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53358228036 = 22344123132
BaseRepresentation
bin110001101100011001…
…011111001001000100
312002201121220211110000
4301230121133021010
51333234201244121
640302404001300
73566160312021
oct615431371104
9162647824400
1053358228036
11206a1368523
12a411690230
13505472b5c9
142822746548
1515c45ea526
hexc6c65f244

53358228036 has 135 divisors (see below), whose sum is σ = 143432342823. Its totient is φ = 17296830720.

The previous prime is 53358228017. The next prime is 53358228041. The reversal of 53358228036 is 63082285335.

The square root of 53358228036 is 230994.

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

53358228036 is a `hidden beast` number, since 5 + 33 + 582 + 2 + 8 + 0 + 36 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 48659948100 + 4698279936 = 220590^2 + 68544^2 .

It is a junction number, because it is equal to n+sod(n) for n = 53358227982 and 53358228000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 170473416 + ... + 170473728.

Almost surely, 253358228036 is an apocalyptic number.

53358228036 is the 230994-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53358228036

53358228036 is an abundant number, since it is smaller than the sum of its proper divisors (90074114787).

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

53358228036 is an equidigital number, since it uses as much as digits as its factorization.

53358228036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 53358228036 in words is "fifty-three billion, three hundred fifty-eight million, two hundred twenty-eight thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 81 82 108 123 162 164 246 313 324 369 492 626 738 939 1107 1252 1476 1681 1878 2214 2817 3321 3362 3756 4428 5043 5634 6642 6724 8451 10086 11268 12833 13284 15129 16902 20172 25353 25666 30258 33804 38499 45387 50706 51332 60516 76998 90774 97969 101412 115497 136161 153996 181548 195938 230994 272322 293907 346491 391876 461988 526153 544644 587814 692982 881721 1039473 1052306 1175628 1385964 1578459 1763442 2078946 2104612 2645163 3156918 3526884 4016729 4157892 4735377 5290326 6313836 7935489 8033458 9470754 10580652 12050187 14206131 15870978 16066916 18941508 24100374 28412262 31741956 36150561 42618393 48200748 56824524 72301122 85236786 108451683 144602244 164685889 170473572 216903366 325355049 329371778 433806732 494057667 650710098 658743556 988115334 1301420196 1482173001 1976230668 2964346002 4446519003 5928692004 8893038006 13339557009 17786076012 26679114018 53358228036