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130856348880 = 24345198710163
BaseRepresentation
bin111100111011110100…
…1010110110011010000
3110111202121022021110000
41321313221112303100
54120443211131010
6140040425410000
712311512420215
oct1716751266320
9414677267400
10130856348880
115054aaa7784
122143b639900
13c45542684a
146495101b0c
15360d11b7c0
hex1e77a56cd0

130856348880 has 200 divisors, whose sum is σ = 454756956192. Its totient is φ = 34874032896.

The previous prime is 130856348869. The next prime is 130856348891. The reversal of 130856348880 is 88843658031.

130856348880 is a `hidden beast` number, since 1 + 3 + 0 + 85 + 6 + 3 + 488 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (130856348869) and next prime (130856348891).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12870679 + ... + 12880841.

Almost surely, 2130856348880 is an apocalyptic number.

130856348880 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 130856348880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227378478096).

130856348880 is an abundant number, since it is smaller than the sum of its proper divisors (323900607312).

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

130856348880 is a wasteful number, since it uses less digits than its factorization.

130856348880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12175 (or 12160 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 130856348880 in words is "one hundred thirty billion, eight hundred fifty-six million, three hundred forty-eight thousand, eight hundred eighty".