724343 518299124 666384588 777448686 1166173029 1554897372 2332346058 4664692116