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121973337575716 = 221144729712
BaseRepresentation
bin11011101110111100100001…
…011101010101000100100100
3120222212112111121120101200211
4123232330201131111010210
5111441402343404410331
61111225435553345204
734456166003625634
oct3356744135250444
9528775447511624
10121973337575716
1135956669250000
121181b2bbb68204
13530a061c06513
1422197808726c4
15e17c16a308b1
hex6eef21755124

121973337575716 has 135 divisors (see below), whose sum is σ = 240146512058635. Its totient is φ = 54206916662800.

The previous prime is 121973337575699. The next prime is 121973337575731. The reversal of 121973337575716 is 617575733379121.

It is a happy number.

The square root of 121973337575716 is 11044154.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 125616207111 + ... + 125616208081.

Almost surely, 2121973337575716 is an apocalyptic number.

121973337575716 is the 11044154-th square number.

It is an amenable number.

121973337575716 is a deficient number, since it is larger than the sum of its proper divisors (118173174482919).

121973337575716 is an frugal number, since it uses more digits than its factorization.

121973337575716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2084 (or 1031 counting only the distinct ones).

The product of its digits is 175032900, while the sum is 67.

The spelling of 121973337575716 in words is "one hundred twenty-one trillion, nine hundred seventy-three billion, three hundred thirty-seven million, five hundred seventy-five thousand, seven hundred sixteen".

Divisors: 1 2 4 11 22 44 47 94 121 188 242 484 517 971 1034 1331 1942 2068 2209 2662 3884 4418 5324 5687 8836 10681 11374 14641 21362 22748 24299 29282 42724 45637 48598 58564 62557 91274 97196 117491 125114 182548 234982 250228 267289 469964 502007 534578 688127 942841 1004014 1069156 1292401 1376254 1885682 2008028 2144939 2584802 2752508 2940179 3771364 4289878 5169604 5522077 5880358 8579756 10371251 11044154 11760716 14216411 20742502 22088308 23594329 28432822 32341969 41485004 44313527 47188658 56865644 60742847 64683938 88627054 94377316 114083761 121485694 129367876 177254108 228167522 242971388 259537619 456335044 487448797 519075238 668171317 974897594 1038150476 1254921371 1336342634 1949795188 2082735769 2509842742 2672685268 2854913809 4165471538 5019685484 5361936767 5709827618 8330943076 10723873534 11419655236 13804135081 21447747068 22910093459 27608270162 31404051899 45820186918 55216540324 58981304437 62808103798 91640373836 117962608874 125616207596 235925217748 252011028049 504022056098 648794348807 1008044112196 1297588697614 2595177395228 2772121308539 5544242617078 11088485234156 30493334393929 60986668787858 121973337575716