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134012756880 = 2434520680981
BaseRepresentation
bin111110011001111001…
…0000110001110010000
3110210220120122102020000
41330303302012032100
54143424231210010
6141321542250000
712452650432002
oct1746362061620
9423816572200
10134012756880
115191a786832
1221b80726900
13c8393418a2
1466b43c0372
1537452a87c0
hex1f33c86390

134012756880 has 100 divisors (see below), whose sum is σ = 465446180892. Its totient is φ = 35736733440.

The previous prime is 134012756827. The next prime is 134012756893. The reversal of 134012756880 is 88657210431.

134012756880 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 1 + 2 + 7 + 568 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 52637207184 + 81375549696 = 229428^2 + 285264^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10334011 + ... + 10346970.

Almost surely, 2134012756880 is an apocalyptic number.

134012756880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134012756880 is an abundant number, since it is smaller than the sum of its proper divisors (331433424012).

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

134012756880 is a wasteful number, since it uses less digits than its factorization.

134012756880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20681006 (or 20680991 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 134012756880 in words is "one hundred thirty-four billion, twelve million, seven hundred fifty-six thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480 20680981 41361962 62042943 82723924 103404905 124085886 165447848 186128829 206809810 248171772 310214715 330895696 372257658 413619620 496343544 558386487 620429430 744515316 827239240 930644145 992687088 1116772974 1240858860 1489030632 1654478480 1675159461 1861288290 2233545948 2481717720 2791932435 2978061264 3350318922 3722576580 4467091896 4963435440 5583864870 6700637844 7445153160 8375797305 8934183792 11167729740 13401275688 14890306320 16751594610 22335459480 26802551376 33503189220 44670918960 67006378440 134012756880