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53180295552 = 273335942863
BaseRepresentation
bin110001100001110010…
…101110100110000000
312002021020002220222000
4301201302232212000
51332403123424202
640233010144000
73561600024306
oct614162564600
9162236086860
1053180295552
112060a98818a
12a381b82000
1350268cc807
142806c6a276
1515b3b9e91c
hexc61cae980

53180295552 has 128 divisors (see below), whose sum is σ = 157396608000. Its totient is φ = 17676974592.

The previous prime is 53180295551. The next prime is 53180295569. The reversal of 53180295552 is 25559208135.

It is a happy number.

53180295552 is a `hidden beast` number, since 5 + 3 + 1 + 8 + 0 + 2 + 95 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 53180295498 and 53180295507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53180295551) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1219273 + ... + 1262135.

It is an arithmetic number, because the mean of its divisors is an integer number (1229661000).

Almost surely, 253180295552 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 53180295552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78698304000).

53180295552 is an abundant number, since it is smaller than the sum of its proper divisors (104216312448).

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

53180295552 is a wasteful number, since it uses less digits than its factorization.

53180295552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43245 (or 43227 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 45.

The spelling of 53180295552 in words is "fifty-three billion, one hundred eighty million, two hundred ninety-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 359 384 432 576 718 864 1077 1152 1436 1728 2154 2872 3231 3456 4308 5744 6462 8616 9693 11488 12924 17232 19386 22976 25848 34464 38772 42863 45952 51696 68928 77544 85726 103392 128589 137856 155088 171452 206784 257178 310176 342904 385767 413568 514356 620352 685808 771534 1028712 1157301 1240704 1371616 1543068 2057424 2314602 2743232 3086136 4114848 4629204 5486464 6172272 8229696 9258408 12344544 15387817 16459392 18516816 24689088 30775634 37033632 46163451 49378176 61551268 74067264 92326902 123102536 138490353 148134528 184653804 246205072 276980706 369307608 415471059 492410144 553961412 738615216 830942118 984820288 1107922824 1477230432 1661884236 1969640576 2215845648 2954460864 3323768472 4431691296 5908921728 6647536944 8863382592 13295073888 17726765184 26590147776 53180295552