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20023000032 = 2537109273359
BaseRepresentation
bin10010101001011101…
…101011101111100000
31220200102210210100210
4102221131223233200
5312001342000112
613110510214120
71306121456250
oct225135535740
956612723323
1020023000032
118545509312
123a697b4340
131b7139b719
14d7d391960
157c2cb0b3c
hex4a976bbe0

20023000032 has 96 divisors (see below), whose sum is σ = 60620313600. Its totient is φ = 5668351488.

The previous prime is 20023000007. The next prime is 20023000069. The reversal of 20023000032 is 23000032002.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 20022999981 and 20023000017.

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 15 ways as a sum of consecutive naturals, for example, 63432 + ... + 209927.

It is an arithmetic number, because the mean of its divisors is an integer number (631461600).

Almost surely, 220023000032 is an apocalyptic number.

It is an amenable number.

20023000032 is an abundant number, since it is smaller than the sum of its proper divisors (40597313568).

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

20023000032 is a wasteful number, since it uses less digits than its factorization.

20023000032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273488 (or 273480 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

Adding to 20023000032 its reverse (23000032002), we get a palindrome (43023032034).

The spelling of 20023000032 in words is "twenty billion, twenty-three million, thirty-two", and thus it is an aban number and an uban number.

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 109 112 168 218 224 327 336 436 654 672 763 872 1308 1526 1744 2289 2616 3052 3488 4578 5232 6104 9156 10464 12208 18312 24416 36624 73248 273359 546718 820077 1093436 1640154 1913513 2186872 3280308 3827026 4373744 5740539 6560616 7654052 8747488 11481078 13121232 15308104 22962156 26242464 29796131 30616208 45924312 59592262 61232416 89388393 91848624 119184524 178776786 183697248 208572917 238369048 357553572 417145834 476738096 625718751 715107144 834291668 953476192 1251437502 1430214288 1668583336 2502875004 2860428576 3337166672 5005750008 6674333344 10011500016 20023000032