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1086664252500 = 223254216122349
BaseRepresentation
bin11111101000000100011…
…11001001110001010100
310211212212111111121021200
433310002033021301110
5120300442022040000
62151112350112500
7141336360513141
oct17640217116124
93755774447250
101086664252500
11389940706572
121567297ab730
137b619ca0718
143a8483013c8
151d3eed2d500
hexfd023c9c54

1086664252500 has 180 divisors, whose sum is σ = 3434200469700. Its totient is φ = 289630080000.

The previous prime is 1086664252493. The next prime is 1086664252501. The reversal of 1086664252500 is 52524666801.

It can be written as a sum of positive squares in 10 ways, for example, as 938751707664 + 147912544836 = 968892^2 + 384594^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×10866642525002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1086664252501) 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 59 ways as a sum of consecutive naturals, for example, 48611326 + ... + 48633674.

Almost surely, 21086664252500 is an apocalyptic number.

1086664252500 is a gapful number since it is divisible by the number (10) 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 1086664252500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1717100234850).

1086664252500 is an abundant number, since it is smaller than the sum of its proper divisors (2347536217200).

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

1086664252500 is a wasteful number, since it uses less digits than its factorization.

1086664252500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24540 (or 24520 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 1086664252500 in words is "one trillion, eighty-six billion, six hundred sixty-four million, two hundred fifty-two thousand, five hundred".