Search a number
-
+
10050787387872 = 25347111959167269
BaseRepresentation
bin1001001001000010000110…
…0111001010100111100000
31022120211211122122212120000
42102100201213022213200
52304133003032402442
633213133515020000
72055100611124440
oct222204147124740
938524748585500
1010050787387872
113225573503250
121163ab043a600
1357ba2908361a
1426a664264120
1512669d9bcd4c
hex924219ca9e0

10050787387872 has 1920 divisors, whose sum is σ = 39833773056000. Its totient is φ = 2407733268480.

The previous prime is 10050787387867. The next prime is 10050787387877. The reversal of 10050787387872 is 27878378705001.

10050787387872 is a `hidden beast` number, since 10 + 0 + 507 + 8 + 7 + 38 + 7 + 87 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (10050787387867) and next prime (10050787387877).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10050787387877) by changing a digit.

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 319 ways as a sum of consecutive naturals, for example, 37363521754 + ... + 37363522022.

It is an arithmetic number, because the mean of its divisors is an integer number (20746756800).

Almost surely, 210050787387872 is an apocalyptic number.

10050787387872 is a gapful number since it is divisible by the number (12) 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 10050787387872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19916886528000).

10050787387872 is an abundant number, since it is smaller than the sum of its proper divisors (29782985668128).

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

10050787387872 is a wasteful number, since it uses less digits than its factorization.

10050787387872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 36879360, while the sum is 63.

The spelling of 10050787387872 in words is "ten trillion, fifty billion, seven hundred eighty-seven million, three hundred eighty-seven thousand, eight hundred seventy-two".