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73491452496 = 2433711319312
BaseRepresentation
bin100010001110001101…
…1101001001001010000
321000200202010121022000
41010130123221021100
52201002302434441
653432252514000
75211121016310
oct1043433511120
9230622117260
1073491452496
1129193011000
12122b017b900
136c128b0587
1437b25cb440
151da1dd02b6
hex111c6e9250

73491452496 has 960 divisors, whose sum is σ = 288424396800. Its totient is φ = 17500665600.

The previous prime is 73491452393. The next prime is 73491452519. The reversal of 73491452496 is 69425419437.

73491452496 is a `hidden beast` number, since 7 + 3 + 4 + 9 + 145 + 2 + 496 = 666.

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2370692001 + ... + 2370692031.

It is an arithmetic number, because the mean of its divisors is an integer number (300442080).

Almost surely, 273491452496 is an apocalyptic number.

73491452496 is a gapful number since it is divisible by the number (76) 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 73491452496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144212198400).

73491452496 is an abundant number, since it is smaller than the sum of its proper divisors (214932944304).

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

73491452496 is a wasteful number, since it uses less digits than its factorization.

73491452496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 73 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 73491452496 in words is "seventy-three billion, four hundred ninety-one million, four hundred fifty-two thousand, four hundred ninety-six".