Search a number
-
+
37990349820 = 223251723618849
BaseRepresentation
bin100011011000011001…
…101011101111111100
310122001121112201201100
4203120121223233330
51110301012143240
625241425013100
72513302434243
oct433031535774
9118047481640
1037990349820
1115125620125
127442a84190
133775909947
141ba571d95a
15ec5369e30
hex8d866bbfc

37990349820 has 288 divisors, whose sum is σ = 129422966400. Its totient is φ = 8969748480.

The previous prime is 37990349819. The next prime is 37990349833. The reversal of 37990349820 is 2894309973.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4288756 + ... + 4297604.

It is an arithmetic number, because the mean of its divisors is an integer number (449385300).

Almost surely, 237990349820 is an apocalyptic number.

37990349820 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 37990349820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64711483200).

37990349820 is an abundant number, since it is smaller than the sum of its proper divisors (91432616580).

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

37990349820 is a wasteful number, since it uses less digits than its factorization.

37990349820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8965 (or 8960 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 37990349820 in words is "thirty-seven billion, nine hundred ninety million, three hundred forty-nine thousand, eight hundred twenty".