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73469802352320 = 263251156319332131
BaseRepresentation
bin10000101101001000000101…
…011110001000111011000000
3100122010122101211220022110200
4100231020011132020323000
534112212123400233240
6420131321121525200
721322006123011363
oct2055100536107300
9318118354808420
1073469802352320
112145640608a680
1282a6b341a3800
1331cc232379b9a
14141dd591a80da
158761b8c01930
hex42d205788ec0

73469802352320 has 672 divisors, whose sum is σ = 276440929000704. Its totient is φ = 17761688985600.

The previous prime is 73469802352291. The next prime is 73469802352321. The reversal of 73469802352320 is 2325320896437.

It is a happy number.

73469802352320 is a `hidden beast` number, since 7 + 3 + 4 + 6 + 9 + 80 + 235 + 2 + 320 = 666.

73469802352320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (73469802352321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34476677655 + ... + 34476679785.

Almost surely, 273469802352320 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 73469802352320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138220464500352).

73469802352320 is an abundant number, since it is smaller than the sum of its proper divisors (202971126648384).

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

73469802352320 is a wasteful number, since it uses less digits than its factorization.

73469802352320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4661 (or 4648 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 73469802352320 in words is "seventy-three trillion, four hundred sixty-nine billion, eight hundred two million, three hundred fifty-two thousand, three hundred twenty".