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5457771456 = 26334781919
BaseRepresentation
bin1010001010100111…
…01111101111000000
3112002100202111221120
411011103233233000
542134142141311
62301322552240
7252151202064
oct50523575700
915070674846
105457771456
112350851525
121083968680
1368c949987
1439abc3aa4
1521e22c706
hex1454efbc0

5457771456 has 56 divisors (see below), whose sum is σ = 14482145280. Its totient is φ = 1813992192.

The previous prime is 5457771437. The next prime is 5457771479. The reversal of 5457771456 is 6541777545.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 5457771399 and 5457771408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25665 + ... + 107583.

Almost surely, 25457771456 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 5457771456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7241072640).

5457771456 is an abundant number, since it is smaller than the sum of its proper divisors (9024373824).

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

5457771456 is a wasteful number, since it uses less digits than its factorization.

5457771456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82281 (or 82271 counting only the distinct ones).

The product of its digits is 4116000, while the sum is 51.

The square root of 5457771456 is about 73876.7314923989. The cubic root of 5457771456 is about 1760.6449358166.

The spelling of 5457771456 in words is "five billion, four hundred fifty-seven million, seven hundred seventy-one thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 347 694 1041 1388 2082 2776 4164 5552 8328 11104 16656 22208 33312 66624 81919 163838 245757 327676 491514 655352 983028 1310704 1966056 2621408 3932112 5242816 7864224 15728448 28425893 56851786 85277679 113703572 170555358 227407144 341110716 454814288 682221432 909628576 1364442864 1819257152 2728885728 5457771456