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18374133688036 = 2272223213732
BaseRepresentation
bin1000010110110000011111…
…01101100010011011100100
32102001112211222011020021021
410023120033231202123210
54402020211211004121
6103024543244300524
73604326106263400
oct413301755423344
972045758136237
1018374133688036
1159444764aa625
122089044241744
13a3389a524679
1447745451a100
1521ce47a09641
hex10b60fb626e4

18374133688036 has 81 divisors (see below), whose sum is σ = 37600357259241. Its totient is φ = 7833606861024.

The previous prime is 18374133688019. The next prime is 18374133688063. The reversal of 18374133688036 is 63088633147381.

It is a happy number.

The square root of 18374133688036 is 4286506.

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., 18160637940900 + 213495747136 = 4261530^2 + 462056^2 .

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, 13382471046 + ... + 13382472418.

Almost surely, 218374133688036 is an apocalyptic number.

18374133688036 is the 4286506-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18374133688036

18374133688036 is an abundant number, since it is smaller than the sum of its proper divisors (19226223571205).

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

18374133688036 is an frugal number, since it uses more digits than its factorization.

18374133688036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3210 (or 1605 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 61.

The spelling of 18374133688036 in words is "eighteen trillion, three hundred seventy-four billion, one hundred thirty-three million, six hundred eighty-eight thousand, thirty-six".

Divisors: 1 2 4 7 14 28 49 98 196 223 446 892 1373 1561 2746 3122 5492 6244 9611 10927 19222 21854 38444 43708 49729 67277 99458 134554 198916 269108 306179 348103 612358 696206 1224716 1392412 1885129 2143253 2436721 3770258 4286506 4873442 7540516 8573012 9746884 13195903 15002771 26391806 30005542 52783612 60011084 68277917 92371321 136555834 184742642 273111668 369485284 420383767 477945419 840767534 955890838 1681535068 1911781676 2942686369 3345617933 5885372738 6691235866 11770745476 13382471732 20598804583 41197609166 82395218332 93745580041 187491160082 374982320164 656219060287 1312438120574 2624876241148 4593533422009 9187066844018 18374133688036