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8946889744 = 241321721072
BaseRepresentation
bin10000101010100011…
…01011010000010000
3212002112011002102211
420111101223100100
5121310400432434
64035442521504
7434466210442
oct102521532020
925075132384
108946889744
113881316761
121898366294
13ac7776300
1460c34c492
153756da464
hex21546b410

8946889744 has 135 divisors (see below), whose sum is σ = 20127798327. Its totient is φ = 3850109952.

The previous prime is 8946889717. The next prime is 8946889753. The reversal of 8946889744 is 4479886498.

It is a happy number.

The square root of 8946889744 is 94588.

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 80784144 + 8866105600 = 8988^2 + 94160^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 8946889744.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 83615739 + ... + 83615845.

Almost surely, 28946889744 is an apocalyptic number.

8946889744 is the 94588-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8946889744

8946889744 is an abundant number, since it is smaller than the sum of its proper divisors (11180908583).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8946889744 is a wasteful number, since it uses less digits than its factorization.

8946889744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 139 counting only the distinct ones).

The product of its digits is 111476736, while the sum is 67.

The cubic root of 8946889744 is about 2075.9841265092.

The spelling of 8946889744 in words is "eight billion, nine hundred forty-six million, eight hundred eighty-nine thousand, seven hundred forty-four".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 107 136 169 208 214 221 272 289 338 428 442 578 676 856 884 1156 1352 1391 1712 1768 1819 2312 2704 2782 2873 3536 3638 3757 4624 5564 5746 7276 7514 11128 11449 11492 14552 15028 18083 22256 22898 22984 23647 29104 30056 30923 36166 45796 45968 47294 48841 60112 61846 72332 91592 94588 97682 123692 144664 148837 183184 189176 194633 195364 247384 289328 297674 307411 378352 389266 390728 401999 494768 595348 614822 778532 781456 803998 1190696 1229644 1557064 1607996 1934881 2381392 2459288 2530229 3114128 3215992 3308761 3869762 4918576 5060458 5225987 6431984 6617522 7739524 10120916 10451974 13235044 15479048 20241832 20903948 26470088 30958096 32892977 40483664 41807896 43013893 52940176 65785954 83615792 86027786 131571908 172055572 263143816 344111144 526287632 559180609 688222288 1118361218 2236722436 4473444872 8946889744