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53285979552 = 25313184723117
BaseRepresentation
bin110001101000000101…
…111000010110100000
312002112120222020011020
4301220011320112200
51333112202321202
640251303245440
73564322232031
oct615005702640
9162476866136
1053285979552
1120664601133
12a3b1449880
135042783520
142816cdaa88
1515bd0c85bc
hexc681785a0

53285979552 has 96 divisors (see below), whose sum is σ = 150723441792. Its totient is φ = 16386100224.

The previous prime is 53285979497. The next prime is 53285979557. The reversal of 53285979552 is 25597958235.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×532859795523 (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (53285979557) 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, 2293498 + ... + 2316614.

It is an arithmetic number, because the mean of its divisors is an integer number (1570035852).

Almost surely, 253285979552 is an apocalyptic number.

53285979552 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53285979552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75361720896).

53285979552 is an abundant number, since it is smaller than the sum of its proper divisors (97437462240).

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

53285979552 is a wasteful number, since it uses less digits than its factorization.

53285979552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24990 (or 24982 counting only the distinct ones).

The product of its digits is 34020000, while the sum is 60.

The spelling of 53285979552 in words is "fifty-three billion, two hundred eighty-five million, nine hundred seventy-nine thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 1847 3694 5541 7388 11082 14776 22164 23117 24011 29552 44328 46234 48022 59104 69351 72033 88656 92468 96044 138702 144066 177312 184936 192088 277404 288132 300521 369872 384176 554808 576264 601042 739744 768352 901563 1109616 1152528 1202084 1803126 2219232 2305056 2404168 3606252 4808336 7212504 9616672 14425008 28850016 42697099 85394198 128091297 170788396 256182594 341576792 512365188 555062287 683153584 1024730376 1110124574 1366307168 1665186861 2049460752 2220249148 3330373722 4098921504 4440498296 6660747444 8880996592 13321494888 17761993184 26642989776 53285979552