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130636481600 = 2652172347387
BaseRepresentation
bin111100110101010001…
…0101000010001000000
3110111012021120212020102
41321222202220101000
54120020414402400
6140002533101532
712303202525562
oct1715242502100
9414167525212
10130636481600
1150447985189
1221399a878a8
13c41ba04671
146473c2b332
1535e8b8a9d5
hex1e6a8a8440

130636481600 has 84 divisors (see below), whose sum is σ = 321640742544. Its totient is φ = 52223162880.

The previous prime is 130636481543. The next prime is 130636481761. The reversal of 130636481600 is 6184636031.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2733107 + ... + 2780493.

Almost surely, 2130636481600 is an apocalyptic number.

130636481600 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 130636481600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160820371272).

130636481600 is an abundant number, since it is smaller than the sum of its proper divisors (191004260944).

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

130636481600 is a wasteful number, since it uses less digits than its factorization.

130636481600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49132 (or 49117 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 38.

The spelling of 130636481600 in words is "one hundred thirty billion, six hundred thirty-six million, four hundred eighty-one thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 1723 3446 6892 8615 13784 17230 27568 34460 43075 47387 55136 68920 86150 94774 110272 137840 172300 189548 236935 275680 344600 379096 473870 551360 689200 758192 947740 1184675 1378400 1516384 1895480 2369350 2756800 3032768 3790960 4738700 7581920 9477400 15163840 18954800 37909600 75819200 81647801 163295602 326591204 408239005 653182408 816478010 1306364816 1632956020 2041195025 2612729632 3265912040 4082390050 5225459264 6531824080 8164780100 13063648160 16329560200 26127296320 32659120400 65318240800 130636481600