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42202204002 = 23272638531493
BaseRepresentation
bin100111010011011100…
…101000011101100010
311000221010220002110200
4213103130220131202
51142412231012002
631215403410030
73022544546430
oct472334503542
9130833802420
1042202204002
1116997053552
128219523916
133c973a615a
142084c5dd50
15116eedbb1c
hex9d3728762

42202204002 has 96 divisors (see below), whose sum is σ = 105091354368. Its totient is φ = 11989807488.

The previous prime is 42202203997. The next prime is 42202204043. The reversal of 42202204002 is 20040220224.

42202204002 is a `hidden beast` number, since 42 + 2 + 0 + 220 + 400 + 2 = 666.

42202204002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28265968 + ... + 28267460.

It is an arithmetic number, because the mean of its divisors is an integer number (1094701608).

Almost surely, 242202204002 is an apocalyptic number.

42202204002 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 42202204002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52545677184).

42202204002 is an abundant number, since it is smaller than the sum of its proper divisors (62889150366).

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

42202204002 is a wasteful number, since it uses less digits than its factorization.

42202204002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2624 (or 2621 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 42202204002 its reverse (20040220224), we get a palindrome (62242424226).

The spelling of 42202204002 in words is "forty-two billion, two hundred two million, two hundred four thousand, two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 263 526 789 853 1493 1578 1706 1841 2367 2559 2986 3682 4479 4734 5118 5523 5971 7677 8958 10451 11046 11942 13437 15354 16569 17913 20902 26874 31353 33138 35826 53739 62706 94059 107478 188118 224339 392659 448678 673017 785318 1177977 1273529 1346034 1570373 2019051 2355954 2547058 2748613 3140746 3533931 3820587 4038102 4711119 5497226 7067862 7641174 8245839 8914703 9422238 11461761 14133357 16491678 17829406 22923522 24737517 26744109 28266714 49475034 53488218 80232327 160464654 334938127 669876254 1004814381 2009628762 2344566889 3014443143 4689133778 6028886286 7033700667 14067401334 21101102001 42202204002