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540065432480 = 255722337611327
BaseRepresentation
bin1111101101111100110…
…10001000001110100000
31220122000002101120020012
413312332122020032200
532322023222314410
61052034100304052
754006216301400
oct7667632101640
91818002346205
10540065432480
11199049947972
12888029a2028
133bc0a92cb82
141c1d4384800
15e0ad242605
hex7dbe6883a0

540065432480 has 576 divisors, whose sum is σ = 1617898447872. Its totient is φ = 169374965760.

The previous prime is 540065432471. The next prime is 540065432483. The reversal of 540065432480 is 84234560045.

It is not an unprimeable number, because it can be changed into a prime (540065432483) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 406981577 + ... + 406982903.

It is an arithmetic number, because the mean of its divisors is an integer number (2808851472).

Almost surely, 2540065432480 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 540065432480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808949223936).

540065432480 is an abundant number, since it is smaller than the sum of its proper divisors (1077833015392).

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

540065432480 is a wasteful number, since it uses less digits than its factorization.

540065432480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1477 (or 1462 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 41.

The spelling of 540065432480 in words is "five hundred forty billion, sixty-five million, four hundred thirty-two thousand, four hundred eighty".