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2026429119729 = 327253212792
BaseRepresentation
bin11101011111010000100…
…101100111110011110001
321011201120022220020111100
4131133100211213303301
5231200111323312404
64150532332435013
7266255542213200
oct35372045476361
97151508806440
102026429119729
117114494556a3
1228889b018a69
13119125ba3761
1470118969237
1537aa3397d39
hex1d7d0967cf1

2026429119729 has 81 divisors (see below), whose sum is σ = 3473124370443. Its totient is φ = 1135222923744.

The previous prime is 2026429119703. The next prime is 2026429119731. The reversal of 2026429119729 is 9279119246202.

It is a happy number.

The square root of 2026429119729 is 1423527.

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

2026429119729 is a `hidden beast` number, since 2 + 0 + 2 + 6 + 429 + 1 + 197 + 29 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1460846909025 + 565582210704 = 1208655^2 + 752052^2 .

It is not a de Polignac number, because 2026429119729 - 217 = 2026428988657 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2026429119529) 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, 1584384912 + ... + 1584386190.

Almost surely, 22026429119729 is an apocalyptic number.

2026429119729 is the 1423527-th square number.

2026429119729 is the 711764-th centered octagonal number.

It is an amenable number.

2026429119729 is a deficient number, since it is larger than the sum of its proper divisors (1446695250714).

2026429119729 is an frugal number, since it uses more digits than its factorization.

2026429119729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2684 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 2026429119729 in words is "two trillion, twenty-six billion, four hundred twenty-nine million, one hundred nineteen thousand, seven hundred twenty-nine".

Divisors: 1 3 7 9 21 49 53 63 147 159 371 441 477 1113 1279 2597 2809 3339 3837 7791 8427 8953 11511 19663 23373 25281 26859 58989 62671 67787 80577 137641 176967 188013 203361 412923 474509 564039 610083 1238769 1423527 1635841 3321563 3592711 4270581 4907523 9964689 10778133 11450887 14722569 25148977 29894067 32334399 34352661 75446931 80156209 86699573 103057983 176042839 226340793 240468627 260098719 528128517 606897011 721405881 780296157 1584385551 1820691033 4248279077 4595077369 5462073099 12744837231 13785232107 32165541583 38234511693 41355696321 96496624749 225158791081 289489874247 675476373243 2026429119729