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53005356720 = 243751771251
BaseRepresentation
bin110001010111010111…
…011000111010110000
312001211000221010000000
4301113113120322300
51332023332403340
640203400430000
73554344045461
oct612727307260
9161730833000
1053005356720
1120530162038
12a333478300
134cc95ab504
1427cb92cd68
1515a3645d30
hexc575d8eb0

53005356720 has 640 divisors, whose sum is σ = 199247247360. Its totient is φ = 13063680000.

The previous prime is 53005356713. The next prime is 53005356731. The reversal of 53005356720 is 2765350035.

53005356720 is a `hidden beast` number, since 53 + 0 + 0 + 535 + 6 + 72 + 0 = 666.

It is a super-3 number, since 3×530053567203 (a number of 33 digits) contains 333 as substring.

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

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 127 ways as a sum of consecutive naturals, for example, 211176595 + ... + 211176845.

It is an arithmetic number, because the mean of its divisors is an integer number (311323824).

Almost surely, 253005356720 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 53005356720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99623623680).

53005356720 is an abundant number, since it is smaller than the sum of its proper divisors (146241890640).

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

53005356720 is a wasteful number, since it uses less digits than its factorization.

53005356720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 94500, while the sum is 36.

The spelling of 53005356720 in words is "fifty-three billion, five million, three hundred fifty-six thousand, seven hundred twenty".