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9489436144 = 24291031811097
BaseRepresentation
bin10001101011001110…
…10100110111110000
3220111100001022011221
420311213110313300
5123413243424034
64205343314424
7454104606406
oct106547246760
926440038157
109489436144
11402a5a2911
121a09baba14
13b82ca6c96
1466041b476
153a8159bb4
hex2359d4df0

9489436144 has 80 divisors (see below), whose sum is σ = 19328137920. Its totient is φ = 4507453440.

The previous prime is 9489436127. The next prime is 9489436153. The reversal of 9489436144 is 4416349849.

It is a junction number, because it is equal to n+sod(n) for n = 9489436091 and 9489436100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8649804 + ... + 8650900.

It is an arithmetic number, because the mean of its divisors is an integer number (241601724).

Almost surely, 29489436144 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 9489436144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9664068960).

9489436144 is an abundant number, since it is smaller than the sum of its proper divisors (9838701776).

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

9489436144 is a wasteful number, since it uses less digits than its factorization.

9489436144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1418 (or 1412 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 52.

The square root of 9489436144 is about 97413.7369368407. The cubic root of 9489436144 is about 2117.1264723643.

The spelling of 9489436144 in words is "nine billion, four hundred eighty-nine million, four hundred thirty-six thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 29 58 103 116 181 206 232 362 412 464 724 824 1097 1448 1648 2194 2896 2987 4388 5249 5974 8776 10498 11948 17552 18643 20996 23896 31813 37286 41992 47792 63626 74572 83984 112991 127252 149144 198557 225982 254504 298288 397114 451964 509008 540647 794228 903928 1081294 1588456 1807856 2162588 3176912 3276739 4325176 5758153 6553478 8650352 11516306 13106956 20451371 23032612 26213912 40902742 46065224 52427824 81805484 92130448 163610968 327221936 593089759 1186179518 2372359036 4744718072 9489436144