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16344452927166 = 237133337525607
BaseRepresentation
bin1110110111010111110101…
…0011111000111010111110
32010212111220000201111200120
43231311331103320322332
54120241414422132131
654432312113435410
73304563531415650
oct355657523707276
963774800644616
1016344452927166
11523170963a901
1219bb7b826bb66
13917376aa1000
1440710bba26d0
151d5253e62496
hexedd7d4f8ebe

16344452927166 has 128 divisors (see below), whose sum is σ = 40590729553920. Its totient is φ = 4297825598976.

The previous prime is 16344452927147. The next prime is 16344452927183. The reversal of 16344452927166 is 66172925444361.

It is a super-2 number, since 2×163444529271662 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30833535 + ... + 31359141.

It is an arithmetic number, because the mean of its divisors is an integer number (317115074640).

Almost surely, 216344452927166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16344452927166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20295364776960).

16344452927166 is an abundant number, since it is smaller than the sum of its proper divisors (24246276626754).

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

16344452927166 is a wasteful number, since it uses less digits than its factorization.

16344452927166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525995 (or 525969 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 60.

The spelling of 16344452927166 in words is "sixteen trillion, three hundred forty-four billion, four hundred fifty-two million, nine hundred twenty-seven thousand, one hundred sixty-six".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 169 182 273 337 338 507 546 674 1011 1014 1183 2022 2197 2359 2366 3549 4381 4394 4718 6591 7077 7098 8762 13143 13182 14154 15379 26286 30667 30758 46137 56953 61334 92001 92274 113906 170859 184002 341718 398671 525607 740389 797342 1051214 1196013 1480778 1576821 2221167 2392026 3153642 3679249 4442334 5182723 6832891 7358498 10365446 11037747 13665782 15548169 20498673 22075494 31096338 40997346 47830237 88827583 95660474 143490711 177129559 177655166 266482749 286981422 354259118 531388677 532965498 621793081 1062777354 1154758579 1239906913 1243586162 1865379243 2302684267 2309517158 2479813826 3464275737 3719720739 3730758486 4605368534 6908052801 6928551474 7439441478 8083310053 13816105602 16118789869 16166620106 24249930159 29934895471 32237579738 48356369607 48499860318 59869790942 89804686413 96712739214 179609372826 209544268297 389153641123 419088536594 628632804891 778307282246 1167460923369 1257265609782 2334921846738 2724075487861 5448150975722 8172226463583 16344452927166