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5458831168 = 26731478363
BaseRepresentation
bin1010001010101111…
…10010011101000000
3112002102202100121011
411011113302131000
542134430044133
62301401410304
7252163204450
oct50527623500
915072670534
105458831168
11235140571a
121084199994
1368cc2b11b
1439adbbd60
1521e38b6cd
hex1455f2740

5458831168 has 112 divisors (see below), whose sum is σ = 13052657664. Its totient is φ = 2215595520.

The previous prime is 5458831151. The next prime is 5458831181. The reversal of 5458831168 is 8611388545.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 648555 + ... + 656917.

Almost surely, 25458831168 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 5458831168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6526328832).

5458831168 is an abundant number, since it is smaller than the sum of its proper divisors (7593826496).

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

5458831168 is a wasteful number, since it uses less digits than its factorization.

5458831168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8460 (or 8450 counting only the distinct ones).

The product of its digits is 921600, while the sum is 49.

The square root of 5458831168 is about 73883.9033078248. The cubic root of 5458831168 is about 1760.7588807261.

The spelling of 5458831168 in words is "five billion, four hundred fifty-eight million, eight hundred thirty-one thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 32 47 56 62 64 94 112 124 188 217 224 248 329 376 434 448 496 658 752 868 992 1316 1457 1504 1736 1984 2632 2914 3008 3472 5264 5828 6944 8363 10199 10528 11656 13888 16726 20398 21056 23312 33452 40796 46624 58541 66904 81592 93248 117082 133808 163184 234164 259253 267616 326368 393061 468328 518506 535232 652736 786122 936656 1037012 1572244 1814771 1873312 2074024 2751427 3144488 3629542 3746624 4148048 5502854 6288976 7259084 8296096 11005708 12184891 12577952 14518168 16592192 22011416 24369782 25155904 29036336 44022832 48739564 58072672 85294237 88045664 97479128 116145344 170588474 176091328 194958256 341176948 389916512 682353896 779833024 1364707792 2729415584 5458831168