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613252632240 = 2432561101138247
BaseRepresentation
bin10001110110010001011…
…01001000111010110000
32011121220122000112020100
420323020231020322300
540021420133212430
61145420244112400
762206654236543
oct10731055107260
92147818015210
10613252632240
1121709613a326
129aa29095700
1345aa2483a31
14219783b285a
1510e43573960
hex8ec8b48eb0

613252632240 has 240 divisors, whose sum is σ = 2114009891136. Its totient is φ = 159259392000.

The previous prime is 613252632227. The next prime is 613252632257. The reversal of 613252632240 is 42236252316.

613252632240 is a `hidden beast` number, since 6 + 1 + 325 + 2 + 6 + 322 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 613252632195 and 613252632204.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4366797 + ... + 4505043.

Almost surely, 2613252632240 is an apocalyptic number.

613252632240 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 613252632240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1057004945568).

613252632240 is an abundant number, since it is smaller than the sum of its proper divisors (1500757258896).

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

613252632240 is a wasteful number, since it uses less digits than its factorization.

613252632240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138428 (or 138419 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 613252632240 its reverse (42236252316), we get a palindrome (655488884556).

The spelling of 613252632240 in words is "six hundred thirteen billion, two hundred fifty-two million, six hundred thirty-two thousand, two hundred forty".