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22504440026401 = 315772287550129
BaseRepresentation
bin1010001110111101110010…
…01001110101010100100001
32221200101220010012210001121
411013132321021311110201
510422203043121321101
6115510221431332241
74511615001012604
oct507367111652441
987611803183047
1022504440026401
117197096783923
122635617521081
13c7320c801718
1457b3138a833b
152905d368a0a1
hex1477b9275521

22504440026401 has 16 divisors (see below), whose sum is σ = 23280867850240. Its totient is φ = 21731200266240.

The previous prime is 22504440026293. The next prime is 22504440026489. The reversal of 22504440026401 is 10462004440522.

It is a cyclic number.

It is not a de Polignac number, because 22504440026401 - 29 = 22504440025889 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22504440020401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40632505 + ... + 41182633.

It is an arithmetic number, because the mean of its divisors is an integer number (1455054240640).

Almost surely, 222504440026401 is an apocalyptic number.

It is an amenable number.

22504440026401 is a deficient number, since it is larger than the sum of its proper divisors (776427823839).

22504440026401 is a wasteful number, since it uses less digits than its factorization.

22504440026401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553024.

The product of its (nonzero) digits is 61440, while the sum is 34.

Adding to 22504440026401 its reverse (10462004440522), we get a palindrome (32966444466923).

The spelling of 22504440026401 in words is "twenty-two trillion, five hundred four billion, four hundred forty million, twenty-six thousand, four hundred one".

Divisors: 1 31 577 2287 17887 70897 550129 1319599 17053999 40907569 317424433 1258145023 9840157423 39002495713 725949678271 22504440026401