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21434186211461 = 833831759738317
BaseRepresentation
bin1001101111110100010010…
…00011100010000010000101
32210220002101021211210001122
410313322021003202002011
510302134203132231321
6113330421302003325
74341366054462632
oct467721103420205
983802337753048
1021434186211461
116914207367a51
1224a2109716545
13bc63096415aa
145415c4c59189
152728443c88ab
hex137e890e2085

21434186211461 has 16 divisors (see below), whose sum is σ = 21750871209984. Its totient is φ = 21118901916864.

The previous prime is 21434186211433. The next prime is 21434186211523. The reversal of 21434186211461 is 16411268143412.

It is not a de Polignac number, because 21434186211461 - 226 = 21434119102597 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21434186211161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 559371875 + ... + 559410191.

It is an arithmetic number, because the mean of its divisors is an integer number (1359429450624).

Almost surely, 221434186211461 is an apocalyptic number.

It is an amenable number.

21434186211461 is a deficient number, since it is larger than the sum of its proper divisors (316684998523).

21434186211461 is a wasteful number, since it uses less digits than its factorization.

21434186211461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56380.

The product of its digits is 221184, while the sum is 44.

The spelling of 21434186211461 in words is "twenty-one trillion, four hundred thirty-four billion, one hundred eighty-six million, two hundred eleven thousand, four hundred sixty-one".

Divisors: 1 83 383 17597 31789 38317 1460551 3180311 6739651 14675411 559391033 674264249 1218059113 55963932667 258243207367 21434186211461