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652201482240 = 211325711731259
BaseRepresentation
bin10010111110110100011…
…11001101100000000000
32022100110001011010000100
421133122033031200000
541141202034412430
61215341153122400
765056106062230
oct11373217154000
92270401133010
10652201482240
11231662808860
12a6498b59400
134966b82a439
14237d1119cc0
1511e72b23960
hex97da3cd800

652201482240 has 1152 divisors, whose sum is σ = 2859051686400. Its totient is φ = 133559746560.

The previous prime is 652201482223. The next prime is 652201482253. The reversal of 652201482240 is 42284102256.

652201482240 is a `hidden beast` number, since 6 + 522 + 0 + 14 + 82 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a junction number, because it is equal to n+sod(n) for n = 652201482195 and 652201482204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 518030731 + ... + 518031989.

It is an arithmetic number, because the mean of its divisors is an integer number (2481815700).

Almost surely, 2652201482240 is an apocalyptic number.

652201482240 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 652201482240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1429525843200).

652201482240 is an abundant number, since it is smaller than the sum of its proper divisors (2206850204160).

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

652201482240 is a wasteful number, since it uses less digits than its factorization.

652201482240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1383 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

Adding to 652201482240 its reverse (42284102256), we get a palindrome (694485584496).

The spelling of 652201482240 in words is "six hundred fifty-two billion, two hundred one million, four hundred eighty-two thousand, two hundred forty".