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53168259520 = 2658312891553
BaseRepresentation
bin110001100001000100…
…110100000111000000
312002020101110102122001
4301201010310013000
51332342033301040
640231500153344
73561362514655
oct614104640700
9162211412561
1053168259520
1120604107352
12a379b38854
1350242772bc
142805415c2c
1515b2ac359a
hexc611341c0

53168259520 has 112 divisors (see below), whose sum is σ = 128314277280. Its totient is φ = 20981252096.

The previous prime is 53168259503. The next prime is 53168259527. The reversal of 53168259520 is 2595286135.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53168259527) 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, 34235064 + ... + 34236616.

It is an arithmetic number, because the mean of its divisors is an integer number (1145663190).

Almost surely, 253168259520 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 53168259520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64157138640).

53168259520 is an abundant number, since it is smaller than the sum of its proper divisors (75146017760).

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

53168259520 is a wasteful number, since it uses less digits than its factorization.

53168259520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2942 (or 2932 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 46.

The spelling of 53168259520 in words is "fifty-three billion, one hundred sixty-eight million, two hundred fifty-nine thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 83 160 166 320 332 415 664 830 1289 1328 1553 1660 2578 2656 3106 3320 5156 5312 6212 6445 6640 7765 10312 12424 12890 13280 15530 20624 24848 25780 26560 31060 41248 49696 51560 62120 82496 99392 103120 106987 124240 128899 206240 213974 248480 257798 412480 427948 496960 515596 534935 644495 855896 1031192 1069870 1288990 1711792 2001817 2062384 2139740 2577980 3423584 4003634 4124768 4279480 5155960 6847168 8007268 8249536 8558960 10009085 10311920 16014536 17117920 20018170 20623840 32029072 34235840 40036340 41247680 64058144 80072680 128116288 160145360 166150811 320290720 332301622 640581440 664603244 830754055 1329206488 1661508110 2658412976 3323016220 5316825952 6646032440 10633651904 13292064880 26584129760 53168259520