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2424739820391 = 34731672058949
BaseRepresentation
bin100011010010001101110…
…000010111001101100111
322120210200021202022110000
4203102031300113031213
5304211331343223031
65053524325232343
7340116212260230
oct43221560271547
98523607668400
102424739820391
11855365463439
12331b205626b3
13147862540c95
1485502630087
15431168033e6
hex2348dc17367

2424739820391 has 80 divisors (see below), whose sum is σ = 4336906393600. Its totient is φ = 1320856320960.

The previous prime is 2424739820353. The next prime is 2424739820413. The reversal of 2424739820391 is 1930289374242.

It is a happy number.

2424739820391 is a `hidden beast` number, since 2 + 4 + 2 + 47 + 398 + 203 + 9 + 1 = 666.

2424739820391 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2424739820391 - 210 = 2424739819367 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2424739820311) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 148185 + ... + 2207133.

It is an arithmetic number, because the mean of its divisors is an integer number (54211329920).

Almost surely, 22424739820391 is an apocalyptic number.

2424739820391 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2424739820391 is a deficient number, since it is larger than the sum of its proper divisors (1912166573209).

2424739820391 is a wasteful number, since it uses less digits than its factorization.

2424739820391 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2059066 (or 2059057 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 2424739820391 in words is "two trillion, four hundred twenty-four billion, seven hundred thirty-nine million, eight hundred twenty thousand, three hundred ninety-one".

Divisors: 1 3 7 9 21 27 31 63 67 81 93 189 201 217 279 469 567 603 651 837 1407 1809 1953 2077 2511 4221 5427 5859 6231 12663 14539 17577 18693 37989 43617 56079 130851 168237 392553 1177659 2058949 6176847 14412643 18530541 43237929 55591623 63827419 129713787 137949583 166774869 191482257 389141361 413848749 446791933 574446771 965647081 1167424083 1241546247 1340375799 1723340313 2896941243 3724638741 4021127397 4276437073 5170020939 8690823729 11173916223 12063382191 12829311219 26072471187 29935059511 36190146573 38487933657 78217413561 89805178533 115463800971 269415535599 346391402913 808246606797 2424739820391