Search a number
-
+
207796126720 = 21057213429
BaseRepresentation
bin1100000110000110011…
…1010100010000000000
3201212100200001221211111
43001201213110100000
511401031302023340
6235243224053104
721004244635300
oct3014147242000
9655320057744
10207796126720
1180142550636
1234332604194
1316797550000
14a0b3679600
155612aecaea
hex30619d4400

207796126720 has 660 divisors, whose sum is σ = 649829689020. Its totient is φ = 63496323072.

The previous prime is 207796126711. The next prime is 207796126729. The reversal of 207796126720 is 27621697702.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (207796126711) and next prime (207796126729).

It can be written as a sum of positive squares in 10 ways, for example, as 207177908224 + 618218496 = 455168^2 + 24864^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (207796126729) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7165383666 + ... + 7165383694.

Almost surely, 2207796126720 is an apocalyptic number.

207796126720 is a gapful number since it is divisible by the number (20) 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 207796126720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324914844510).

207796126720 is an abundant number, since it is smaller than the sum of its proper divisors (442033562300).

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

207796126720 is an frugal number, since it uses more digits than its factorization.

207796126720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 889056, while the sum is 49.

The spelling of 207796126720 in words is "two hundred seven billion, seven hundred ninety-six million, one hundred twenty-six thousand, seven hundred twenty".