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45473129596680 = 233523311153460951
BaseRepresentation
bin10100101011011100010011…
…01111001000011100001000
312222000012002120211221011020
422111232021233020130020
521430012432134043210
6240414022314032440
712402216354033132
oct1225561157103410
9188005076757136
1045473129596680
11135420561a2335
125124bb7118720
131c4b136902c56
14b32ca853a052
1553ccd908a770
hex295b89bc8708

45473129596680 has 256 divisors, whose sum is σ = 147070386339840. Its totient is φ = 11215024128000.

The previous prime is 45473129596637. The next prime is 45473129596693. The reversal of 45473129596680 is 8669592137454.

45473129596680 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 98420205 + ... + 98881155.

It is an arithmetic number, because the mean of its divisors is an integer number (574493696640).

It is a 1-persistent number, because it is pandigital, but 2⋅45473129596680 = 90946259193360 is not.

Almost surely, 245473129596680 is an apocalyptic number.

45473129596680 is a gapful number since it is divisible by the number (40) 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 45473129596680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73535193169920).

45473129596680 is an abundant number, since it is smaller than the sum of its proper divisors (101597256743160).

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

45473129596680 is a wasteful number, since it uses less digits than its factorization.

45473129596680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462172 (or 462168 counting only the distinct ones).

The product of its (nonzero) digits is 391910400, while the sum is 69.

The spelling of 45473129596680 in words is "forty-five trillion, four hundred seventy-three billion, one hundred twenty-nine million, five hundred ninety-six thousand, six hundred eighty".