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20032113543264 = 2535173524353
BaseRepresentation
bin1001000111000000101110…
…00000110000100001100000
32121221001101102202112100000
410203200113000300201200
510111201232031341024
6110334343110500000
74135162306442304
oct443402700604140
977831342675300
1020032113543264
11642363194a439
1222b6436364600
13b240354c9244
144d37b9279d04
1524b1342eecc9
hex123817030860

20032113543264 has 288 divisors, whose sum is σ = 62767816544160. Its totient is φ = 6284572655616.

The previous prime is 20032113543187. The next prime is 20032113543293. The reversal of 20032113543264 is 46234531123002.

20032113543264 is a `hidden beast` number, since 2 + 0 + 0 + 3 + 211 + 3 + 5 + 432 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-4 number, since 4×200321135432644 (a number of 54 digits) contains 4444 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37941312 + ... + 38465664.

It is an arithmetic number, because the mean of its divisors is an integer number (217943807445).

Almost surely, 220032113543264 is an apocalyptic number.

20032113543264 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 20032113543264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31383908272080).

20032113543264 is an abundant number, since it is smaller than the sum of its proper divisors (42735703000896).

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

20032113543264 is an frugal number, since it uses more digits than its factorization.

20032113543264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524429 (or 524375 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 20032113543264 its reverse (46234531123002), we get a palindrome (66266644666266).

The spelling of 20032113543264 in words is "twenty trillion, thirty-two billion, one hundred thirteen million, five hundred forty-three thousand, two hundred sixty-four".