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400166116245 = 32573140979633
BaseRepresentation
bin1011101001010111100…
…00100101101110010101
31102020220021010221122100
411310223300211232111
523024020011204440
6503500032352313
740624326602640
oct5645360455625
91366807127570
10400166116245
11144789381a55
126567a9a5699
132b973b9098c
1415522284a57
15a6212ad230
hex5d2bc25b95

400166116245 has 48 divisors (see below), whose sum is σ = 818281331712. Its totient is φ = 177032010240.

The previous prime is 400166116211. The next prime is 400166116327. The reversal of 400166116245 is 542611661004.

400166116245 is a `hidden beast` number, since 4 + 0 + 0 + 16 + 6 + 11 + 624 + 5 = 666.

It is not a de Polignac number, because 400166116245 - 210 = 400166115221 is a prime.

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, 20480052 + ... + 20499581.

It is an arithmetic number, because the mean of its divisors is an integer number (17047527744).

Almost surely, 2400166116245 is an apocalyptic number.

400166116245 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

400166116245 is an abundant number, since it is smaller than the sum of its proper divisors (418115215467).

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

400166116245 is a wasteful number, since it uses less digits than its factorization.

400166116245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40979682 (or 40979679 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 400166116245 its reverse (542611661004), we get a palindrome (942777777249).

The spelling of 400166116245 in words is "four hundred billion, one hundred sixty-six million, one hundred sixteen thousand, two hundred forty-five".

Divisors: 1 3 5 7 9 15 21 31 35 45 63 93 105 155 217 279 315 465 651 1085 1395 1953 3255 9765 40979633 122938899 204898165 286857431 368816697 614694495 860572293 1270368623 1434287155 1844083485 2581716879 3811105869 4302861465 6351843115 8892580361 11433317607 12908584395 19055529345 26677741083 44462901805 57166588035 80033223249 133388705415 400166116245