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130707987564 = 2237114710329221
BaseRepresentation
bin111100110111011001…
…1011001110001101100
3110111101021010201222110
41321232303121301230
54120142221100224
6140014005444020
712305031364020
oct1715663316154
9414337121873
10130707987564
1150484284720
12213b9a10610
13c43077c79b
14647d522380
1536000b2929
hex1e6ecd9c6c

130707987564 has 192 divisors, whose sum is σ = 392115290112. Its totient is φ = 32904057600.

The previous prime is 130707987523. The next prime is 130707987569. The reversal of 130707987564 is 465789707031.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (130707987569) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4458474 + ... + 4487694.

It is an arithmetic number, because the mean of its divisors is an integer number (2042267136).

Almost surely, 2130707987564 is an apocalyptic number.

130707987564 is a gapful number since it is divisible by the number (14) 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 130707987564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196057645056).

130707987564 is an abundant number, since it is smaller than the sum of its proper divisors (261407302548).

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

130707987564 is a wasteful number, since it uses less digits than its factorization.

130707987564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29396 (or 29394 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 57.

The spelling of 130707987564 in words is "one hundred thirty billion, seven hundred seven million, nine hundred eighty-seven thousand, five hundred sixty-four".