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652213140480 = 21034511142969
BaseRepresentation
bin10010111110110101110…
…11101011110000000000
32022100110212002102010000
421133122323223300000
541141213030443410
61215342251040000
765056310136246
oct11373273536000
92270425072100
10652213140480
11231669350870
12a64a0a40000
134967107c9c5
14237d28b2796
1511e73b77dc0
hex97daeebc00

652213140480 has 440 divisors, whose sum is σ = 2549650348080. Its totient is φ = 158111170560.

The previous prime is 652213140389. The next prime is 652213140533. The reversal of 652213140480 is 84041312256.

It is a happy number.

652213140480 is a `hidden beast` number, since 6 + 5 + 2 + 2 + 131 + 40 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (440).

It is a super-2 number, since 2×6522131404802 (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4490436 + ... + 4633404.

It is an arithmetic number, because the mean of its divisors is an integer number (5794659882).

Almost surely, 2652213140480 is an apocalyptic number.

652213140480 is a gapful number since it is divisible by the number (60) 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 652213140480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1274825174040).

652213140480 is an abundant number, since it is smaller than the sum of its proper divisors (1897437207600).

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

652213140480 is a wasteful number, since it uses less digits than its factorization.

652213140480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143017 (or 142990 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 652213140480 in words is "six hundred fifty-two billion, two hundred thirteen million, one hundred forty thousand, four hundred eighty".