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540352344416 = 25234391672379
BaseRepresentation
bin1111101110011111000…
…00100111000101100000
31220122202002021012102012
413313033200213011200
532323120200010131
61052122350012052
754016302100343
oct7671740470540
91818662235365
10540352344416
111991868a2075
1288882aa7028
133bc551c7651
141c22050c45a
15e0c851852b
hex7dcf827160

540352344416 has 48 divisors (see below), whose sum is σ = 1112600966400. Its totient is φ = 257840550528.

The previous prime is 540352344407. The next prime is 540352344443. The reversal of 540352344416 is 614443253045.

It is a super-2 number, since 2×5403523444162 (a number of 24 digits) contains 22 as substring.

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, 513086 + ... + 1159293.

It is an arithmetic number, because the mean of its divisors is an integer number (23179186800).

Almost surely, 2540352344416 is an apocalyptic number.

It is an amenable number.

540352344416 is an abundant number, since it is smaller than the sum of its proper divisors (572248621984).

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

540352344416 is a wasteful number, since it uses less digits than its factorization.

540352344416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1672851 (or 1672843 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 41.

The spelling of 540352344416 in words is "five hundred forty billion, three hundred fifty-two million, three hundred forty-four thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 23 32 46 92 184 368 439 736 878 1756 3512 7024 10097 14048 20194 40388 80776 161552 323104 1672379 3344758 6689516 13379032 26758064 38464717 53516128 76929434 153858868 307717736 615435472 734174381 1230870944 1468348762 2936697524 5873395048 11746790096 16886010763 23493580192 33772021526 67544043052 135088086104 270176172208 540352344416