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3813681411900 = 223352172347101761
BaseRepresentation
bin110111011111110001001…
…000000011011100111100
3111111120210000101202022000
4313133301020003130330
5444440404420140100
612035551524022300
7542346403066263
oct67376110033474
914446700352260
103813681411900
111240411809758
1251714a231990
132188230aca79
14d28242c35da
1569308bd7900
hex377f120373c

3813681411900 has 1152 divisors, whose sum is σ = 13989424619520. Its totient is φ = 886026240000.

The previous prime is 3813681411857. The next prime is 3813681411901. The reversal of 3813681411900 is 91141863183.

3813681411900 is a `hidden beast` number, since 381 + 3 + 6 + 81 + 4 + 1 + 190 + 0 = 666.

It is a super-2 number, since 2×38136814119002 (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3813681411901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5011407520 + ... + 5011408280.

It is an arithmetic number, because the mean of its divisors is an integer number (12143597760).

Almost surely, 23813681411900 is an apocalyptic number.

3813681411900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3813681411900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6994712309760).

3813681411900 is an abundant number, since it is smaller than the sum of its proper divisors (10175743207620).

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

3813681411900 is a wasteful number, since it uses less digits than its factorization.

3813681411900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 3813681411900 in words is "three trillion, eight hundred thirteen billion, six hundred eighty-one million, four hundred eleven thousand, nine hundred".