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130377287319552 = 21432713313743197
BaseRepresentation
bin11101101001001111010011…
…111001011100000000000000
3122002121221120022122221111200
4131221033103321130000000
5114042100141023211202
61141142255434341200
736314306502050310
oct3551172371340000
9562557508587450
10130377287319552
11385a6773843639
1212757ba988a800
1357996aa512530
14242a419aa5440
15101162bed8e1c
hex7693d3e5c000

130377287319552 has 2880 divisors, whose sum is σ = 505416595267584. Its totient is φ = 31463193968640.

The previous prime is 130377287319547. The next prime is 130377287319553. The reversal of 130377287319552 is 255913782773031.

It is a happy number.

130377287319552 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 7 + 7 + 2 + 8 + 73 + 1 + 9 + 552 = 666.

It is a super-2 number, since 2×1303772873195522 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 130377287319552.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130377287319553) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 661813641118 + ... + 661813641314.

Almost surely, 2130377287319552 is an apocalyptic number.

130377287319552 is a gapful number since it is divisible by the number (12) 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 130377287319552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252708297633792).

130377287319552 is an abundant number, since it is smaller than the sum of its proper divisors (375039307948032).

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

130377287319552 is a wasteful number, since it uses less digits than its factorization.

130377287319552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 66679200, while the sum is 63.

The spelling of 130377287319552 in words is "one hundred thirty trillion, three hundred seventy-seven billion, two hundred eighty-seven million, three hundred nineteen thousand, five hundred fifty-two".