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21052247464000 = 265321411229113
BaseRepresentation
bin1001100100101100110111…
…01110110101100001000000
32202112120112022201002210001
410302112123232311201000
510224410000322322000
6112435134033045344
74301655213625564
oct462263356654100
982476468632701
1021052247464000
116787231953a45
1224400970b6854
13b992abb2b93c
1452ad116a96a4
1526793d43746a
hex13259bbb5840

21052247464000 has 112 divisors (see below), whose sum is σ = 52160284468656. Its totient is φ = 8416958976000.

The previous prime is 21052247463901. The next prime is 21052247464043. The reversal of 21052247464000 is 46474225012.

It can be written as a sum of positive squares in 8 ways, for example, as 310489670656 + 20741757793344 = 557216^2 + 4554312^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16513444 + ... + 17742556.

It is an arithmetic number, because the mean of its divisors is an integer number (465716825613).

Almost surely, 221052247464000 is an apocalyptic number.

21052247464000 is a gapful number since it is divisible by the number (20) 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 21052247464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26080142234328).

21052247464000 is an abundant number, since it is smaller than the sum of its proper divisors (31108037004656).

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

21052247464000 is a wasteful number, since it uses less digits than its factorization.

21052247464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1231281 (or 1231261 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 37.

The spelling of 21052247464000 in words is "twenty-one trillion, fifty-two billion, two hundred forty-seven million, four hundred sixty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 1000 1600 2000 2141 4000 4282 8000 8564 10705 17128 21410 34256 42820 53525 68512 85640 107050 137024 171280 214100 267625 342560 428200 535250 685120 856400 1070500 1229113 1712800 2141000 2458226 3425600 4282000 4916452 6145565 8564000 9832904 12291130 17128000 19665808 24582260 30727825 39331616 49164520 61455650 78663232 98329040 122911300 153639125 196658080 245822600 307278250 393316160 491645200 614556500 983290400 1229113000 1966580800 2458226000 2631530933 4916452000 5263061866 9832904000 10526123732 13157654665 21052247464 26315309330 42104494928 52630618660 65788273325 84208989856 105261237320 131576546650 168417979712 210522474640 263153093300 328941366625 421044949280 526306186600 657882733250 842089898560 1052612373200 1315765466500 2105224746400 2631530933000 4210449492800 5263061866000 10526123732000 21052247464000