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1640544123222 = 2321926921418329
BaseRepresentation
bin10111110111111000000…
…011001011100101010110
312210211112100012100012200
4113313320003023211112
5203334313243420342
63253353334025330
7226345132651644
oct27677003134526
95724470170180
101640544123222
11582829430344
12225b46aa8246
13bb91993bbb4
145958d258194
152ca1ac4c94c
hex17df80cb956

1640544123222 has 96 divisors (see below), whose sum is σ = 3757706316000. Its totient is φ = 515837652480.

The previous prime is 1640544123193. The next prime is 1640544123227. The reversal of 1640544123222 is 2223214450461.

1640544123222 is a `hidden beast` number, since 1 + 6 + 405 + 4 + 4 + 1 + 23 + 222 = 666.

It is a super-2 number, since 2×16405441232222 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1640544123227) 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 47 ways as a sum of consecutive naturals, for example, 196963554 + ... + 196971882.

It is an arithmetic number, because the mean of its divisors is an integer number (39142774125).

Almost surely, 21640544123222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1640544123222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1878853158000).

1640544123222 is an abundant number, since it is smaller than the sum of its proper divisors (2117162192778).

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

1640544123222 is a wasteful number, since it uses less digits than its factorization.

1640544123222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10766 (or 10763 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 1640544123222 its reverse (2223214450461), we get a palindrome (3863758573683).

The spelling of 1640544123222 in words is "one trillion, six hundred forty billion, five hundred forty-four million, one hundred twenty-three thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 269 342 538 807 1614 2141 2421 4282 4842 5111 6423 8329 10222 12846 15333 16658 19269 24987 30666 38538 40679 45999 49974 74961 81358 91998 122037 149922 158251 244074 316502 366111 474753 575929 732222 949506 1151858 1424259 1727787 2240501 2848518 3455574 4481002 5183361 6721503 10366722 10942651 13443006 17832389 20164509 21885302 32827953 35664778 40329018 42569519 53497167 65655906 85139038 98483859 106994334 127708557 160491501 196967718 255417114 320983002 338815391 383125671 677630782 766251342 1016446173 2032892346 3049338519 4796912641 6098677038 9593825282 14390737923 28781475846 43172213769 86344427538 91141340179 182282680358 273424020537 546848041074 820272061611 1640544123222