Search a number
-
+
42618838500 = 22345371737239
BaseRepresentation
bin100111101100010001…
…111101110111100100
311002000011212022120000
4213230101331313210
51144240410313000
631325005341300
73036064102320
oct475421756744
9132004768500
1042618838500
1117090250187
128314b67830
1340327c0044
1420c4314980
151196889000
hex9ec47dde4

42618838500 has 960 divisors, whose sum is σ = 173526312960. Its totient is φ = 8883302400.

The previous prime is 42618838499. The next prime is 42618838513. The reversal of 42618838500 is 583881624.

42618838500 is a `hidden beast` number, since 4 + 2 + 61 + 8 + 83 + 8 + 500 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 178321381 + ... + 178321619.

It is an arithmetic number, because the mean of its divisors is an integer number (180756576).

Almost surely, 242618838500 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 42618838500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86763156480).

42618838500 is an abundant number, since it is smaller than the sum of its proper divisors (130907474460).

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

42618838500 is a wasteful number, since it uses less digits than its factorization.

42618838500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 42618838500 in words is "forty-two billion, six hundred eighteen million, eight hundred thirty-eight thousand, five hundred".