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73705242240 = 2732576312897
BaseRepresentation
bin100010010100100101…
…1001011111010000000
321001020122102020200200
41010221023023322000
52201422020222430
653505411045200
75216325136110
oct1045113137200
9231218366620
1073705242240
1129292762443
121234b8a0800
136c47c85396
1437d2b5d040
151db5a60460
hex11292cbe80

73705242240 has 384 divisors, whose sum is σ = 291434008320. Its totient is φ = 16814407680.

The previous prime is 73705242197. The next prime is 73705242283. The reversal of 73705242240 is 4224250737.

It is a happy number.

73705242240 is a `hidden beast` number, since 7 + 3 + 70 + 524 + 22 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (73705242197) and next prime (73705242283).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 73705242195 and 73705242204.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25440472 + ... + 25443368.

It is an arithmetic number, because the mean of its divisors is an integer number (758942730).

Almost surely, 273705242240 is an apocalyptic number.

73705242240 is a gapful number since it is divisible by the number (70) 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 73705242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145717004160).

73705242240 is an abundant number, since it is smaller than the sum of its proper divisors (217728766080).

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

73705242240 is a wasteful number, since it uses less digits than its factorization.

73705242240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3560 (or 3545 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 36.

Adding to 73705242240 its reverse (4224250737), we get a palindrome (77929492977).

The spelling of 73705242240 in words is "seventy-three billion, seven hundred five million, two hundred forty-two thousand, two hundred forty".