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130053561750 = 23253767712197
BaseRepresentation
bin111100100011111001…
…0111101110110010110
3110102200122201110112100
41321013302331312112
54112322202434000
6135425031102530
712252564015030
oct1710762756626
9412618643470
10130053561750
1150178932942
1221256811a46
13c358009188
14641a64cc50
1535b28e3a00
hex1e47cbdd96

130053561750 has 192 divisors, whose sum is σ = 402529315968. Its totient is φ = 29680185600.

The previous prime is 130053561739. The next prime is 130053561751. The reversal of 130053561750 is 57165350031.

130053561750 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 5 + 35 + 617 + 5 + 0 = 666.

It is a super-2 number, since 2×1300535617502 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130053561751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10656652 + ... + 10668848.

It is an arithmetic number, because the mean of its divisors is an integer number (2096506854).

Almost surely, 2130053561750 is an apocalyptic number.

130053561750 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 130053561750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201264657984).

130053561750 is an abundant number, since it is smaller than the sum of its proper divisors (272475754218).

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

130053561750 is a wasteful number, since it uses less digits than its factorization.

130053561750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12904 (or 12891 counting only the distinct ones).

The product of its (nonzero) digits is 47250, while the sum is 36.

The spelling of 130053561750 in words is "one hundred thirty billion, fifty-three million, five hundred sixty-one thousand, seven hundred fifty".