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319650021376 = 214726312
BaseRepresentation
bin1001010011011001010…
…00000100000000000000
31010120001221220112120121
410221230220010000000
520214120401141001
6402502321150024
732044140231400
oct4515450040000
91116057815517
10319650021376
11113621116194
1251b4a18b314
13241b1b59caa
1411684b64800
1584ac8476a1
hex4a6ca04000

319650021376 has 135 divisors (see below), whose sum is σ = 744833263167. Its totient is φ = 136775761920.

The previous prime is 319650021373. The next prime is 319650021401. The reversal of 319650021376 is 673120056913.

The square root of 319650021376 is 565376.

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

It is a super-2 number, since 2×3196500213762 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (319650021371) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 506576581 + ... + 506577211.

Almost surely, 2319650021376 is an apocalyptic number.

319650021376 is the 565376-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 319650021376

319650021376 is an abundant number, since it is smaller than the sum of its proper divisors (425183241791).

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

319650021376 is an frugal number, since it uses more digits than its factorization.

319650021376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1304 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 43.

The spelling of 319650021376 in words is "three hundred nineteen billion, six hundred fifty million, twenty-one thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 631 784 896 1024 1262 1568 1792 2048 2524 3136 3584 4096 4417 5048 6272 7168 8192 8834 10096 12544 14336 16384 17668 20192 25088 28672 30919 35336 40384 50176 57344 61838 70672 80768 100352 114688 123676 141344 161536 200704 247352 282688 323072 398161 401408 494704 565376 646144 796322 802816 989408 1130752 1292288 1592644 1978816 2261504 2584576 2787127 3185288 3957632 4523008 5169152 5574254 6370576 7915264 9046016 10338304 11148508 12741152 15830528 18092032 19509889 22297016 25482304 31661056 36184064 39019778 44594032 50964608 63322112 72368128 78039556 89188064 101929216 126644224 156079112 178376128 203858432 253288448 312158224 356752256 407716864 506576896 624316448 713504512 815433728 1248632896 1427009024 1630867456 2497265792 2854018048 3261734912 4994531584 5708036096 6523469824 9989063168 11416072192 19978126336 22832144384 39956252672 45664288768 79912505344 159825010688 319650021376