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275003079966 = 233192083128677
BaseRepresentation
bin1000000000001110111…
…01011111110100011110
3222021211102210220212000
410000013131133310132
514001201242024331
6330200142223130
725603555416426
oct4000735376436
9867742726760
10275003079966
11a66a00842aa
1245369b84aa6
131cc18133274
14d44b35b486
157247de90e6
hex400775fd1e

275003079966 has 64 divisors (see below), whose sum is σ = 643595884800. Its totient is φ = 86800711968.

The previous prime is 275003079961. The next prime is 275003079977. The reversal of 275003079966 is 669970300572.

275003079966 is a `hidden beast` number, since 2 + 7 + 500 + 3 + 0 + 79 + 9 + 66 = 666.

It is a super-2 number, since 2×2750030799662 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (275003079961) 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, 2072820 + ... + 2201496.

It is an arithmetic number, because the mean of its divisors is an integer number (10056185700).

Almost surely, 2275003079966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 275003079966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321797942400).

275003079966 is an abundant number, since it is smaller than the sum of its proper divisors (368592804834).

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

275003079966 is a wasteful number, since it uses less digits than its factorization.

275003079966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130790 (or 130784 counting only the distinct ones).

The product of its (nonzero) digits is 4286520, while the sum is 54.

The spelling of 275003079966 in words is "two hundred seventy-five billion, three million, seventy-nine thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 513 1026 2083 4166 6249 12498 18747 37494 39577 56241 79154 112482 118731 128677 237462 257354 356193 386031 712386 772062 1068579 1158093 2137158 2316186 2444863 3474279 4889726 6948558 7334589 14669178 22003767 44007534 66011301 132022602 268034191 536068382 804102573 1608205146 2412307719 4824615438 5092649629 7236923157 10185299258 14473846314 15277948887 30555897774 45833846661 91667693322 137501539983 275003079966