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540054562336 = 25411496194463
BaseRepresentation
bin1111101101111011100…
…00101010011000100000
31220121222022221022012021
413312331300222120200
532322012431443321
61052033031311224
754006025016122
oct7667560523040
91817868838167
10540054562336
111990437a2a83
12887bb21b514
133bc085c5233
141c1d2b55212
15e0ac2e6941
hex7dbdc2a620

540054562336 has 96 divisors (see below), whose sum is σ = 1098492192000. Its totient is φ = 261191915520.

The previous prime is 540054562297. The next prime is 540054562367. The reversal of 540054562336 is 633265450045.

It is a junction number, because it is equal to n+sod(n) for n = 540054562292 and 540054562301.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121004841 + ... + 121009303.

It is an arithmetic number, because the mean of its divisors is an integer number (11442627000).

Almost surely, 2540054562336 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 540054562336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549246096000).

540054562336 is an abundant number, since it is smaller than the sum of its proper divisors (558437629664).

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

540054562336 is a wasteful number, since it uses less digits than its factorization.

540054562336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5282 (or 5274 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 43.

The spelling of 540054562336 in words is "five hundred forty billion, fifty-four million, five hundred sixty-two thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 32 41 82 149 164 298 328 596 619 656 1192 1238 1312 2384 2476 4463 4768 4952 6109 8926 9904 12218 17852 19808 24436 25379 35704 48872 50758 71408 92231 97744 101516 142816 182983 184462 195488 203032 365966 368924 406064 664987 731932 737848 812128 1329974 1463864 1475696 2659948 2762597 2927728 2951392 3781471 5319896 5525194 5855456 7562942 10639792 11050388 15125884 21279584 22100776 27264467 30251768 44201552 54528934 60503536 88403104 109057868 113266477 121007072 218115736 226532954 411626953 436231472 453065908 823253906 872462944 906131816 1646507812 1812263632 3293015624 3624527264 6586031248 13172062496 16876705073 33753410146 67506820292 135013640584 270027281168 540054562336