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20293073424 = 24331319190181
BaseRepresentation
bin10010111001100011…
…111011101000010000
31221101020222221102000
4102321203323220100
5313030011322144
613153354554000
71315611164241
oct227143735020
957336887360
1020293073424
118673a02468
123b24138900
131bb531ba70
14da71b4cc8
157db85c769
hex4b98fba10

20293073424 has 160 divisors (see below), whose sum is σ = 66031190400. Its totient is φ = 5915358720.

The previous prime is 20293073363. The next prime is 20293073447. The reversal of 20293073424 is 42437039202.

It is a happy number.

20293073424 is a `hidden beast` number, since 2 + 0 + 2 + 9 + 307 + 342 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11614 + ... + 201794.

It is an arithmetic number, because the mean of its divisors is an integer number (412694940).

Almost surely, 220293073424 is an apocalyptic number.

20293073424 is a gapful number since it is divisible by the number (24) 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 20293073424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33015595200).

20293073424 is an abundant number, since it is smaller than the sum of its proper divisors (45738116976).

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

20293073424 is a wasteful number, since it uses less digits than its factorization.

20293073424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190230 (or 190218 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 20293073424 in words is "twenty billion, two hundred ninety-three million, seventy-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 19 24 26 27 36 38 39 48 52 54 57 72 76 78 104 108 114 117 144 152 156 171 208 216 228 234 247 304 312 342 351 432 456 468 494 513 624 684 702 741 912 936 988 1026 1368 1404 1482 1872 1976 2052 2223 2736 2808 2964 3952 4104 4446 5616 5928 6669 8208 8892 11856 13338 17784 26676 35568 53352 106704 190181 380362 570543 760724 1141086 1521448 1711629 2282172 2472353 3042896 3423258 3613439 4564344 4944706 5134887 6846516 7226878 7417059 9128688 9889412 10269774 10840317 13693032 14453756 14834118 19778824 20539548 21680634 22251177 27386064 28907512 29668236 32520951 39557648 41079096 43361268 44502354 46974707 57815024 59336472 65041902 66753531 82158192 86722536 89004708 93949414 97562853 118672944 130083804 133507062 140924121 173445072 178009416 187898828 195125706 260167608 267014124 281848242 356018832 375797656 390251412 422772363 520335216 534028248 563696484 751595312 780502824 845544726 1068056496 1127392968 1268317089 1561005648 1691089452 2254785936 2536634178 3382178904 5073268356 6764357808 10146536712 20293073424