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20067661575 = 3352132399431
BaseRepresentation
bin10010101100001000…
…000011011100000111
31220210112211211111000
4102230020003130013
5312044310132300
613115143344343
71310203210653
oct225410033407
956715754430
1020067661575
118568743185
123a807520b3
131b7a707c80
14d85299a63
157c6b83c00
hex4ac203707

20067661575 has 96 divisors (see below), whose sum is σ = 41427348480. Its totient is φ = 9449827200.

The previous prime is 20067661567. The next prime is 20067661597. The reversal of 20067661575 is 57516676002.

20067661575 is a `hidden beast` number, since 2 + 0 + 0 + 6 + 76 + 6 + 1 + 575 = 666.

It is not a de Polignac number, because 20067661575 - 23 = 20067661567 is a prime.

It is a super-2 number, since 2×200676615752 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 20067661575.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 152110 + ... + 251540.

It is an arithmetic number, because the mean of its divisors is an integer number (431534880).

Almost surely, 220067661575 is an apocalyptic number.

20067661575 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

20067661575 is an abundant number, since it is smaller than the sum of its proper divisors (21359686905).

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

20067661575 is a wasteful number, since it uses less digits than its factorization.

20067661575 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99486 (or 99475 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 20067661575 in words is "twenty billion, sixty-seven million, six hundred sixty-one thousand, five hundred seventy-five".

Divisors: 1 3 5 9 13 15 23 25 27 39 45 65 69 75 115 117 135 195 207 225 299 325 345 351 575 585 621 675 897 975 1035 1495 1725 1755 2691 2925 3105 4485 5175 7475 8073 8775 13455 15525 22425 40365 67275 99431 201825 298293 497155 894879 1292603 1491465 2286913 2485775 2684637 3877809 4474395 6463015 6860739 7457325 11434565 11633427 13423185 19389045 20582217 22371975 29729869 32315075 34303695 34900281 57172825 58167135 61746651 67115925 89189607 96945225 102911085 148649345 171518475 174501405 267568821 290835675 308733255 445948035 514555425 743246725 802706463 872507025 1337844105 1543666275 2229740175 4013532315 6689220525 20067661575