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20462144388 = 22375310344623
BaseRepresentation
bin10011000011101000…
…111000101110000100
31221211001010122011120
4103003220320232010
5313401302110023
613222234433540
71323033233430
oct230350705604
957731118146
1020462144388
11875038aa34
123b708928b0
131c1136725a
14dc18259c0
157eb6078e3
hex4c3a38b84

20462144388 has 96 divisors (see below), whose sum is σ = 56136278016. Its totient is φ = 5680202112.

The previous prime is 20462144387. The next prime is 20462144393. The reversal of 20462144388 is 88344126402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (20462144383) 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, 436245 + ... + 480867.

It is an arithmetic number, because the mean of its divisors is an integer number (584752896).

Almost surely, 220462144388 is an apocalyptic number.

20462144388 is a gapful number since it is divisible by the number (28) 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 20462144388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28068139008).

20462144388 is an abundant number, since it is smaller than the sum of its proper divisors (35674133628).

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

20462144388 is a wasteful number, since it uses less digits than its factorization.

20462144388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44793 (or 44791 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 42.

The spelling of 20462144388 in words is "twenty billion, four hundred sixty-two million, one hundred forty-four thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 53 84 103 106 159 206 212 309 318 371 412 618 636 721 742 1113 1236 1442 1484 2163 2226 2884 4326 4452 5459 8652 10918 16377 21836 32754 38213 44623 65508 76426 89246 114639 133869 152852 178492 229278 267738 312361 458556 535476 624722 937083 1249444 1874166 2365019 3748332 4596169 4730038 7095057 9192338 9460076 13788507 14190114 16555133 18384676 27577014 28380228 32173183 33110266 49665399 55154028 64346366 66220532 96519549 99330798 128692732 193039098 198661596 243596957 386078196 487193914 730790871 974387828 1461581742 1705178699 2923163484 3410357398 5115536097 6820714796 10231072194 20462144388