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42484622648424 = 23311374349367593
BaseRepresentation
bin10011010100011101110001…
…10101110110010001101000
312120102111020101210011210020
421222032320311312101220
521032032001344222144
6230205055522320440
711643261361066365
oct1152167065662150
9176374211704706
1042484622648424
111259a699a05530
12492197a1b9120
131a9238a1bbca8
14a6c3a3bbb46c
154da1c882a419
hex26a3b8d76468

42484622648424 has 64 divisors (see below), whose sum is σ = 118998697371840. Its totient is φ = 12526178664960.

The previous prime is 42484622648399. The next prime is 42484622648437.

42484622648424 is nontrivially palindromic in base 10.

42484622648424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2174674029 + ... + 2174693564.

It is an arithmetic number, because the mean of its divisors is an integer number (1859354646435).

Almost surely, 242484622648424 is an apocalyptic number.

42484622648424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42484622648424 is an abundant number, since it is smaller than the sum of its proper divisors (76514074723416).

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

42484622648424 is a wasteful number, since it uses less digits than its factorization.

42484622648424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4349367650 (or 4349367646 counting only the distinct ones).

The product of its digits is 150994944, while the sum is 60.

The spelling of 42484622648424 in words is "forty-two trillion, four hundred eighty-four billion, six hundred twenty-two million, six hundred forty-eight thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 37 44 66 74 88 111 132 148 222 264 296 407 444 814 888 1221 1628 2442 3256 4884 9768 4349367593 8698735186 13048102779 17397470372 26096205558 34794940744 47843043523 52192411116 95686087046 104384822232 143529130569 160926600941 191372174092 287058261138 321853201882 382744348184 482779802823 574116522276 643706403764 965559605646 1148233044552 1287412807528 1770192610351 1931119211292 3540385220702 3862238422584 5310577831053 7080770441404 10621155662106 14161540882808 21242311324212 42484622648424