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5421696765408 = 253471183327289
BaseRepresentation
bin100111011100101011001…
…0011110100110111100000
3201012022100100222101020000
41032321112103310313200
51202312113332443113
615310405413420000
71066463462061030
oct116712623646740
921168310871200
105421696765408
111800368531940
1273691733a600
13304357793421
1414a5a93138c0
159606dceb373
hex4ee564f4de0

5421696765408 has 480 divisors, whose sum is σ = 20119128986880. Its totient is φ = 1391262013440.

The previous prime is 5421696765391. The next prime is 5421696765437. The reversal of 5421696765408 is 8045676961245.

5421696765408 is a `hidden beast` number, since 5 + 4 + 2 + 16 + 9 + 6 + 76 + 540 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16401828 + ... + 16729116.

It is an arithmetic number, because the mean of its divisors is an integer number (41914852056).

Almost surely, 25421696765408 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 5421696765408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10059564493440).

5421696765408 is an abundant number, since it is smaller than the sum of its proper divisors (14697432221472).

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

5421696765408 is a wasteful number, since it uses less digits than its factorization.

5421696765408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327412 (or 327395 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 5421696765408 in words is "five trillion, four hundred twenty-one billion, six hundred ninety-six million, seven hundred sixty-five thousand, four hundred eight".