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131366460400 = 2452746916593
BaseRepresentation
bin111101001011000001…
…1010001101111110000
3110120002011011121220021
41322112003101233300
54123014303213100
6140203211053224
712330245326630
oct1722603215760
9416064147807
10131366460400
1150791a4004a
1221562441214
13c50700c196
146502b6a6c0
15363ccd0a1a
hex1e960d1bf0

131366460400 has 60 divisors (see below), whose sum is σ = 360694774672. Its totient is φ = 45039928320.

The previous prime is 131366460397. The next prime is 131366460419. The reversal of 131366460400 is 4064663131.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23455497 + ... + 23461096.

Almost surely, 2131366460400 is an apocalyptic number.

131366460400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131366460400 is an abundant number, since it is smaller than the sum of its proper divisors (229328314272).

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

131366460400 is a wasteful number, since it uses less digits than its factorization.

131366460400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46916618 (or 46916607 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 34.

The spelling of 131366460400 in words is "one hundred thirty-one billion, three hundred sixty-six million, four hundred sixty thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 1400 2800 46916593 93833186 187666372 234582965 328416151 375332744 469165930 656832302 750665488 938331860 1172914825 1313664604 1642080755 1876663720 2345829650 2627329208 3284161510 3753327440 4691659300 5254658416 6568323020 8210403775 9383318600 13136646040 16420807550 18766637200 26273292080 32841615100 65683230200 131366460400