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2151666104 = 2373183109137
BaseRepresentation
bin1000000000111111…
…1101000110111000
312112221201222000012
42000033331012320
513401311303404
6553301401052
7104214601010
oct20017750670
95487658005
102151666104
11a04617655
12500709188
13283a0a713
14165a98c40
15c8d70a6e
hex803fd1b8

2151666104 has 128 divisors (see below), whose sum is σ = 4896460800. Its totient is φ = 867179520.

The previous prime is 2151666071. The next prime is 2151666133. The reversal of 2151666104 is 4016661512.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15705524 + ... + 15705660.

It is an arithmetic number, because the mean of its divisors is an integer number (38253600).

Almost surely, 22151666104 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 2151666104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2448230400).

2151666104 is an abundant number, since it is smaller than the sum of its proper divisors (2744794696).

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

2151666104 is a wasteful number, since it uses less digits than its factorization.

2151666104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 2151666104 is about 46386.0550596836. The cubic root of 2151666104 is about 1290.9961866215.

The spelling of 2151666104 in words is "two billion, one hundred fifty-one million, six hundred sixty-six thousand, one hundred four".

Divisors: 1 2 4 7 8 14 28 31 56 62 83 109 124 137 166 217 218 248 274 332 434 436 548 581 664 763 868 872 959 1096 1162 1526 1736 1918 2324 2573 3052 3379 3836 4247 4648 5146 6104 6758 7672 8494 9047 10292 11371 13516 14933 16988 18011 18094 20584 22742 23653 27032 29729 29866 33976 36022 36188 45484 47306 59458 59732 63329 72044 72376 79597 90968 94612 104531 118916 119464 126658 144088 159194 189224 209062 237832 253316 280457 318388 352501 418124 462923 506632 560914 636776 705002 836248 925846 1121828 1239439 1410004 1851692 1963199 2243656 2467507 2478878 2820008 3240461 3703384 3926398 4935014 4957756 6480922 7852796 8676073 9870028 9915512 12961844 15705592 17352146 19740056 25923688 34704292 38422609 69408584 76845218 153690436 268958263 307380872 537916526 1075833052 2151666104