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42696192400 = 2452173616997
BaseRepresentation
bin100111110000111001…
…000011000110010000
311002012120102022011021
4213300321003012100
51144420211124100
631340411325224
73041023435021
oct476071030620
9132176368137
1042696192400
111711a984324
128336a50814
134045834b94
1420d06ccc48
15119d568a1a
hex9f0e43190

42696192400 has 60 divisors (see below), whose sum is σ = 103170703572. Its totient is φ = 16979729920.

The previous prime is 42696192373. The next prime is 42696192403. The reversal of 42696192400 is 429169624.

It can be written as a sum of positive squares in 6 ways, for example, as 667912336 + 42028280064 = 25844^2 + 205008^2 .

It is not an unprimeable number, because it can be changed into a prime (42696192403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 239299 + ... + 377698.

Almost surely, 242696192400 is an apocalyptic number.

42696192400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42696192400 is an abundant number, since it is smaller than the sum of its proper divisors (60474511172).

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

42696192400 is a wasteful number, since it uses less digits than its factorization.

42696192400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617188 (or 617177 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 43.

The spelling of 42696192400 in words is "forty-two billion, six hundred ninety-six million, one hundred ninety-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 173 200 346 400 692 865 1384 1730 2768 3460 4325 6920 8650 13840 17300 34600 69200 616997 1233994 2467988 3084985 4935976 6169970 9871952 12339940 15424925 24679880 30849850 49359760 61699700 106740481 123399400 213480962 246798800 426961924 533702405 853923848 1067404810 1707847696 2134809620 2668512025 4269619240 5337024050 8539238480 10674048100 21348096200 42696192400