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5358317290496 = 2107198298779
BaseRepresentation
bin100110111111001010010…
…0110010100010000000000
3200222020202100022110102022
41031332110212110100000
51200242313211243441
615221324343341012
71062061045322552
oct115762446242000
920866670273368
105358317290496
1117864a4468305
12726589751768
132cb396b48851
141474b5ab74d2
15945aea4784b
hex4df94994400

5358317290496 has 88 divisors (see below), whose sum is σ = 10740461616000. Its totient is φ = 2671900729344.

The previous prime is 5358317290483. The next prime is 5358317290507. The reversal of 5358317290496 is 6940927138535.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 610351835 + ... + 610360613.

It is a 2-persistent number, because it is pandigital, and so is 2⋅5358317290496 = 10716634580992, but 3⋅5358317290496 = 16074951871488 is not.

Almost surely, 25358317290496 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 5358317290496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5370230808000).

5358317290496 is an abundant number, since it is smaller than the sum of its proper divisors (5382144325504).

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

5358317290496 is an equidigital number, since it uses as much as digits as its factorization.

5358317290496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10347 (or 10329 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 62.

The spelling of 5358317290496 in words is "five trillion, three hundred fifty-eight billion, three hundred seventeen million, two hundred ninety thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 128 256 512 719 829 1024 1438 1658 2876 3316 5752 6632 8779 11504 13264 17558 23008 26528 35116 46016 53056 70232 92032 106112 140464 184064 212224 280928 368128 424448 561856 596051 736256 848896 1123712 1192102 2247424 2384204 4494848 4768408 6312101 7277791 8989696 9536816 12624202 14555582 19073632 25248404 29111164 38147264 50496808 58222328 76294528 100993616 116444656 152589056 201987232 232889312 305178112 403974464 465778624 610356224 807948928 931557248 1615897856 1863114496 3231795712 3726228992 5232731729 6463591424 7452457984 10465463458 20930926916 41861853832 83723707664 167447415328 334894830656 669789661312 1339579322624 2679158645248 5358317290496