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10239883892644 = 2271723473646781
BaseRepresentation
bin1001010100000010100010…
…1001000101011110100100
31100020220221010002121110211
42111000220221011132210
52320232240234031034
633440045425225204
72104543603652560
oct225005051053644
940226833077424
1010239883892644
11329878a56006a
121194684492204
13593803466a73
142758821d66a0
1512b569ab6d64
hex95028a457a4

10239883892644 has 72 divisors (see below), whose sum is σ = 21818025698112. Its totient is φ = 4118469112320.

The previous prime is 10239883892597. The next prime is 10239883892741. The reversal of 10239883892644 is 44629838893201.

It is a self number, because there is not a number n which added to its sum of digits gives 10239883892644.

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 23 ways as a sum of consecutive naturals, for example, 984534 + ... + 4631314.

It is an arithmetic number, because the mean of its divisors is an integer number (303028134696).

Almost surely, 210239883892644 is an apocalyptic number.

10239883892644 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10239883892644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10909012849056).

10239883892644 is an abundant number, since it is smaller than the sum of its proper divisors (11578141805468).

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

10239883892644 is a wasteful number, since it uses less digits than its factorization.

10239883892644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3647173 (or 3647154 counting only the distinct ones).

The product of its (nonzero) digits is 143327232, while the sum is 67.

The spelling of 10239883892644 in words is "ten trillion, two hundred thirty-nine billion, eight hundred eighty-three million, eight hundred ninety-two thousand, six hundred forty-four".

Divisors: 1 2 4 7 14 17 28 34 68 119 238 289 347 476 578 694 1156 1388 2023 2429 4046 4858 5899 8092 9716 11798 23596 41293 82586 100283 165172 200566 401132 701981 1403962 2807924 3646781 7293562 14587124 25527467 51054934 61995277 102109868 123990554 247981108 433966939 867933878 1053919709 1265433007 1735867756 2107839418 2530866014 4215678836 5061732028 7377437963 8858031049 14754875926 17716062098 21512361119 29509751852 35432124196 43024722238 86049444476 150586527833 301173055666 365710139023 602346111332 731420278046 1462840556092 2559970973161 5119941946322 10239883892644