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53382538664448 = 29379415276189
BaseRepresentation
bin11000010001101000101110…
…10000010001101000000000
321000000022122220102011021020
430020310113100101220000
523444104414344230243
6305311333312025440
714146522033604340
oct1410642720215000
9230008586364236
1053382538664448
111601145343a334
125ba1a88232280
1323a2c4b1326a6
14d27a2b614d20
15628907d48283
hex308d17411a00

53382538664448 has 160 divisors (see below), whose sum is σ = 162703517201280. Its totient is φ = 15235942563840.

The previous prime is 53382538664423. The next prime is 53382538664449. The reversal of 53382538664448 is 84446683528335.

It is a super-2 number, since 2×533825386644482 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (53382538664449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7479538 + ... + 12755726.

It is an arithmetic number, because the mean of its divisors is an integer number (1016896982508).

Almost surely, 253382538664448 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 53382538664448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81351758600640).

53382538664448 is an abundant number, since it is smaller than the sum of its proper divisors (109320978536832).

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

53382538664448 is an equidigital number, since it uses as much as digits as its factorization.

53382538664448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5277158 (or 5277142 counting only the distinct ones).

The product of its digits is 1592524800, while the sum is 69.

The spelling of 53382538664448 in words is "fifty-three trillion, three hundred eighty-two billion, five hundred thirty-eight million, six hundred sixty-four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 941 1344 1536 1792 1882 2688 2823 3584 3764 5376 5646 6587 7528 10752 11292 13174 15056 19761 22584 26348 30112 39522 45168 52696 60224 79044 90336 105392 120448 158088 180672 210784 240896 316176 361344 421568 481792 632352 722688 843136 1264704 1445376 1686272 2529408 3372544 5058816 5276189 10117632 10552378 15828567 21104756 31657134 36933323 42209512 63314268 73866646 84419024 110799969 126628536 147733292 168838048 221599938 253257072 295466584 337676096 443199876 506514144 590933168 675352192 886399752 1013028288 1181866336 1350704384 1772799504 2026056576 2363732672 2701408768 3545599008 4052113152 4727465344 4964893849 7091198016 8104226304 9454930688 9929787698 14182396032 14894681547 18909861376 19859575396 28364792064 29789363094 34754256943 39719150792 56729584128 59578726188 69508513886 79438301584 104262770829 119157452376 139017027772 158876603168 208525541658 238314904752 278034055544 317753206336 417051083316 476629809504 556068111088 635506412672 834102166632 953259619008 1112136222176 1271012825344 1668204333264 1906519238016 2224272444352 2542025650688 3336408666528 3813038476032 4448544888704 6672817333056 7626076952064 8897089777408 13345634666112 17794179554816 26691269332224 53382538664448