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20400434261641 = 763115492981677
BaseRepresentation
bin1001010001101110110001…
…01000110010111010001001
32200020021002100011122122001
410220313120220302322021
510133220042132333031
6111215455150031001
74203611531052550
oct450673050627211
980207070148561
1020400434261641
116555859336655
1223558a81a8461
13b4c9a289b315
14507559d82d97
152559de95e861
hex128dd8a32e89

20400434261641 has 16 divisors (see below), whose sum is σ = 23366814150400. Its totient is φ = 17447098213440.

The previous prime is 20400434261561. The next prime is 20400434261653. The reversal of 20400434261641 is 14616243400402.

It is not a de Polignac number, because 20400434261641 - 215 = 20400434228873 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 20400434261641.

It is not an unprimeable number, because it can be changed into a prime (20400434261681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5351095 + ... + 8332771.

It is an arithmetic number, because the mean of its divisors is an integer number (1460425884400).

Almost surely, 220400434261641 is an apocalyptic number.

It is an amenable number.

20400434261641 is a deficient number, since it is larger than the sum of its proper divisors (2966379888759).

20400434261641 is a wasteful number, since it uses less digits than its factorization.

20400434261641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2983864.

The product of its (nonzero) digits is 110592, while the sum is 37.

The spelling of 20400434261641 in words is "twenty trillion, four hundred billion, four hundred thirty-four million, two hundred sixty-one thousand, six hundred forty-one".

Divisors: 1 7 631 1549 4417 10843 977419 2981677 6841933 20871739 1881438187 4618617673 13170067309 32330323711 2914347751663 20400434261641