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10030142211664 = 2417291283991091
BaseRepresentation
bin1001000111110101001100…
…0100000100011001010000
31022111212112212010020221011
42101331103010010121100
52303313212401233124
633155441141140304
72053440163044361
oct221752304043120
938455485106834
1010030142211664
11321783987a853
12115baaa3ba694
13579ab8b23523
142696663d5b68
15125d912ad994
hex91f53104650

10030142211664 has 80 divisors (see below), whose sum is σ = 21302690022720. Its totient is φ = 4553749329920.

The previous prime is 10030142211619. The next prime is 10030142211689. The reversal of 10030142211664 is 46611224103001.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 9624759 + ... + 10615849.

It is an arithmetic number, because the mean of its divisors is an integer number (266283625284).

Almost surely, 210030142211664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10030142211664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10651345011360).

10030142211664 is an abundant number, since it is smaller than the sum of its proper divisors (11272547811056).

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

10030142211664 is a wasteful number, since it uses less digits than its factorization.

10030142211664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992428 (or 992422 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

Adding to 10030142211664 its reverse (46611224103001), we get a palindrome (56641366314665).

The spelling of 10030142211664 in words is "ten trillion, thirty billion, one hundred forty-two million, two hundred eleven thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 17 29 34 58 68 116 136 232 272 464 493 986 1283 1972 2566 3944 5132 7888 10264 20528 21811 37207 43622 74414 87244 148828 174488 297656 348976 595312 632519 991091 1265038 1982182 2530076 3964364 5060152 7928728 10120304 15857456 16848547 28741639 33697094 57483278 67394188 114966556 134788376 229933112 269576752 459866224 488607863 977215726 1271569753 1954431452 2543139506 3908862904 5086279012 7817725808 10172558024 20345116048 21616685801 36875522837 43233371602 73751045674 86466743204 147502091348 172933486408 295004182696 345866972816 590008365392 626883888229 1253767776458 2507535552916 5015071105832 10030142211664