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666121156117614 = 233233893109443467
BaseRepresentation
bin1001011101110101010110101…
…0111000110100010001101110
310020100112120010200102201022000
42113131111222320310101232
51144302212111431230424
610320415500134033130
7260210444136022551
oct22735255270642156
93210476120381260
10666121156117614
1118327943998191a
12628628ab4a87a6
132278bc562a0a12
14ba6c616486698
15520251742c3c9
hex25dd56ae3446e

666121156117614 has 128 divisors (see below), whose sum is σ = 1549101131136000. Its totient is φ = 211771859612544.

The previous prime is 666121156117559. The next prime is 666121156117733. The reversal of 666121156117614 is 416711651121666.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 1501854309 + ... + 1502297775.

It is an arithmetic number, because the mean of its divisors is an integer number (12102352587000).

Almost surely, 2666121156117614 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 666121156117614, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774550565568000).

666121156117614 is an abundant number, since it is smaller than the sum of its proper divisors (882979975018386).

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

666121156117614 is a wasteful number, since it uses less digits than its factorization.

666121156117614 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446999 (or 446993 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The spelling of 666121156117614 in words is "six hundred sixty-six trillion, one hundred twenty-one billion, one hundred fifty-six million, one hundred seventeen thousand, six hundred fourteen".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 138 207 389 414 621 778 1167 1242 2334 3109 3501 6218 7002 8947 9327 10503 17894 18654 21006 26841 27981 53682 55962 71507 80523 83943 143014 161046 167886 214521 241569 429042 443467 483138 643563 886934 1209401 1287126 1330401 1930689 2418802 2660802 3628203 3861378 3991203 7256406 7982406 10199741 10884609 11973609 20399482 21769218 23947218 27816223 30599223 32653827 55632446 61198446 65307654 83448669 91797669 166897338 172508663 183595338 250346007 275393007 345017326 500692014 517525989 550786014 751038021 1035051978 1378738903 1502076042 1552577967 2757477806 3105155934 3967699249 4136216709 4657733901 7935398498 8272433418 9315467802 11903097747 12408650127 23806195494 24817300254 31710994769 35709293241 37225950381 63421989538 71418586482 74451900762 95132984307 107127879723 190265968614 214255759446 285398952921 536329433267 570797905842 856196858763 1072658866534 1608988299801 1712393717526 3217976599602 4826964899403 9653929798806 12335576965141 14480894698209 24671153930282 28961789396418 37006730895423 74013461790846 111020192686269 222040385372538 333060578058807 666121156117614