Search a number
-
+
48567131460 = 22325318703787
BaseRepresentation
bin101101001110110100…
…111001110101000100
311122100201121220111200
4231032310321311010
51243431141201320
634151134102500
73336352543311
oct551664716504
9148321556450
1048567131460
1119662974781
1294b504aa30
13476cc53713
1424ca303d08
1513e3bab290
hexb4ed39d44

48567131460 has 72 divisors (see below), whose sum is σ = 152072583936. Its totient is φ = 12533451840.

The previous prime is 48567131449. The next prime is 48567131461. The reversal of 48567131460 is 6413176584.

48567131460 is a `hidden beast` number, since 4 + 8 + 56 + 7 + 131 + 460 = 666.

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 (48567131461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4346314 + ... + 4357473.

Almost surely, 248567131460 is an apocalyptic number.

It is an amenable number.

48567131460 is an abundant number, since it is smaller than the sum of its proper divisors (103505452476).

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

48567131460 is a wasteful number, since it uses less digits than its factorization.

48567131460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8703833 (or 8703828 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 48567131460 in words is "forty-eight billion, five hundred sixty-seven million, one hundred thirty-one thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 930 1116 1395 1860 2790 5580 8703787 17407574 26111361 34815148 43518935 52222722 78334083 87037870 104445444 130556805 156668166 174075740 261113610 269817397 313336332 391670415 522227220 539634794 783340830 809452191 1079269588 1349086985 1566681660 1618904382 2428356573 2698173970 3237808764 4047260955 4856713146 5396347940 8094521910 9713426292 12141782865 16189043820 24283565730 48567131460