Search a number
-
+
13890154752 = 2834669857
BaseRepresentation
bin11001110111110101…
…01111000100000000
31022212000202222020000
430323322233010000
5211421334423002
610214150120000
71001132236665
oct147372570400
938760688200
1013890154752
1159886a2941
122837950000
13140492c0a6
1495aa81a6c
1556468661c
hex33beaf100

13890154752 has 90 divisors (see below), whose sum is σ = 41417989998. Its totient is φ = 4630044672.

The previous prime is 13890154741. The next prime is 13890154813. The reversal of 13890154752 is 25745109831.

13890154752 is a `hidden beast` number, since 13 + 8 + 90 + 1 + 547 + 5 + 2 = 666.

13890154752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 13571318016 + 318836736 = 116496^2 + 17856^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13890154698 and 13890154707.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 314193 + ... + 355664.

Almost surely, 213890154752 is an apocalyptic number.

13890154752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13890154752 is an abundant number, since it is smaller than the sum of its proper divisors (27527835246).

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

13890154752 is an frugal number, since it uses more digits than its factorization.

13890154752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669885 (or 669862 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 13890154752 in words is "thirteen billion, eight hundred ninety million, one hundred fifty-four thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 5184 6912 10368 20736 669857 1339714 2009571 2679428 4019142 5358856 6028713 8038284 10717712 12057426 16076568 18086139 21435424 24114852 32153136 36172278 42870848 48229704 54258417 64306272 72344556 85741696 96459408 108516834 128612544 144689112 171483392 192918816 217033668 257225088 289378224 385837632 434067336 514450176 578756448 771675264 868134672 1157512896 1543350528 1736269344 2315025792 3472538688 4630051584 6945077376 13890154752