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41996509830 = 23451123204931
BaseRepresentation
bin100111000111001011…
…111110001010000110
311000101210211202010000
4213013023332022012
51142002101303310
631143134542130
73014466305112
oct470713761206
9130353752100
1041996509830
11168a0a31470
128180667946
133c638a7122
1420657d8742
15115be0a4c0
hex9c72fe286

41996509830 has 160 divisors (see below), whose sum is σ = 128546466048. Its totient is φ = 9738273600.

The previous prime is 41996509823. The next prime is 41996509909. The reversal of 41996509830 is 3890569914.

41996509830 is a `hidden beast` number, since 4 + 19 + 96 + 509 + 8 + 30 = 666.

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

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 79 ways as a sum of consecutive naturals, for example, 102465 + ... + 307395.

Almost surely, 241996509830 is an apocalyptic number.

It is a pronic number, being equal to 204930×204931.

It is a practical number, because each smaller number is the sum of distinct divisors of 41996509830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64273233024).

41996509830 is an abundant number, since it is smaller than the sum of its proper divisors (86549956218).

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

41996509830 is a wasteful number, since it uses less digits than its factorization.

41996509830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204984 (or 204975 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 41996509830 in words is "forty-one billion, nine hundred ninety-six million, five hundred nine thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 23 27 30 33 45 46 54 55 66 69 81 90 99 110 115 135 138 162 165 198 207 230 253 270 297 330 345 405 414 495 506 594 621 690 759 810 891 990 1035 1242 1265 1485 1518 1782 1863 2070 2277 2530 2970 3105 3726 3795 4455 4554 6210 6831 7590 8910 9315 11385 13662 18630 20493 22770 34155 40986 68310 102465 204930 204931 409862 614793 1024655 1229586 1844379 2049310 2254241 3073965 3688758 4508482 4713413 5533137 6147930 6762723 9221895 9426826 11066274 11271205 13525446 14140239 16599411 18443790 20288169 22542410 23567065 27665685 28280478 33198822 33813615 40576338 42420717 47134130 51847543 55331370 60864507 67627230 70701195 82997055 84841434 101440845 103695086 121729014 127262151 141402390 155542629 165994110 182593521 202881690 212103585 254524302 259237715 304322535 311085258 365187042 381786453 424207170 466627887 518475430 608645070 636310755 763572906 777713145 912967605 933255774 1272621510 1399883661 1555426290 1825935210 1908932265 2333139435 2799767322 3817864530 4199650983 4666278870 6999418305 8399301966 13998836610 20998254915 41996509830