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5644103040 = 273253173433
BaseRepresentation
bin1010100000110101…
…00010110110000000
3112120100101010211100
411100122202312000
543024342244130
62332020414400
7256603040622
oct52032426600
915510333740
105644103040
112436a49174
121116247400
136bc429754
143b7848c12
15230786c60
hex1506a2d80

5644103040 has 384 divisors, whose sum is σ = 20441191680. Its totient is φ = 1433272320.

The previous prime is 5644103033. The next prime is 5644103093. The reversal of 5644103040 is 403014465.

5644103040 is a `hidden beast` number, since 5 + 644 + 10 + 3 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×56441030402 = 63711798252274483200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5644102995 and 5644103013.

It is a congruent number.

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, 13034664 + ... + 13035096.

It is an arithmetic number, because the mean of its divisors is an integer number (53232270).

Almost surely, 25644103040 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 5644103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10220595840).

5644103040 is an abundant number, since it is smaller than the sum of its proper divisors (14797088640).

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

5644103040 is a wasteful number, since it uses less digits than its factorization.

5644103040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 5644103040 is about 75127.2456569519. The cubic root of 5644103040 is about 1780.4576359829.

The spelling of 5644103040 in words is "five billion, six hundred forty-four million, one hundred three thousand, forty".