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40169200084 = 22131736177237
BaseRepresentation
bin100101011010010001…
…010101100111010100
310211200110102210101021
4211122101111213110
51124231303400314
630241541210524
72621300365336
oct453221254724
9124613383337
1040169200084
1116043514622
127950700a44
133a32144760
141d30c53456
1510a17aa324
hex95a4559d4

40169200084 has 48 divisors (see below), whose sum is σ = 76275028368. Its totient is φ = 18400048128.

The previous prime is 40169200079. The next prime is 40169200177. The reversal of 40169200084 is 48000296104.

It can be written as a sum of positive squares in 8 ways, for example, as 1292402500 + 38876797584 = 35950^2 + 197172^2 .

It is a super-2 number, since 2×401692000842 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5546914 + ... + 5554150.

It is an arithmetic number, because the mean of its divisors is an integer number (1589063091).

Almost surely, 240169200084 is an apocalyptic number.

It is an amenable number.

40169200084 is a deficient number, since it is larger than the sum of its proper divisors (36105828284).

40169200084 is a wasteful number, since it uses less digits than its factorization.

40169200084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8044 (or 8042 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

Adding to 40169200084 its reverse (48000296104), we get a palindrome (88169496188).

The spelling of 40169200084 in words is "forty billion, one hundred sixty-nine million, two hundred thousand, eighty-four".

Divisors: 1 2 4 13 26 52 173 346 617 692 1234 2249 2468 4498 7237 8021 8996 14474 16042 28948 32084 94081 106741 188162 213482 376324 426964 1252001 1387633 2504002 2775266 4465229 5008004 5550532 8930458 16276013 17860916 32552026 58047977 65104052 116095954 232191908 772484617 1544969234 3089938468 10042300021 20084600042 40169200084