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2139979859689 = 721721926472
BaseRepresentation
bin11111001001000000101…
…111010100011011101001
321120120122212122111101211
4133021000233110123221
5240030134321002224
64315032043113121
7310415460452200
oct37110057243351
97516585574354
102139979859689
11755618929241
122a68aab127a1
13126a50bc4109
147580b558237
153a9ec071894
hex1f240bd46e9

2139979859689 has 81 divisors (see below), whose sum is σ = 2795236310583. Its totient is φ = 1632980877696.

The previous prime is 2139979859659. The next prime is 2139979859747. The reversal of 2139979859689 is 9869589799312.

The square root of 2139979859689 is 1462867.

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

It can be written as a sum of positive squares in only one way, i.e., 1666074285225 + 473905574464 = 1290765^2 + 688408^2 .

It is not a de Polignac number, because 2139979859689 - 29 = 2139979859177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2139979859659) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3307541964 + ... + 3307542610.

Almost surely, 22139979859689 is an apocalyptic number.

2139979859689 is the 1462867-th square number.

2139979859689 is the 731434-th centered octagonal number.

It is an amenable number.

2139979859689 is a deficient number, since it is larger than the sum of its proper divisors (655256450894).

2139979859689 is an frugal number, since it uses more digits than its factorization.

2139979859689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380 (or 690 counting only the distinct ones).

The product of its digits is 4761711360, while the sum is 85.

The spelling of 2139979859689 in words is "two trillion, one hundred thirty-nine billion, nine hundred seventy-nine million, eight hundred fifty-nine thousand, six hundred eighty-nine".

Divisors: 1 7 17 19 49 119 133 289 323 361 647 833 931 2023 2261 2527 4529 5491 6137 10999 12293 14161 15827 17689 31703 38437 42959 76993 86051 104329 186983 208981 233567 269059 300713 418609 538951 602357 730303 1308881 1462867 1634969 2930263 3552677 3970639 5112121 7116353 7953571 9162167 10240069 11444783 20511841 24868739 27794473 49814471 55674997 67500863 120978001 135210707 151117849 174081173 194561311 348701297 389724979 472506041 846846007 946474949 1057824943 2298582019 2569003433 3307542287 5927922049 6625324643 7404774601 16090074133 17983024031 43673058361 112630518931 125881168217 305711408527 2139979859689