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5754166392 = 233131710710139
BaseRepresentation
bin1010101101111100…
…11001110001111000
3112212000110221100210
411112332121301320
543241031311032
62350551431120
7262410415212
oct52676316170
915760427323
105754166392
112493093417
1211470854a0
137091848b0
143c82d95b2
1523a2782cc
hex156f99c78

5754166392 has 128 divisors (see below), whose sum is σ = 16558214400. Its totient is φ = 1650628608.

The previous prime is 5754166351. The next prime is 5754166423. The reversal of 5754166392 is 2936614575.

It is a super-2 number, since 2×57541663922 = 66220861733644595328, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 562459 + ... + 572597.

It is an arithmetic number, because the mean of its divisors is an integer number (129361050).

Almost surely, 25754166392 is an apocalyptic number.

5754166392 is a gapful number since it is divisible by the number (52) 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 5754166392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8279107200).

5754166392 is an abundant number, since it is smaller than the sum of its proper divisors (10804048008).

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

5754166392 is a wasteful number, since it uses less digits than its factorization.

5754166392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10285 (or 10281 counting only the distinct ones).

The product of its digits is 1360800, while the sum is 48.

The square root of 5754166392 is about 75856.2218410593. The cubic root of 5754166392 is about 1791.9565377626.

The spelling of 5754166392 in words is "five billion, seven hundred fifty-four million, one hundred sixty-six thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 68 78 102 104 107 136 156 204 214 221 312 321 408 428 442 642 663 856 884 1284 1326 1391 1768 1819 2568 2652 2782 3638 4173 5304 5457 5564 7276 8346 10139 10914 11128 14552 16692 20278 21828 23647 30417 33384 40556 43656 47294 60834 70941 81112 94588 121668 131807 141882 172363 189176 243336 263614 283764 344726 395421 517089 527228 567528 689452 790842 1034178 1054456 1084873 1378904 1581684 2068356 2169746 2240719 3163368 3254619 4136712 4339492 4481438 6509238 6722157 8678984 8962876 13018476 13444314 14103349 17925752 18442841 26036952 26888628 28206698 36885682 42310047 53777256 55328523 56413396 73771364 84620094 110657046 112826792 147542728 169240188 221314092 239756933 338480376 442628184 479513866 719270799 959027732 1438541598 1918055464 2877083196 5754166392