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5375406765456 = 24327132171856159
BaseRepresentation
bin100111000111000111100…
…1101011111010110010000
3201000212212100011201220100
41032032033031133112100
51201032313112443311
615233232222212400
71063234406421660
oct116161715372620
921025770151810
105375406765456
111792773a89832
12729958a24100
132ccb8b538c00
141482576081a0
1594c5eee5a56
hex4e38f35f590

5375406765456 has 360 divisors, whose sum is σ = 19712151912960. Its totient is φ = 1334295465984.

The previous prime is 5375406765433. The next prime is 5375406765479. The reversal of 5375406765456 is 6545676045735.

5375406765456 is a `hidden beast` number, since 5 + 3 + 75 + 40 + 6 + 76 + 5 + 456 = 666.

It is an interprime number because it is at equal distance from previous prime (5375406765433) and next prime (5375406765479).

It is a super-2 number, since 2×53754067654562 (a number of 26 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 5375406765393 and 5375406765402.

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 71 ways as a sum of consecutive naturals, for example, 1967905 + ... + 3824063.

It is an arithmetic number, because the mean of its divisors is an integer number (54755977536).

Almost surely, 25375406765456 is an apocalyptic number.

5375406765456 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5375406765456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9856075956480).

5375406765456 is an abundant number, since it is smaller than the sum of its proper divisors (14336745147504).

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

5375406765456 is a wasteful number, since it uses less digits than its factorization.

5375406765456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1856223 (or 1856201 counting only the distinct ones).

The product of its (nonzero) digits is 317520000, while the sum is 63.

The spelling of 5375406765456 in words is "five trillion, three hundred seventy-five billion, four hundred six million, seven hundred sixty-five thousand, four hundred fifty-six".