Search a number
-
+
9000081944 = 2373116373167
BaseRepresentation
bin10000110000111001…
…00101101000011000
3212020020020112102022
420120130211220120
5121413010110234
64045022554012
7436013301650
oct103034455030
925206215368
109000081944
1138a9347857
1218b2138908
13b057ab699
14615437360
1537a1e5e2e
hex218725a18

9000081944 has 64 divisors (see below), whose sum is σ = 19926466560. Its totient is φ = 3729294720.

The previous prime is 9000081943. The next prime is 9000081977. The reversal of 9000081944 is 4491800009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9000081943) 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 15 ways as a sum of consecutive naturals, for example, 2840249 + ... + 2843415.

It is an arithmetic number, because the mean of its divisors is an integer number (311351040).

Almost surely, 29000081944 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 9000081944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9963233280).

9000081944 is an abundant number, since it is smaller than the sum of its proper divisors (10926384616).

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

9000081944 is a wasteful number, since it uses less digits than its factorization.

9000081944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4848 (or 4844 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

The square root of 9000081944 is about 94868.7616868693. The cubic root of 9000081944 is about 2080.0901360101.

The spelling of 9000081944 in words is "nine billion, eighty-one thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 28 31 56 62 124 217 248 434 868 1637 1736 3167 3274 6334 6548 11459 12668 13096 22169 22918 25336 44338 45836 50747 88676 91672 98177 101494 177352 196354 202988 355229 392708 405976 687239 710458 785416 1374478 1420916 2748956 2841832 5184379 5497912 10368758 20737516 36290653 41475032 72581306 145162612 160715749 290325224 321431498 642862996 1125010243 1285725992 2250020486 4500040972 9000081944