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6457275440 = 2457111676277
BaseRepresentation
bin1100000001110001…
…00011010000110000
3121200000111120122122
412000320203100300
5101211030303230
62544425453412
7316005635630
oct60070432060
917600446578
106457275440
112813a66680
121302641268
137bba42155
144538426c0
1527bd61be5
hex180e23430

6457275440 has 160 divisors (see below), whose sum is σ = 18832794624. Its totient is φ = 2000286720.

The previous prime is 6457275437. The next prime is 6457275469. The reversal of 6457275440 is 445727546.

It is a happy number.

It is a super-2 number, since 2×64572754402 = 83392812216054387200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 6457275391 and 6457275400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1025582 + ... + 1031858.

Almost surely, 26457275440 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 6457275440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9416397312).

6457275440 is an abundant number, since it is smaller than the sum of its proper divisors (12375519184).

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

6457275440 is a wasteful number, since it uses less digits than its factorization.

6457275440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6475 (or 6469 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 44.

The square root of 6457275440 is about 80357.1741663431. The cubic root of 6457275440 is about 1862.1576148852.

The spelling of 6457275440 in words is "six billion, four hundred fifty-seven million, two hundred seventy-five thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 167 176 220 280 308 334 385 440 560 616 668 770 835 880 1169 1232 1336 1540 1670 1837 2338 2672 3080 3340 3674 4676 5845 6160 6277 6680 7348 9185 9352 11690 12554 12859 13360 14696 18370 18704 23380 25108 25718 29392 31385 36740 43939 46760 50216 51436 62770 64295 69047 73480 87878 93520 100432 102872 125540 128590 138094 146960 175756 205744 219695 251080 257180 276188 345235 351512 439390 483329 502160 514360 552376 690470 703024 878780 966658 1028720 1048259 1104752 1380940 1757560 1933316 2096518 2416645 2761880 3515120 3866632 4193036 4833290 5241295 5523760 7337813 7733264 8386072 9666580 10482590 11530849 14675626 16772144 19333160 20965180 23061698 29351252 36689065 38666320 41930360 46123396 57654245 58702504 73378130 80715943 83860720 92246792 115308490 117405008 146756260 161431886 184493584 230616980 293512520 322863772 403579715 461233960 587025040 645727544 807159430 922467920 1291455088 1614318860 3228637720 6457275440