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523400897553408 = 210357829362473
BaseRepresentation
bin111011100000001111100010…
…0100100101110010000000000
32112122012122012110210020100000
41313000133010210232100000
51022100400014233202113
65053103015233200000
7215150316111303450
oct16700370444562000
92478178173706300
10523400897553408
1114185408a6aa056
124a852725700000
1319608653a63834
149336a4aa53d60
154079cd25b8373
hex1dc07c492e400

523400897553408 has 528 divisors, whose sum is σ = 1793346320554880. Its totient is φ = 149362311757824.

The previous prime is 523400897553397. The next prime is 523400897553451. The reversal of 523400897553408 is 804355798004325.

523400897553408 is a `hidden beast` number, since 5 + 2 + 3 + 4 + 0 + 0 + 8 + 97 + 5 + 534 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1443790860 + ... + 1444153332.

Almost surely, 2523400897553408 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 523400897553408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896673160277440).

523400897553408 is an abundant number, since it is smaller than the sum of its proper divisors (1269945423001472).

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

523400897553408 is an equidigital number, since it uses as much as digits as its factorization.

523400897553408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363344 (or 363314 counting only the distinct ones).

The product of its (nonzero) digits is 145152000, while the sum is 63.

The spelling of 523400897553408 in words is "five hundred twenty-three trillion, four hundred billion, eight hundred ninety-seven million, five hundred fifty-three thousand, four hundred eight".