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540348002048 = 286152366161
BaseRepresentation
bin1111101110011110100…
…00000010111100000000
31220122201210002120210202
413313033100002330000
532323113042031143
61052122112544332
754016220143361
oct7671720027400
91818653076722
10540348002048
111991843a6638
12888815520a8
133bc54336cba
141c21dadbb68
15e0c7e5bab8
hex7dcf402f00

540348002048 has 72 divisors (see below), whose sum is σ = 1098379709616. Its totient is φ = 265232793600.

The previous prime is 540348002027. The next prime is 540348002107. The reversal of 540348002048 is 840200843045.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8134088 + ... + 8200248.

Almost surely, 2540348002048 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 540348002048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549189854808).

540348002048 is an abundant number, since it is smaller than the sum of its proper divisors (558031707568).

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

540348002048 is an equidigital number, since it uses as much as digits as its factorization.

540348002048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66761 (or 66747 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 38.

The spelling of 540348002048 in words is "five hundred forty billion, three hundred forty-eight million, two thousand, forty-eight".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 256 488 523 976 1046 1952 2092 3904 4184 7808 8368 15616 16736 31903 33472 63806 66161 66944 127612 132322 133888 255224 264644 510448 529288 1020896 1058576 2041792 2117152 4035821 4083584 4234304 8071642 8167168 8468608 16143284 16937216 32286568 34602203 64573136 69204406 129146272 138408812 258292544 276817624 516585088 553635248 1033170176 1107270496 2110734383 2214540992 4221468766 4429081984 8442937532 8858163968 16885875064 33771750128 67543500256 135087000512 270174001024 540348002048