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18863374336 = 214292372
BaseRepresentation
bin10001100100010110…
…000100000000000000
31210200121202200221221
4101210112010000000
5302113010434321
612355443324424
71235311015312
oct214426040000
953617680857
1018863374336
117aaa979374
1237a5380714
131a18072281
14cad3717b2
1575609ce41
hex464584000

18863374336 has 135 divisors (see below), whose sum is σ = 40155860199. Its totient is φ = 8860336128.

The previous prime is 18863374333. The next prime is 18863374337. The reversal of 18863374336 is 63347336881.

It is a happy number.

The square root of 18863374336 is 137344.

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 4014489600 + 14848884736 = 63360^2 + 121856^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (18863374333) 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, 509820910 + ... + 509820946.

Almost surely, 218863374336 is an apocalyptic number.

18863374336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

18863374336 is the 137344-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18863374336

18863374336 is an abundant number, since it is smaller than the sum of its proper divisors (21292485863).

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

18863374336 is an frugal number, since it uses more digits than its factorization.

18863374336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 68 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 52.

The spelling of 18863374336 in words is "eighteen billion, eight hundred sixty-three million, three hundred seventy-four thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 29 32 37 58 64 74 116 128 148 232 256 296 464 512 592 841 928 1024 1073 1184 1369 1682 1856 2048 2146 2368 2738 3364 3712 4096 4292 4736 5476 6728 7424 8192 8584 9472 10952 13456 14848 16384 17168 18944 21904 26912 29696 31117 34336 37888 39701 43808 53824 59392 62234 68672 75776 79402 87616 107648 118784 124468 137344 151552 158804 175232 215296 237568 248936 274688 303104 317608 350464 430592 475136 497872 549376 606208 635216 700928 861184 995744 1098752 1151329 1270432 1401856 1722368 1991488 2197504 2302658 2540864 2803712 3444736 3982976 4395008 4605316 5081728 5607424 6889472 7965952 8790016 9210632 10163456 11214848 13778944 15931904 17580032 18421264 20326912 22429696 31863808 36842528 40653824 63727616 73685056 81307648 127455232 147370112 162615296 254910464 294740224 325230592 509820928 589480448 650461184 1178960896 2357921792 4715843584 9431687168 18863374336