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34796425444 = 221126121392
BaseRepresentation
bin100000011010000001…
…110101000011100100
310022211000121120010221
4200122001311003210
51032230341103234
623552452054124
72341200510334
oct403201650344
9108730546127
1034796425444
1113836747500
1268b1304344
133386cb7671
1419814770c4
15d89c6beb4
hex81a0750e4

34796425444 has 81 divisors (see below), whose sum is σ = 68541116553. Its totient is φ = 15445346400.

The previous prime is 34796425439. The next prime is 34796425453. The reversal of 34796425444 is 44452469743.

The square root of 34796425444 is 186538.

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., 1131515044 + 33664910400 = 33638^2 + 183480^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34796425391 and 34796425400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 250333927 + ... + 250334065.

Almost surely, 234796425444 is an apocalyptic number.

34796425444 is the 186538-th square number.

It is an amenable number.

34796425444 is a deficient number, since it is larger than the sum of its proper divisors (33744691109).

34796425444 is a wasteful number, since it uses less digits than its factorization.

34796425444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 213 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 52.

The spelling of 34796425444 in words is "thirty-four billion, seven hundred ninety-six million, four hundred twenty-five thousand, four hundred forty-four".

Divisors: 1 2 4 11 22 44 61 121 122 139 242 244 278 484 556 671 1342 1529 2684 3058 3721 6116 7381 7442 8479 14762 14884 16819 16958 19321 29524 33638 33916 38642 40931 67276 77284 81862 93269 163724 186538 212531 373076 425062 450241 517219 850124 900482 1025959 1034438 1178581 1800964 2051918 2068876 2337841 2357162 4103836 4675682 4714324 5689409 9351364 11378818 12964391 22757636 25928782 51857564 62583499 71893441 125166998 142608301 143786882 250333996 285216602 287573764 570433204 790827851 1581655702 3163311404 8699106361 17398212722 34796425444