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13891620150 = 2335214969061
BaseRepresentation
bin11001111000000000…
…10100110100110110
31022212010112102101000
430330000110310312
5211422223321100
610214241344130
71001150552202
oct147400246466
938763472330
1013891620150
115989503911
122838338046
1314050230a5
1495ad43b02
15564875900
hex33c014d36

13891620150 has 96 divisors (see below), whose sum is σ = 38536596000. Its totient is φ = 3679516800.

The previous prime is 13891620143. The next prime is 13891620167. The reversal of 13891620150 is 5102619831.

13891620150 is a `hidden beast` number, since 13 + 8 + 9 + 1 + 620 + 15 + 0 = 666.

It is a super-2 number, since 2×138916201502 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 166620 + ... + 235680.

It is an arithmetic number, because the mean of its divisors is an integer number (401422875).

Almost surely, 213891620150 is an apocalyptic number.

13891620150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13891620150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19268298000).

13891620150 is an abundant number, since it is smaller than the sum of its proper divisors (24644975850).

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

13891620150 is a wasteful number, since it uses less digits than its factorization.

13891620150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69231 (or 69220 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 13891620150 in words is "thirteen billion, eight hundred ninety-one million, six hundred twenty thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 135 149 150 225 270 298 447 450 675 745 894 1341 1350 1490 2235 2682 3725 4023 4470 6705 7450 8046 11175 13410 20115 22350 33525 40230 67050 69061 100575 138122 201150 207183 345305 414366 621549 690610 1035915 1243098 1726525 1864647 2071830 3107745 3453050 3729294 5179575 6215490 9323235 10290089 10359150 15538725 18646470 20580178 30870267 31077450 46616175 51450445 61740534 92610801 93232350 102900890 154351335 185221602 257252225 277832403 308702670 463054005 514504450 555664806 771756675 926108010 1389162015 1543513350 2315270025 2778324030 4630540050 6945810075 13891620150