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63166051553072 = 24133494231205661
BaseRepresentation
bin11100101110010111111100…
…00100001000111100110000
322021122121121201221200121112
432113023332010020330300
531234403033144144242
6342202030011012452
716206411433210556
oct1627137604107460
9267577551850545
1063166051553072
1119143632403376
127102006a3a128
1329326c12c4030
141185378b31bd6
157481621a1c82
hex3972fe108f30

63166051553072 has 80 divisors (see below), whose sum is σ = 132207924609600. Its totient is φ = 29063015654400.

The previous prime is 63166051553063. The next prime is 63166051553089. The reversal of 63166051553072 is 27035515066136.

63166051553072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 63166051553072.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 307033922 + ... + 307239582.

It is an arithmetic number, because the mean of its divisors is an integer number (1652599057620).

Almost surely, 263166051553072 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 63166051553072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66103962304800).

63166051553072 is an abundant number, since it is smaller than the sum of its proper divisors (69041873056528).

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

63166051553072 is a wasteful number, since it uses less digits than its factorization.

63166051553072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210262 (or 210256 counting only the distinct ones).

The product of its (nonzero) digits is 3402000, while the sum is 50.

The spelling of 63166051553072 in words is "sixty-three trillion, one hundred sixty-six billion, fifty-one million, five hundred fifty-three thousand, seventy-two".

Divisors: 1 2 4 8 13 16 26 52 104 208 349 698 1396 2792 4231 4537 5584 8462 9074 16924 18148 33848 36296 55003 67696 72592 110006 205661 220012 411322 440024 822644 880048 1476619 1645288 2673593 2953238 3290576 5347186 5906476 10694372 11812952 19196047 21388744 23625904 38392094 42777488 71775689 76784188 143551378 153568376 287102756 307136752 574205512 870151691 933083957 1148411024 1740303382 1866167914 3480606764 3732335828 6961213528 7464671656 11311971983 13922427056 14929343312 22623943966 45247887932 90495775864 180991551728 303682940159 607365880318 1214731760636 2429463521272 3947878222067 4858927042544 7895756444134 15791512888268 31583025776536 63166051553072