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48506906736 = 24328936710313
BaseRepresentation
bin101101001011001111…
…001010100001110000
311122012112022011201100
4231023033022201300
51243320232003421
634141143204400
73335021622111
oct551317124160
9148175264640
1048506906736
111963197aa82
129498a46700
1347606283a2
1424c2308208
1513dd761c26
hexb4b3ca870

48506906736 has 120 divisors (see below), whose sum is σ = 137664671040. Its totient is φ = 15942187008.

The previous prime is 48506906731. The next prime is 48506906807. The reversal of 48506906736 is 63760960584.

48506906736 is a `hidden beast` number, since 48 + 506 + 9 + 0 + 67 + 36 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48506906731) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4698316 + ... + 4708628.

It is an arithmetic number, because the mean of its divisors is an integer number (1147205592).

Almost surely, 248506906736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48506906736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68832335520).

48506906736 is an abundant number, since it is smaller than the sum of its proper divisors (89157764304).

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

48506906736 is a wasteful number, since it uses less digits than its factorization.

48506906736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10783 (or 10774 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 48506906736 in words is "forty-eight billion, five hundred six million, nine hundred six thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 89 144 178 267 356 367 534 712 734 801 1068 1101 1424 1468 1602 2136 2202 2936 3204 3303 4272 4404 5872 6408 6606 8808 10313 12816 13212 17616 20626 26424 30939 32663 41252 52848 61878 65326 82504 92817 97989 123756 130652 165008 185634 195978 247512 261304 293967 371268 391956 495024 522608 587934 742536 783912 917857 1175868 1485072 1567824 1835714 2351736 2753571 3671428 3784871 4703472 5507142 7342856 7569742 8260713 11014284 11354613 14685712 15139484 16521426 22028568 22709226 30278968 33042852 34063839 44057136 45418452 60557936 66085704 68127678 90836904 132171408 136255356 181673808 272510712 336853519 545021424 673707038 1010560557 1347414076 2021121114 2694828152 3031681671 4042242228 5389656304 6063363342 8084484456 12126726684 16168968912 24253453368 48506906736