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5669293440 = 27356744071
BaseRepresentation
bin1010100011110101…
…01000110110000000
3112122002202221120010
411101322220312000
543102314342230
62334320344520
7260330125206
oct52172506600
915562687503
105669293440
11244a194088
121122775140
136c4709505
143bad25076
15232ab09b0
hex151ea8d80

5669293440 has 128 divisors (see below), whose sum is σ = 18341003520. Its totient is φ = 1489213440.

The previous prime is 5669293429. The next prime is 5669293451. The reversal of 5669293440 is 443929665.

It is an interprime number because it is at equal distance from previous prime (5669293429) and next prime (5669293451).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×56692934403 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5669293440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106605 + ... + 150675.

It is an arithmetic number, because the mean of its divisors is an integer number (143289090).

Almost surely, 25669293440 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 5669293440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9170501760).

5669293440 is an abundant number, since it is smaller than the sum of its proper divisors (12671710080).

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

5669293440 is a wasteful number, since it uses less digits than its factorization.

5669293440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44160 (or 44148 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 48.

The square root of 5669293440 is about 75294.7105711948. The cubic root of 5669293440 is about 1783.1025133077.

The spelling of 5669293440 in words is "five billion, six hundred sixty-nine million, two hundred ninety-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 67 80 96 120 128 134 160 192 201 240 268 320 335 384 402 480 536 640 670 804 960 1005 1072 1340 1608 1920 2010 2144 2680 3216 4020 4288 5360 6432 8040 8576 10720 12864 16080 21440 25728 32160 42880 44071 64320 88142 128640 132213 176284 220355 264426 352568 440710 528852 661065 705136 881420 1057704 1322130 1410272 1762840 2115408 2644260 2820544 2952757 3525680 4230816 5288520 5641088 5905514 7051360 8461632 8858271 10577040 11811028 14102720 14763785 16923264 17716542 21154080 23622056 28205440 29527570 35433084 42308160 44291355 47244112 59055140 70866168 84616320 88582710 94488224 118110280 141732336 177165420 188976448 236220560 283464672 354330840 377952896 472441120 566929344 708661680 944882240 1133858688 1417323360 1889764480 2834646720 5669293440