Search a number
-
+
4993952016 = 243104040667
BaseRepresentation
bin1001010011010100…
…11010100100010000
3110220001000001021210
410221222122210100
540211422431031
62143313420120
7234516614604
oct45152324420
913801001253
104993952016
112132a57079
12b7456a640
13617821ac1
14355369504
151e365e746
hex129a9a910

4993952016 has 20 divisors (see below), whose sum is σ = 12901042832. Its totient is φ = 1664650656.

The previous prime is 4993951961. The next prime is 4993952021. The reversal of 4993952016 is 6102593994.

It is a super-2 number, since 2×49939520162 = 49879113476220928512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 104040667 = 4993952016 / (4 + 9 + 9 + 3 + 9 + 5 + 2 + 0 + 1 + 6).

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 3 ways as a sum of consecutive naturals, for example, 52020286 + ... + 52020381.

Almost surely, 24993952016 is an apocalyptic number.

It is an amenable number.

4993952016 is an abundant number, since it is smaller than the sum of its proper divisors (7907090816).

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

4993952016 is a wasteful number, since it uses less digits than its factorization.

4993952016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104040678 (or 104040672 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 48.

The square root of 4993952016 is about 70667.8994735233. The cubic root of 4993952016 is about 1709.2862080223.

The spelling of 4993952016 in words is "four billion, nine hundred ninety-three million, nine hundred fifty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 104040667 208081334 312122001 416162668 624244002 832325336 1248488004 1664650672 2496976008 4993952016