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5673317440 = 26573181701
BaseRepresentation
bin1010100100010011…
…11111010001000000
3112122101100101110011
411102021333101000
543104332124230
62334542514304
7260406255040
oct52211772100
915571311404
105673317440
1124514923aa
121123b95994
136c54b7c8b
143bb691720
15233107e2a
hex15227f440

5673317440 has 112 divisors (see below), whose sum is σ = 15937772544. Its totient is φ = 1882368000.

The previous prime is 5673317413. The next prime is 5673317449. The reversal of 5673317440 is 447133765.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 5673317393 and 5673317402.

It is not an unprimeable number, because it can be changed into a prime (5673317449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28590 + ... + 110290.

Almost surely, 25673317440 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 5673317440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7968886272).

5673317440 is an abundant number, since it is smaller than the sum of its proper divisors (10264455104).

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

5673317440 is a wasteful number, since it uses less digits than its factorization.

5673317440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81756 (or 81746 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 40.

The square root of 5673317440 is about 75321.4274957664. The cubic root of 5673317440 is about 1783.5242888271.

The spelling of 5673317440 in words is "five billion, six hundred seventy-three million, three hundred seventeen thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 32 35 40 56 62 64 70 80 112 124 140 155 160 217 224 248 280 310 320 434 448 496 560 620 868 992 1085 1120 1240 1736 1984 2170 2240 2480 3472 4340 4960 6944 8680 9920 13888 17360 34720 69440 81701 163402 326804 408505 571907 653608 817010 1143814 1307216 1634020 2287628 2532731 2614432 2859535 3268040 4575256 5065462 5228864 5719070 6536080 9150512 10130924 11438140 12663655 13072160 17729117 18301024 20261848 22876280 25327310 26144320 35458234 36602048 40523696 45752560 50654620 70916468 81047392 88645585 91505120 101309240 141832936 162094784 177291170 183010240 202618480 283665872 354582340 405236960 567331744 709164680 810473920 1134663488 1418329360 2836658720 5673317440