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2180749213696 = 2148321392
BaseRepresentation
bin11111101110111110110…
…010000100000000000000
321201110220011101021012011
4133232332302010000000
5241212133244314241
64345453343542304
7313360666320454
oct37567662040000
97643804337164
102180749213696
1177093a096339
122b27885ba994
1312a84a489521
1477797d94664
153bad637a281
hex1fbbec84000

2180749213696 has 135 divisors (see below), whose sum is σ = 4446532787151. Its totient is φ = 1069487652864.

The previous prime is 2180749213693. The next prime is 2180749213697. The reversal of 2180749213696 is 6963129470812.

The square root of 2180749213696 is 1476736.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2180749213696.

It is not an unprimeable number, because it can be changed into a prime (2180749213693) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 15688843195 + ... + 15688843333.

Almost surely, 22180749213696 is an apocalyptic number.

2180749213696 is the 1476736-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2180749213696

2180749213696 is an abundant number, since it is smaller than the sum of its proper divisors (2265783573455).

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

2180749213696 is an frugal number, since it uses more digits than its factorization.

2180749213696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 58.

The spelling of 2180749213696 in words is "two trillion, one hundred eighty billion, seven hundred forty-nine million, two hundred thirteen thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 83 128 139 166 256 278 332 512 556 664 1024 1112 1328 2048 2224 2656 4096 4448 5312 6889 8192 8896 10624 11537 13778 16384 17792 19321 21248 23074 27556 35584 38642 42496 46148 55112 71168 77284 84992 92296 110224 142336 154568 169984 184592 220448 284672 309136 339968 369184 440896 569344 618272 679936 738368 881792 957571 1138688 1236544 1359872 1476736 1603643 1763584 1915142 2277376 2473088 2953472 3207286 3527168 3830284 4946176 5906944 6414572 7054336 7660568 9892352 11813888 12829144 14108672 15321136 19784704 23627776 25658288 28217344 30642272 39569408 47255552 51316576 56434688 61284544 79138816 94511104 102633152 112869376 122569088 133102369 158277632 189022208 205266304 245138176 266204738 316555264 410532608 490276352 532409476 821065216 980552704 1064818952 1642130432 1961105408 2129637904 3284260864 3922210816 4259275808 6568521728 7844421632 8518551616 13137043456 15688843264 17037103232 26274086912 34074206464 68148412928 136296825856 272593651712 545187303424 1090374606848 2180749213696