Search a number
-
+
48100859580852 = 223213102779614489
BaseRepresentation
bin10101110111111010110101…
…01001100001000110110100
320022022101201121101222200100
422323331122221201012310
522301041030023041402
6250145121351114100
713063113066255141
oct1273753251410664
9208271647358610
1048100859580852
1114365507279201
12548a328672930
1320abb78ab2480
14bc41460133c8
155863315b271c
hex2bbf5aa611b4

48100859580852 has 36 divisors (see below), whose sum is σ = 130941228860260. Its totient is φ = 14800264486272.

The previous prime is 48100859580793. The next prime is 48100859580869. The reversal of 48100859580852 is 25808595800184.

48100859580852 is a `hidden beast` number, since 48 + 1 + 0 + 0 + 8 + 5 + 9 + 580 + 8 + 5 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4831749119376 + 43269110461476 = 2198124^2 + 6577926^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×481008595808523 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 48100859580852.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51389806777 + ... + 51389807712.

Almost surely, 248100859580852 is an apocalyptic number.

It is an amenable number.

48100859580852 is an abundant number, since it is smaller than the sum of its proper divisors (82840369279408).

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

48100859580852 is a wasteful number, since it uses less digits than its factorization.

48100859580852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102779614512 (or 102779614507 counting only the distinct ones).

The product of its (nonzero) digits is 36864000, while the sum is 63.

The spelling of 48100859580852 in words is "forty-eight trillion, one hundred billion, eight hundred fifty-nine million, five hundred eighty thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 102779614489 205559228978 308338843467 411118457956 616677686934 925016530401 1233355373868 1336134988357 1850033060802 2672269976714 3700066121604 4008404965071 5344539953428 8016809930142 12025214895213 16033619860284 24050429790426 48100859580852