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6454838742 = 231189212347
BaseRepresentation
bin1100000001011110…
…10000010111010110
3121122211220210010120
412000233100113112
5101204414314432
62544301332410
7315646136562
oct60057202726
917584823116
106454838742
112812651980
121301867106
137bb39b011
144533aa6a2
1527ba2ec2c
hex180bd05d6

6454838742 has 48 divisors (see below), whose sum is σ = 14244455232. Its totient is φ = 1933877440.

The previous prime is 6454838729. The next prime is 6454838779. The reversal of 6454838742 is 2478384546.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 516613 + ... + 528959.

It is an arithmetic number, because the mean of its divisors is an integer number (296759484).

Almost surely, 26454838742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6454838742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7122227616).

6454838742 is an abundant number, since it is smaller than the sum of its proper divisors (7789616490).

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

6454838742 is a wasteful number, since it uses less digits than its factorization.

6454838742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12541 (or 12452 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 51.

The square root of 6454838742 is about 80342.0110651955. The cubic root of 6454838742 is about 1861.9233526874.

The spelling of 6454838742 in words is "six billion, four hundred fifty-four million, eight hundred thirty-eight thousand, seven hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 89 178 267 534 979 1958 2937 5874 7921 12347 15842 23763 24694 37041 47526 74082 87131 135817 174262 261393 271634 407451 522786 814902 1098883 2197766 3296649 6593298 12087713 24175426 36263139 72526278 97800587 195601174 293401761 586803522 1075806457 2151612914 3227419371 6454838742