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1317049552 = 247132367587
BaseRepresentation
bin100111010000000…
…1001010011010000
310101210021001100001
41032200021103100
510144131041202
6334404535344
744431510420
oct11640112320
93353231301
101317049552
11616492905
123090b1554
1317cb27480
14c6cbc480
157a95bd87
hex4e8094d0

1317049552 has 160 divisors (see below), whose sum is σ = 3331786752. Its totient is φ = 490102272.

The previous prime is 1317049549. The next prime is 1317049571. The reversal of 1317049552 is 2559407131.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2243403 + ... + 2243989.

Almost surely, 21317049552 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 1317049552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1665893376).

1317049552 is an abundant number, since it is smaller than the sum of its proper divisors (2014737200).

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

1317049552 is a wasteful number, since it uses less digits than its factorization.

1317049552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 37.

The square root of 1317049552 is about 36291.1773300344. The cubic root of 1317049552 is about 1096.1433959110.

The spelling of 1317049552 in words is "one billion, three hundred seventeen million, forty-nine thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 16 23 26 28 46 52 56 67 91 92 104 112 134 161 182 184 208 268 299 322 364 368 469 536 587 598 644 728 871 938 1072 1174 1196 1288 1456 1541 1742 1876 2093 2348 2392 2576 3082 3484 3752 4109 4186 4696 4784 6097 6164 6968 7504 7631 8218 8372 9392 10787 12194 12328 13501 13936 15262 16436 16744 20033 21574 24388 24656 27002 30524 32872 33488 39329 40066 43148 48776 53417 54004 61048 65744 78658 80132 86296 94507 97552 106834 108008 122096 140231 157316 160264 172592 175513 189014 213668 216016 275303 280462 314632 320528 351026 378028 427336 511277 550606 560924 629264 702052 756056 854672 904567 1022554 1101212 1121848 1228591 1404104 1512112 1809134 2045108 2202424 2243696 2457182 2808208 3578939 3618268 4090216 4404848 4914364 6331969 7157878 7236536 8180432 9828728 11759371 12663938 14315756 14473072 19657456 23518742 25327876 28631512 47037484 50655752 57263024 82315597 94074968 101311504 164631194 188149936 329262388 658524776 1317049552