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5468442840 = 233557179449
BaseRepresentation
bin1010001011111000…
…11101000011011000
3112010002211200100000
411011330131003120
542144410132330
62302343413000
7252340666020
oct50574350330
915102750300
105468442840
112356880053
121087454160
13691c14cc3
1439c3a0a80
15220139560
hex145f1d0d8

5468442840 has 384 divisors, whose sum is σ = 21228480000. Its totient is φ = 1240178688.

The previous prime is 5468442779. The next prime is 5468442857. The reversal of 5468442840 is 482448645.

5468442840 is a `hidden beast` number, since 546 + 8 + 44 + 28 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 12178936 + ... + 12179384.

It is an arithmetic number, because the mean of its divisors is an integer number (55282500).

Almost surely, 25468442840 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 5468442840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10614240000).

5468442840 is an abundant number, since it is smaller than the sum of its proper divisors (15760037160).

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

5468442840 is a wasteful number, since it uses less digits than its factorization.

5468442840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 45.

The square root of 5468442840 is about 73948.9204789360. The cubic root of 5468442840 is about 1761.7916972820.

The spelling of 5468442840 in words is "five billion, four hundred sixty-eight million, four hundred forty-two thousand, eight hundred forty".