Search a number
-
+
207130150560 = 253523314779163
BaseRepresentation
bin1100000011100111101…
…0110100011010100000
3201210122020220212021210
43000321322310122200
511343200304304220
6235053153550120
720651610141654
oct3007172643240
9653566825253
10207130150560
117a93062a913
1234187575340
13166bc594288
14a04d03aa64
1555c43eb6e0
hex3039eb46a0

207130150560 has 768 divisors, whose sum is σ = 731287388160. Its totient is φ = 49104506880.

The previous prime is 207130150553. The next prime is 207130150567. The reversal of 207130150560 is 65051031702.

It is an interprime number because it is at equal distance from previous prime (207130150553) and next prime (207130150567).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (207130150567) 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 127 ways as a sum of consecutive naturals, for example, 1270737039 + ... + 1270737201.

It is an arithmetic number, because the mean of its divisors is an integer number (952197120).

Almost surely, 2207130150560 is an apocalyptic number.

207130150560 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 207130150560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365643694080).

207130150560 is an abundant number, since it is smaller than the sum of its proper divisors (524157237600).

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

207130150560 is a wasteful number, since it uses less digits than its factorization.

207130150560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

The spelling of 207130150560 in words is "two hundred seven billion, one hundred thirty million, one hundred fifty thousand, five hundred sixty".