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564434459380 = 2251129197449083
BaseRepresentation
bin10000011011010101110…
…10100101101011110100
31222221220102000101200001
420031222322211223310
533221430210200010
61111144141201044
755531132513141
oct10155272455364
91887812011601
10564434459380
111a84145a0520
1291483b60184
13412c251490c
141d466a013c8
15ea37829c3a
hex836aea5af4

564434459380 has 96 divisors (see below), whose sum is σ = 1344449715840. Its totient is φ = 197164961280.

The previous prime is 564434459353. The next prime is 564434459383. The reversal of 564434459380 is 83954434465.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564434459383) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1032319 + ... + 1481401.

It is an arithmetic number, because the mean of its divisors is an integer number (14004684540).

Almost surely, 2564434459380 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 564434459380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672224857920).

564434459380 is an abundant number, since it is smaller than the sum of its proper divisors (780015256460).

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

564434459380 is a wasteful number, since it uses less digits than its factorization.

564434459380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449329 (or 449327 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 55.

The spelling of 564434459380 in words is "five hundred sixty-four billion, four hundred thirty-four million, four hundred fifty-nine thousand, three hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 197 220 290 319 394 580 638 788 985 1276 1595 1970 2167 3190 3940 4334 5713 6380 8668 10835 11426 21670 22852 28565 43340 57130 62843 114260 125686 251372 314215 449083 628430 898166 1256860 1796332 2245415 4490830 4939913 8981660 9879826 13023407 19759652 24699565 26046814 49399130 52093628 65117035 88469351 98798260 130234070 143257477 176938702 260468140 286514954 353877404 442346755 573029908 716287385 884693510 973162861 1432574770 1769387020 1946325722 2565611179 2865149540 3892651444 4865814305 5131222358 9731628610 10262444716 12828055895 19463257220 25656111790 28221722969 51312223580 56443445938 112886891876 141108614845 282217229690 564434459380