Search a number
-
+
48426170625 = 335471972081
BaseRepresentation
bin101101000110011011…
…001011100100000001
311121222220101100121000
4231012123023210001
51243134044430000
634125140522213
73333021441630
oct550633134401
9147886340530
1048426170625
11195a0346818
1294759b0369
13474999ac41
1424b56cd517
1513d6615000
hexb466cb901

48426170625 has 160 divisors (see below), whose sum is σ = 103026021120. Its totient is φ = 22014720000.

The previous prime is 48426170623. The next prime is 48426170629. The reversal of 48426170625 is 52607162484.

48426170625 is a `hidden beast` number, since 4 + 8 + 4 + 2 + 6 + 17 + 0 + 625 = 666.

It is not a de Polignac number, because 48426170625 - 21 = 48426170623 is a prime.

It is a super-2 number, since 2×484261706252 (a number of 22 digits) contains 22 as substring.

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 (48426170623) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 23269585 + ... + 23271665.

It is an arithmetic number, because the mean of its divisors is an integer number (643912632).

Almost surely, 248426170625 is an apocalyptic number.

48426170625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

48426170625 is an abundant number, since it is smaller than the sum of its proper divisors (54599850495).

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

48426170625 is a wasteful number, since it uses less digits than its factorization.

48426170625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2314 (or 2293 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 48426170625 in words is "forty-eight billion, four hundred twenty-six million, one hundred seventy thousand, six hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 105 125 135 175 189 197 225 315 375 525 591 625 675 875 945 985 1125 1379 1575 1773 1875 2081 2625 2955 3375 4137 4375 4725 4925 5319 5625 6243 6895 7875 8865 10405 12411 13125 14567 14775 16875 18729 20685 23625 24625 26595 31215 34475 37233 39375 43701 44325 52025 56187 62055 72835 73875 93645 103425 118125 123125 131103 132975 156075 172375 186165 218505 221625 260125 280935 310275 364175 369375 393309 409957 468225 517125 655515 664875 780375 861875 930825 1092525 1108125 1229871 1300625 1404675 1551375 1820875 1966545 2049785 2341125 2585625 2869699 3277575 3324375 3689613 3901875 4654125 5462625 6149355 7023375 7756875 8609097 9104375 9832725 10248925 11068839 11705625 14348495 16387875 18448065 23270625 25827291 27313125 30746775 35116875 43045485 49163625 51244625 55344195 71742475 77481873 81939375 92240325 129136455 153733875 215227425 245818125 256223125 276720975 358712375 387409365 461201625 645682275 768669375 1076137125 1383604875 1793561875 1937046825 2306008125 3228411375 5380685625 6918024375 9685234125 16142056875 48426170625