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9346794290416 = 241117131213711159
BaseRepresentation
bin1000100000000011100001…
…0110100111110011110000
31020002112201011110002212201
42020000320112213303300
52211114213314243131
631513505155432544
71653166163413402
oct210007026476360
936075634402781
109346794290416
112a83a53785410
12106b57a5b5754
1352a525570a2b
1424455c8c4b72
151131e90a5761
hex880385a7cf0

9346794290416 has 160 divisors (see below), whose sum is σ = 21089256629760. Its totient is φ = 3965892403200.

The previous prime is 9346794290401. The next prime is 9346794290443. The reversal of 9346794290416 is 6140924976439.

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, 837595845 + ... + 837607003.

It is an arithmetic number, because the mean of its divisors is an integer number (131807853936).

Almost surely, 29346794290416 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 9346794290416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10544628314880).

9346794290416 is an abundant number, since it is smaller than the sum of its proper divisors (11742462339344).

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

9346794290416 is a wasteful number, since it uses less digits than its factorization.

9346794290416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13463 (or 13457 counting only the distinct ones).

The product of its (nonzero) digits is 70543872, while the sum is 64.

The spelling of 9346794290416 in words is "nine trillion, three hundred forty-six billion, seven hundred ninety-four million, two hundred ninety thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 16 17 22 34 44 68 88 131 136 176 187 262 272 374 524 748 1048 1441 1496 2096 2137 2227 2882 2992 4274 4454 5764 8548 8908 11159 11528 17096 17816 22318 23056 23507 24497 34192 35632 36329 44636 47014 48994 72658 89272 94028 97988 122749 145316 178544 188056 189703 195976 245498 279947 290632 376112 379406 391952 399619 490996 559894 581264 758812 799238 981992 1119788 1461829 1517624 1598476 1963984 2086733 2239576 2923658 3035248 3079417 3196952 4173466 4479152 4759099 5847316 6158834 6393904 8346932 9518198 11694632 12317668 16080119 16693864 19036396 23389264 23846783 24635336 24851093 32160238 33387728 38072792 47693566 49270672 49702186 52350089 64320476 76145584 95387132 99404372 104700178 128640952 190774264 198808744 209400356 257281904 262314613 273362023 381548528 397617488 405395311 418800712 524629226 546724046 810790622 837601424 1049258452 1093448092 1621581244 2098516904 2186896184 3123928573 3243162488 4197033808 4373792368 4459348421 6247857146 6486324976 8918696842 12495714292 17837393684 24991428584 34363214303 35674787368 49982857168 53106785741 68726428606 71349574736 106213571482 137452857212 212427142964 274905714424 424854285928 549811428848 584174643151 849708571856 1168349286302 2336698572604 4673397145208 9346794290416