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2380859939424 = 2531712101120557
BaseRepresentation
bin100010101001010110010…
…011111001101001100000
322102121102020000101211110
4202221112103321221200
5303002000121030144
65021430231143320
7334003633401141
oct42512623715140
98377366011743
102380859939424
118387984043aa
12325515214b40
1314368b706185
148333ca59ac8
1541de93c20b9
hex22a564f9a60

2380859939424 has 96 divisors (see below), whose sum is σ = 6617991866976. Its totient is φ = 746868531200.

The previous prime is 2380859939411. The next prime is 2380859939527. The reversal of 2380859939424 is 4249399580832.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 19688554 + ... + 19809110.

It is an arithmetic number, because the mean of its divisors is an integer number (68937415281).

Almost surely, 22380859939424 is an apocalyptic number.

2380859939424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2380859939424 is an abundant number, since it is smaller than the sum of its proper divisors (4237131927552).

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

2380859939424 is a wasteful number, since it uses less digits than its factorization.

2380859939424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132688 (or 132680 counting only the distinct ones).

The product of its (nonzero) digits is 134369280, while the sum is 66.

The spelling of 2380859939424 in words is "two trillion, three hundred eighty billion, eight hundred fifty-nine million, nine hundred thirty-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 12101 24202 36303 48404 72606 96808 120557 145212 193616 205717 241114 290424 361671 387232 411434 482228 580848 617151 723342 822868 964456 1161696 1234302 1446684 1645736 1928912 2049469 2468604 2893368 3291472 3857824 4098938 4937208 5786736 6148407 6582944 8197876 9874416 11573472 12296814 16395752 19748832 24593628 32791504 49187256 65583008 98374512 196749024 1458860257 2917720514 4376580771 5835441028 8753161542 11670882056 17506323084 23341764112 24800624369 35012646168 46683528224 49601248738 70025292336 74401873107 99202497476 140050584672 148803746214 198404994952 297607492428 396809989904 595214984856 793619979808 1190429969712 2380859939424