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135554246820 = 2234583675461
BaseRepresentation
bin111111000111110101…
…0011010100010100100
3110221220000020012220000
41332033222122202210
54210103341344240
6142134525541300
712536106041526
oct1761752324244
9427800205800
10135554246820
1152540924a63
1222330a14830
13ca237cc905
1467bd003a16
1537d579b430
hex1f8fa9a8a4

135554246820 has 60 divisors (see below), whose sum is σ = 425238697884. Its totient is φ = 36147798720.

The previous prime is 135554246803. The next prime is 135554246827. The reversal of 135554246820 is 28642455531.

135554246820 is a `hidden beast` number, since 1 + 35 + 554 + 2 + 4 + 68 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 22932256356 + 112621990464 = 151434^2 + 335592^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×1355542468202 (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (135554246827) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 41836111 + ... + 41839350.

Almost surely, 2135554246820 is an apocalyptic number.

135554246820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135554246820 is an abundant number, since it is smaller than the sum of its proper divisors (289684451064).

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

135554246820 is a wasteful number, since it uses less digits than its factorization.

135554246820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83675482 (or 83675471 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 135554246820 in words is "one hundred thirty-five billion, five hundred fifty-four million, two hundred forty-six thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 83675461 167350922 251026383 334701844 418377305 502052766 753079149 836754610 1004105532 1255131915 1506158298 1673509220 2259237447 2510263830 3012316596 3765395745 4518474894 5020527660 6777712341 7530791490 9036949788 11296187235 13555424682 15061582980 22592374470 27110849364 33888561705 45184748940 67777123410 135554246820