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2166538957674 = 237132983310511
BaseRepresentation
bin11111100001101111110…
…010001111001101101010
321200010012211021110120120
4133201233302033031222
5240444032433121144
64335143320504110
7312345566200560
oct37415762171552
97603184243516
102166538957674
1176590783a6a3
122aba8161b036
131293c4442100
1476c0a9c9a30
153b553a63e19
hex1f86fc8f36a

2166538957674 has 96 divisors (see below), whose sum is σ = 5367793618944. Its totient is φ = 570811775040.

The previous prime is 2166538957657. The next prime is 2166538957679. The reversal of 2166538957674 is 4767598356612.

It is a junction number, because it is equal to n+sod(n) for n = 2166538957599 and 2166538957608.

It is not an unprimeable number, because it can be changed into a prime (2166538957679) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6822079 + ... + 7132589.

It is an arithmetic number, because the mean of its divisors is an integer number (55914516864).

Almost surely, 22166538957674 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2166538957674, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2683896809472).

2166538957674 is an abundant number, since it is smaller than the sum of its proper divisors (3201254661270).

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

2166538957674 is a wasteful number, since it uses less digits than its factorization.

2166538957674 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311532 (or 311519 counting only the distinct ones).

The product of its digits is 457228800, while the sum is 69.

The spelling of 2166538957674 in words is "two trillion, one hundred sixty-six billion, five hundred thirty-eight million, nine hundred fifty-seven thousand, six hundred seventy-four".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 169 182 273 338 507 546 983 1014 1183 1966 2366 2949 3549 5898 6881 7098 12779 13762 20643 25558 38337 41286 76674 89453 166127 178906 268359 310511 332254 498381 536718 621022 931533 996762 1162889 1863066 2173577 2325778 3488667 4036643 4347154 6520731 6977334 8073286 12109929 13041462 24219858 28256501 52476359 56513002 84769503 104952718 157429077 169539006 305232313 314858154 367334513 610464626 734669026 915696939 1102003539 1831393878 2136626191 2204007078 3968020069 4273252382 6409878573 7936040138 11904060207 12819757146 23808120414 27776140483 51584260897 55552280966 83328421449 103168521794 154752782691 166656842898 309505565382 361089826279 722179652558 1083269478837 2166538957674