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2542823822912 = 261779109327067
BaseRepresentation
bin100101000000001100000…
…111000101011001000000
3100000002110202122011111212
4211000030013011121000
5313130200344313122
65224053535225252
7351466354604162
oct45001407053100
910002422564455
102542823822912
118a045083626a
12350996678228
13155a307b3119
148b105306932
154622848ace2
hex2500c1c5640

2542823822912 has 112 divisors (see below), whose sum is σ = 5415514248960. Its totient is φ = 1180351291392.

The previous prime is 2542823822897. The next prime is 2542823822971. The reversal of 2542823822912 is 2192283282452.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93932003 + ... + 93959069.

Almost surely, 22542823822912 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 2542823822912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2707757124480).

2542823822912 is an abundant number, since it is smaller than the sum of its proper divisors (2872690426048).

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

2542823822912 is a wasteful number, since it uses less digits than its factorization.

2542823822912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28268 (or 28258 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 50.

The spelling of 2542823822912 in words is "two trillion, five hundred forty-two billion, eight hundred twenty-three million, eight hundred twenty-two thousand, nine hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 64 68 79 136 158 272 316 544 632 1088 1093 1264 1343 2186 2528 2686 4372 5056 5372 8744 10744 17488 18581 21488 27067 34976 37162 42976 54134 69952 74324 85952 86347 108268 148648 172694 216536 297296 345388 433072 460139 594592 690776 866144 920278 1189184 1381552 1467899 1732288 1840556 2138293 2763104 2935798 3681112 4276586 5526208 5871596 7362224 8553172 11743192 14724448 17106344 23486384 29448896 29584231 34212688 36350981 46972768 59168462 68425376 72701962 93945536 118336924 136850752 145403924 236673848 290807848 473347696 502931927 581615696 946695392 1005863854 1163231392 1893390784 2011727708 2326462784 2337154249 4023455416 4674308498 8046910832 9348616996 16093821664 18697233992 32187643328 37394467984 39731622233 74788935968 79463244466 149577871936 158926488932 317852977864 635705955728 1271411911456 2542823822912