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51910754486656 = 271359717447211
BaseRepresentation
bin10111100110110011010100…
…00101001100100110000000
320210210121201201211022002211
423303121222011030212000
523301001211122033111
6302223245453151504
713635266613526162
oct1363315205144600
9223717651738084
1051910754486656
11155a425566287a
1259a479a78b594
1322c7217570a90
14cb66cb478932
156004b7b47521
hex2f366a14c980

51910754486656 has 128 divisors (see below), whose sum is σ = 114853882348800. Its totient is φ = 23220996556800.

The previous prime is 51910754486629. The next prime is 51910754486671. The reversal of 51910754486656 is 65668445701915.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 51910754486591 and 51910754486600.

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, 3246891 + ... + 10694101.

It is an arithmetic number, because the mean of its divisors is an integer number (897295955850).

Almost surely, 251910754486656 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 51910754486656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57426941174400).

51910754486656 is an abundant number, since it is smaller than the sum of its proper divisors (62943127862144).

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

51910754486656 is a wasteful number, since it uses less digits than its factorization.

51910754486656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7447368 (or 7447356 counting only the distinct ones).

The product of its (nonzero) digits is 217728000, while the sum is 67.

The spelling of 51910754486656 in words is "fifty-one trillion, nine hundred ten billion, seven hundred fifty-four million, four hundred eighty-six thousand, six hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 32 52 59 64 71 104 118 128 142 208 236 284 416 472 568 767 832 923 944 1136 1534 1664 1846 1888 2272 3068 3692 3776 4189 4544 6136 7384 7552 8378 9088 12272 14768 16756 24544 29536 33512 49088 54457 59072 67024 98176 108914 118144 134048 217828 268096 435656 536192 871312 1742624 3485248 6970496 7447211 14894422 29788844 59577688 96813743 119155376 193627486 238310752 387254972 439385449 476621504 528751981 774509944 878770898 953243008 1057503962 1549019888 1757541796 2115007924 3098039776 3515083592 4230015848 5712010837 6196079552 6873775753 7030167184 8460031696 11424021674 12392159104 13747551506 14060334368 16920063392 22848043348 27495103012 28120668736 31196366879 33840126784 45696086696 54990206024 56241337472 62392733758 67680253568 91392173392 109980412048 124785467516 182784346784 219960824096 249570935032 365568693568 405552769427 439921648192 499141870064 731137387136 811105538854 879843296384 998283740128 1622211077708 1996567480256 3244422155416 3993134960512 6488844310832 12977688621664 25955377243328 51910754486656