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130248858178560 = 21035111022375407
BaseRepresentation
bin11101100111010111101100…
…111011001001010000000000
3122002011200001212120121100010
4131213113230323021100000
5114032444130143203220
61141003255512224520
736302112061262652
oct3547275473112000
9562150055517303
10130248858178560
11385572599520a0
121273712709b140
13578a550c0c794
1424241150a66d2
15100d11201a1e0
hex7675ecec9400

130248858178560 has 352 divisors, whose sum is σ = 454515390554112. Its totient is φ = 31571973406720.

The previous prime is 130248858178559. The next prime is 130248858178561. The reversal of 130248858178560 is 65871858842031.

It is an interprime number because it is at equal distance from previous prime (130248858178559) and next prime (130248858178561).

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 130248858178491 and 130248858178500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130248858178561) 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 31 ways as a sum of consecutive naturals, for example, 1727240377 + ... + 1727315783.

Almost surely, 2130248858178560 is an apocalyptic number.

130248858178560 is a gapful number since it is divisible by the number (10) 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 130248858178560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227257695277056).

130248858178560 is an abundant number, since it is smaller than the sum of its proper divisors (324266532375552).

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

130248858178560 is a wasteful number, since it uses less digits than its factorization.

130248858178560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85669 (or 85651 counting only the distinct ones).

The product of its (nonzero) digits is 103219200, while the sum is 66.

The spelling of 130248858178560 in words is "one hundred thirty trillion, two hundred forty-eight billion, eight hundred fifty-eight million, one hundred seventy-eight thousand, five hundred sixty".