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4882463228232 = 233367973478073
BaseRepresentation
bin100011100001100100101…
…1111001000000101001000
3122021202111020221110211000
41013003021133020011020
51114443241041300412
614214550031335000
71012513663454142
oct107031137100510
918252436843730
104882463228232
111612706230257
1266a307081460
13295550302cc5
1412c45363bc92
158700db314dc
hex470c97c8148

4882463228232 has 128 divisors (see below), whose sum is σ = 13906731081600. Its totient is φ = 1586668621824.

The previous prime is 4882463228231. The next prime is 4882463228239. The reversal of 4882463228232 is 2328223642884.

4882463228232 is a `hidden beast` number, since 4 + 8 + 82 + 4 + 6 + 322 + 8 + 232 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4882463228231) 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 31 ways as a sum of consecutive naturals, for example, 335253 + ... + 3142820.

It is an arithmetic number, because the mean of its divisors is an integer number (108646336575).

Almost surely, 24882463228232 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 4882463228232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6953365540800).

4882463228232 is an abundant number, since it is smaller than the sum of its proper divisors (9024267853368).

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

4882463228232 is a wasteful number, since it uses less digits than its factorization.

4882463228232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3478252 (or 3478242 counting only the distinct ones).

The product of its digits is 14155776, while the sum is 54.

The spelling of 4882463228232 in words is "four trillion, eight hundred eighty-two billion, four hundred sixty-three million, two hundred twenty-eight thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 67 72 97 108 134 194 201 216 268 291 388 402 536 582 603 776 804 873 1164 1206 1608 1746 1809 2328 2412 2619 3492 3618 4824 5238 6499 6984 7236 10476 12998 14472 19497 20952 25996 38994 51992 58491 77988 116982 155976 175473 233964 350946 467928 701892 1403784 3478073 6956146 10434219 13912292 20868438 27824584 31302657 41736876 62605314 83473752 93907971 125210628 187815942 233030891 250421256 337373081 375631884 466061782 674746162 699092673 751263768 932123564 1012119243 1349492324 1398185346 1864247128 2024238486 2097278019 2698984648 2796370692 3036357729 4048476972 4194556038 5592741384 6072715458 6291834057 8096953944 8389112076 9109073187 12145430916 12583668114 16778224152 18218146374 22603996427 24290861832 25167336228 36436292748 45207992854 50334672456 67811989281 72872585496 90415985708 135623978562 180831971416 203435967843 271247957124 406871935686 542495914248 610307903529 813743871372 1220615807058 1627487742744 2441231614116 4882463228232