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1608967830496 = 2513107151239383
BaseRepresentation
bin10111011010011101111…
…101001011101111100000
312200211000201211110201111
4113122131331023233200
5202330131231033441
63231052152313104
7224146502622325
oct27323575135740
95624021743644
101608967830496
115703a5438254
1221b9b40a2794
13b8956b21a10
1457c3572ab4c
152bcbda59081
hex1769df4bbe0

1608967830496 has 96 divisors (see below), whose sum is σ = 3466019870208. Its totient is φ = 730785369600.

The previous prime is 1608967830461. The next prime is 1608967830539. The reversal of 1608967830496 is 6940387698061.

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, 6601621 + ... + 6841003.

It is an arithmetic number, because the mean of its divisors is an integer number (36104373648).

Almost surely, 21608967830496 is an apocalyptic number.

1608967830496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1608967830496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1733009935104).

1608967830496 is an abundant number, since it is smaller than the sum of its proper divisors (1857052039712).

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

1608967830496 is a wasteful number, since it uses less digits than its factorization.

1608967830496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239664 (or 239656 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 67.

The spelling of 1608967830496 in words is "one trillion, six hundred eight billion, nine hundred sixty-seven million, eight hundred thirty thousand, four hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 104 107 151 208 214 302 416 428 604 856 1208 1391 1712 1963 2416 2782 3424 3926 4832 5564 7852 11128 15704 16157 22256 31408 32314 44512 62816 64628 129256 210041 239383 258512 420082 478766 517024 840164 957532 1680328 1915064 3111979 3360656 3830128 6223958 6721312 7660256 12447916 24895832 25613981 36146833 49791664 51227962 72293666 99583328 102455924 144587332 204911848 289174664 332981753 409823696 469908829 578349328 665963506 819647392 939817658 1156698656 1331927012 1879635316 2663854024 3759270632 3867711131 5327708048 7518541264 7735422262 10655416096 15037082528 15470844524 30941689048 50280244703 61883378096 100560489406 123766756192 201120978812 402241957624 804483915248 1608967830496