Search a number
-
+
207702319104 = 2133273773149
BaseRepresentation
bin1100000101110000000…
…1011110000000000000
3201212010010120000222100
43001130001132000000
511400333243202404
6235230033310400
721002025403560
oct3013401360000
9655103500870
10207702319104
11800a45a9585
1234307105400
1316780c96c47
14a0a501ada0
15560976cd39
hex305c05e000

207702319104 has 672 divisors, whose sum is σ = 718676337600. Its totient is φ = 56566480896.

The previous prime is 207702319081. The next prime is 207702319117. The reversal of 207702319104 is 401913207702.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×2077023191042 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1393975222 + ... + 1393975370.

Almost surely, 2207702319104 is an apocalyptic number.

207702319104 is a gapful number since it is divisible by the number (24) 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 207702319104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359338168800).

207702319104 is an abundant number, since it is smaller than the sum of its proper divisors (510974018496).

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

207702319104 is a wasteful number, since it uses less digits than its factorization.

207702319104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 207702319104 in words is "two hundred seven billion, seven hundred two million, three hundred nineteen thousand, one hundred four".