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73561400000 = 265511291153
BaseRepresentation
bin100010010000010011…
…0011110001011000000
321000212121202022020022
41010200212132023000
52201123204300000
653443232033012
75212630404014
oct1044046361300
9230777668208
1073561400000
1129219546660
121230b692768
136c2423122a
1437bb9d8544
151da80ea585
hex112099e2c0

73561400000 has 336 divisors, whose sum is σ = 206083997280. Its totient is φ = 25804800000.

The previous prime is 73561399973. The next prime is 73561400071. The reversal of 73561400000 is 416537.

It is a super-2 number, since 2×735614000002 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63799424 + ... + 63800576.

It is an arithmetic number, because the mean of its divisors is an integer number (613345230).

Almost surely, 273561400000 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 73561400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103041998640).

73561400000 is an abundant number, since it is smaller than the sum of its proper divisors (132522597280).

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

73561400000 is a wasteful number, since it uses less digits than its factorization.

73561400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

Adding to 73561400000 its reverse (416537), we get a palindrome (73561816537).

The spelling of 73561400000 in words is "seventy-three billion, five hundred sixty-one million, four hundred thousand".