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82501615616 = 2147811887
BaseRepresentation
bin100110011010101111…
…0101100000000000000
321212221200100022111012
41030311132230000000
52322430403144431
6101522315540052
75650316106410
oct1146536540000
9255850308435
1082501615616
1131a97013a02
1213ba575a628
137a1a4ab744
143dc90ca640
15222ce1822b
hex13357ac000

82501615616 has 120 divisors (see below), whose sum is σ = 189014735616. Its totient is φ = 35274424320.

The previous prime is 82501615591. The next prime is 82501615631. The reversal of 82501615616 is 61651610528.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93011525 + ... + 93012411.

Almost surely, 282501615616 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 82501615616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94507367808).

82501615616 is an abundant number, since it is smaller than the sum of its proper divisors (106513120000).

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

82501615616 is an frugal number, since it uses more digits than its factorization.

82501615616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1733 (or 1707 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 41.

The spelling of 82501615616 in words is "eighty-two billion, five hundred one million, six hundred fifteen thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 811 887 896 1024 1622 1774 1792 2048 3244 3548 3584 4096 5677 6209 6488 7096 7168 8192 11354 12418 12976 14192 14336 16384 22708 24836 25952 28384 28672 45416 49672 51904 56768 57344 90832 99344 103808 113536 114688 181664 198688 207616 227072 363328 397376 415232 454144 719357 726656 794752 830464 908288 1438714 1453312 1589504 1660928 1816576 2877428 2906624 3179008 3321856 3633152 5035499 5754856 5813248 6358016 6643712 7266304 10070998 11509712 11626496 12716032 13287424 14532608 20141996 23019424 23252992 25432064 40283992 46038848 46505984 50864128 80567984 92077696 93011968 101728256 161135968 184155392 322271936 368310784 644543872 736621568 1289087744 1473243136 2578175488 2946486272 5156350976 5892972544 10312701952 11785945088 20625403904 41250807808 82501615616