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38426391900 = 2236521323119
BaseRepresentation
bin100011110010011001…
…000011010101011100
310200012000000222000000
4203302121003111130
51112144124020100
625353002534300
72530145641041
oct436231032534
9120160028000
1038426391900
1115329772a86
127544b07390
13381505a400
141c075c71c8
15eed79c900
hex8f264355c

38426391900 has 378 divisors, whose sum is σ = 135420863760. Its totient is φ = 9455771520.

The previous prime is 38426391859. The next prime is 38426391917. The reversal of 38426391900 is 919362483.

It is a happy number.

38426391900 is a `hidden beast` number, since 3 + 8 + 4 + 2 + 639 + 1 + 9 + 0 + 0 = 666.

It is a super-2 number, since 2×384263919002 (a number of 22 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 12318541 + ... + 12321659.

Almost surely, 238426391900 is an apocalyptic number.

38426391900 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 38426391900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67710431880).

38426391900 is an abundant number, since it is smaller than the sum of its proper divisors (96994471860).

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

38426391900 is a wasteful number, since it uses less digits than its factorization.

38426391900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3177 (or 3142 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 38426391900 in words is "thirty-eight billion, four hundred twenty-six million, three hundred ninety-one thousand, nine hundred".