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11396139955200 = 21033527211132181
BaseRepresentation
bin1010010111010101111011…
…0111111011010000000000
31111100110102120212110022000
42211311132313323100000
52443203243312031300
640123151525344000
72254225654223400
oct245653667732000
944313376773260
1011396139955200
1136a40919a9540
121340794268000
13648861133800
142b580cc16800
1514b68e275c00
hexa5d5edfb400

11396139955200 has 4752 divisors, whose sum is σ = 57825328317120. Its totient is φ = 2173796352000.

The previous prime is 11396139955199. The next prime is 11396139955223. The reversal of 11396139955200 is 255993169311.

11396139955200 is a `hidden beast` number, since 1 + 13 + 9 + 6 + 13 + 9 + 95 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4752).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 431 ways as a sum of consecutive naturals, for example, 62962099110 + ... + 62962099290.

Almost surely, 211396139955200 is an apocalyptic number.

11396139955200 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 11396139955200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28912664158560).

11396139955200 is an abundant number, since it is smaller than the sum of its proper divisors (46429188361920).

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

11396139955200 is a wasteful number, since it uses less digits than its factorization.

11396139955200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 1968300, while the sum is 54.

The spelling of 11396139955200 in words is "eleven trillion, three hundred ninety-six billion, one hundred thirty-nine million, nine hundred fifty-five thousand, two hundred".