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423965519318929 = 721217224172
BaseRepresentation
bin110000001100110000010101…
…0001011010000111110010001
32001121010201002222221020102211
41200121200222023100332101
5421032222340421201204
64101411023142312121
7155205332541012400
oct14031405213207621
92047121088836384
10423965519318929
111130a7848996265
123b673436728641
1315274a13b93a43
14769a07d67d637
1534034b1cc1804
hex181982a2d0f91

423965519318929 has 27 divisors (see below), whose sum is σ = 493794259046193. Its totient is φ = 362950186518528.

The previous prime is 423965519318923. The next prime is 423965519318963. The reversal of 423965519318929 is 929813915569324.

The square root of 423965519318929 is 20590423.

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

It can be written as a sum of positive squares in 4 ways, for example, as 81864982997329 + 342100536321600 = 9047927^2 + 18495960^2 .

It is not a de Polignac number, because 423965519318929 - 23 = 423965519318921 is a prime.

It is not an unprimeable number, because it can be changed into a prime (423965519318921) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 175409812329 + ... + 175409814745.

Almost surely, 2423965519318929 is an apocalyptic number.

423965519318929 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

423965519318929 is the 20590423-rd square number.

423965519318929 is the 10295212-nd centered octagonal number.

It is an amenable number.

423965519318929 is a deficient number, since it is larger than the sum of its proper divisors (69828739727264).

423965519318929 is an frugal number, since it uses more digits than its factorization.

423965519318929 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7282 (or 3641 counting only the distinct ones).

The product of its digits is 1133740800, while the sum is 76.

The spelling of 423965519318929 in words is "four hundred twenty-three trillion, nine hundred sixty-five billion, five hundred nineteen million, three hundred eighteen thousand, nine hundred twenty-nine".

Divisors: 1 7 49 1217 2417 8519 16919 59633 118433 1481089 2941489 5841889 10367623 20590423 40893223 72573361 144132961 286252561 3579792113 7109578913 25058544791 49767052391 175409813537 348369366737 8652357537121 60566502759847 423965519318929