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36213328804 = 221722921932
BaseRepresentation
bin100001101110011110…
…111000101110100100
310110110202202201011011
4201232132320232210
51043131103010204
624345225152004
72421254134042
oct415636705644
9113422681134
1036213328804
11143a3530a14
12702792b604
133551703c13
141a77709392
15e1e350304
hex86e7b8ba4

36213328804 has 81 divisors (see below), whose sum is σ = 70085021097. Its totient is φ = 16368672768.

The previous prime is 36213328799. The next prime is 36213328817. The reversal of 36213328804 is 40882331263.

The square root of 36213328804 is 190298.

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

It can be written as a sum of positive squares in 13 ways, for example, as 16332328804 + 19881000000 = 127798^2 + 141000^2 .

It is a super-2 number, since 2×362133288042 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 187633732 + ... + 187633924.

Almost surely, 236213328804 is an apocalyptic number.

36213328804 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

36213328804 is the 190298-th square number.

It is an amenable number.

36213328804 is a deficient number, since it is larger than the sum of its proper divisors (33871692293).

36213328804 is a wasteful number, since it uses less digits than its factorization.

36213328804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 40.

The spelling of 36213328804 in words is "thirty-six billion, two hundred thirteen million, three hundred twenty-eight thousand, eight hundred four".

Divisors: 1 2 4 17 29 34 58 68 116 193 289 386 493 578 772 841 986 1156 1682 1972 3281 3364 5597 6562 8381 11194 13124 14297 16762 22388 28594 33524 37249 55777 57188 74498 95149 111554 148996 162313 190298 223108 243049 324626 380596 486098 633233 649252 972196 1080221 1266466 1617533 2160442 2532932 2759321 3235066 4320884 5518642 6470132 10764961 11037284 18363757 21529922 31326409 36727514 43059844 46908457 62652818 73455028 93816914 125305636 187633828 312183869 532548953 624367738 1065097906 1248735476 2130195812 9053332201 18106664402 36213328804