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21085752988096 = 262935593192149
BaseRepresentation
bin1001100101101011010001…
…10100010001000111000000
32202122210000101021002011221
410302311220310101013000
510230432110231104341
6112502354452444424
74304252421112366
oct462655064210700
982583011232157
1021085752988096
11679a465948125
122446688019714
13b9c4bb545844
1452c7ad50d636
1526874ebaeed1
hex132d68d111c0

21085752988096 has 56 divisors (see below), whose sum is σ = 43297045740000. Its totient is φ = 10176465675264.

The previous prime is 21085752988057. The next prime is 21085752988099. The reversal of 21085752988096 is 69088925758012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21085752988099) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5009430 + ... + 8201578.

Almost surely, 221085752988096 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 21085752988096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21648522870000).

21085752988096 is an abundant number, since it is smaller than the sum of its proper divisors (22211292751904).

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

21085752988096 is a wasteful number, since it uses less digits than its factorization.

21085752988096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3195749 (or 3195739 counting only the distinct ones).

The product of its (nonzero) digits is 174182400, while the sum is 70.

The spelling of 21085752988096 in words is "twenty-one trillion, eighty-five billion, seven hundred fifty-two million, nine hundred eighty-eight thousand, ninety-six".

Divisors: 1 2 4 8 16 29 32 58 64 116 232 464 928 1856 3559 7118 14236 28472 56944 103211 113888 206422 227776 412844 825688 1651376 3192149 3302752 6384298 6605504 12768596 25537192 51074384 92572321 102148768 185144642 204297536 370289284 740578568 1481157136 2962314272 5924628544 11360858291 22721716582 45443433164 90886866328 181773732656 329464890439 363547465312 658929780878 727094930624 1317859561756 2635719123512 5271438247024 10542876494048 21085752988096