Search a number
-
+
53362671360 = 283556324683
BaseRepresentation
bin110001101100101010…
…011011111100000000
312002201221021120112120
4301230222123330000
51333241320440420
640303043124240
73566243136225
oct615452337400
9162657246476
1053362671360
11206a3922899
12a413073680
135055625bab
14282318194c
1515c4bc6d40
hexc6ca9bf00

53362671360 has 144 divisors (see below), whose sum is σ = 170736660864. Its totient is φ = 14204194816.

The previous prime is 53362671359. The next prime is 53362671377. The reversal of 53362671360 is 6317626335.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 2149579 + ... + 2174261.

It is an arithmetic number, because the mean of its divisors is an integer number (1185671256).

Almost surely, 253362671360 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53362671360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85368330432).

53362671360 is an abundant number, since it is smaller than the sum of its proper divisors (117373989504).

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

53362671360 is a wasteful number, since it uses less digits than its factorization.

53362671360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25270 (or 25256 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 42.

The spelling of 53362671360 in words is "fifty-three billion, three hundred sixty-two million, six hundred seventy-one thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 563 640 768 960 1126 1280 1689 1920 2252 2815 3378 3840 4504 5630 6756 8445 9008 11260 13512 16890 18016 22520 24683 27024 33780 36032 45040 49366 54048 67560 72064 74049 90080 98732 108096 123415 135120 144128 148098 180160 197464 216192 246830 270240 296196 360320 370245 394928 432384 493660 540480 592392 720640 740490 789856 987320 1080960 1184784 1480980 1579712 1974640 2161920 2369568 2961960 3159424 3949280 4739136 5923920 6318848 7898560 9478272 11847840 13896529 15797120 18956544 23695680 27793058 31594240 41689587 47391360 55586116 69482645 83379174 94782720 111172232 138965290 166758348 208447935 222344464 277930580 333516696 416895870 444688928 555861160 667033392 833791740 889377856 1111722320 1334066784 1667583480 1778755712 2223444640 2668133568 3335166960 3557511424 4446889280 5336267136 6670333920 8893778560 10672534272 13340667840 17787557120 26681335680 53362671360