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21486416436 = 22322392497259
BaseRepresentation
bin10100000000101100…
…001011001000110100
32001110102111001021100
4110000230023020310
5323001010311221
613512024250100
71360311345342
oct240054131064
961412431240
1021486416436
119126581761
1241b7910930
1320456221a4
14107b890992
1585b4d0926
hex500b0b234

21486416436 has 36 divisors (see below), whose sum is σ = 54540158400. Its totient is φ = 7132168848.

The previous prime is 21486416431. The next prime is 21486416443. The reversal of 21486416436 is 63461468412.

21486416436 is a `hidden beast` number, since 2 + 1 + 486 + 4 + 164 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×214864164362 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21486416391 and 21486416400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21486416431) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1240026 + ... + 1257233.

It is an arithmetic number, because the mean of its divisors is an integer number (1515004400).

Almost surely, 221486416436 is an apocalyptic number.

It is an amenable number.

21486416436 is an abundant number, since it is smaller than the sum of its proper divisors (33053741964).

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

21486416436 is a wasteful number, since it uses less digits than its factorization.

21486416436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2497508 (or 2497503 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The spelling of 21486416436 in words is "twenty-one billion, four hundred eighty-six million, four hundred sixteen thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 239 478 717 956 1434 2151 2868 4302 8604 2497259 4994518 7491777 9989036 14983554 22475331 29967108 44950662 89901324 596844901 1193689802 1790534703 2387379604 3581069406 5371604109 7162138812 10743208218 21486416436