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5741349984 = 253419111597
BaseRepresentation
bin1010101100011011…
…00000110001100000
3112211010100210120000
411112031200301200
543224241144414
62345413020000
7262163445456
oct52615406140
915733323500
105741349984
11248692a247
121142924600
13706618116
143c67209d6
15239095b09
hex156360c60

5741349984 has 120 divisors (see below), whose sum is σ = 16975018368. Its totient is φ = 1903599360.

The previous prime is 5741349967. The next prime is 5741350019. The reversal of 5741349984 is 4899431475.

5741349984 is a `hidden beast` number, since 5 + 74 + 1 + 3 + 499 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 5741349984.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 489274 + ... + 500870.

Almost surely, 25741349984 is an apocalyptic number.

5741349984 is a gapful number since it is divisible by the number (54) 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 5741349984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8487509184).

5741349984 is an abundant number, since it is smaller than the sum of its proper divisors (11233668384).

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

5741349984 is a wasteful number, since it uses less digits than its factorization.

5741349984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11810 (or 11793 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 5741349984 is about 75771.6964571864. The cubic root of 5741349984 is about 1790.6251246073.

The spelling of 5741349984 in words is "five billion, seven hundred forty-one million, three hundred forty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 191 216 288 324 382 432 573 648 764 864 1146 1296 1528 1719 2292 2592 3056 3438 4584 5157 6112 6876 9168 10314 11597 13752 15471 18336 20628 23194 27504 30942 34791 41256 46388 55008 61884 69582 82512 92776 104373 123768 139164 165024 185552 208746 247536 278328 313119 371104 417492 495072 556656 626238 834984 939357 1113312 1252476 1669968 1878714 2215027 2504952 3339936 3757428 4430054 5009904 6645081 7514856 8860108 10019808 13290162 15029712 17720216 19935243 26580324 30059424 35440432 39870486 53160648 59805729 70880864 79740972 106321296 119611458 159481944 179417187 212642592 239222916 318963888 358834374 478445832 637927776 717668748 956891664 1435337496 1913783328 2870674992 5741349984