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52071001216 = 2713103330293
BaseRepresentation
bin110000011111101011…
…000110110010000000
311222101220202221012121
4300133223012302000
51323120134014331
635530542134024
73522240131113
oct603753066200
9158356687177
1052071001216
11200a07a4a03
12a112581314
134baab46530
14273d7cc57a
15154b5cec11
hexc1fac6c80

52071001216 has 64 divisors (see below), whose sum is σ = 111826665720. Its totient is φ = 24008712192.

The previous prime is 52071001183. The next prime is 52071001217. The reversal of 52071001216 is 61210017025.

It can be written as a sum of positive squares in 4 ways, for example, as 46638721600 + 5432279616 = 215960^2 + 73704^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×520710012162 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (52071001217) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1703766 + ... + 1734058.

Almost surely, 252071001216 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 52071001216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55913332860).

52071001216 is an abundant number, since it is smaller than the sum of its proper divisors (59755664504).

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

52071001216 is a wasteful number, since it uses less digits than its factorization.

52071001216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31353 (or 31341 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 25.

The spelling of 52071001216 in words is "fifty-two billion, seventy-one million, one thousand, two hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1033 1664 2066 4132 8264 13429 16528 26858 30293 33056 53716 60586 66112 107432 121172 132224 214864 242344 393809 429728 484688 787618 859456 969376 1575236 1718912 1938752 3150472 3877504 6300944 12601888 25203776 31292669 50407552 62585338 125170676 250341352 406804697 500682704 813609394 1001365408 1627218788 2002730816 3254437576 4005461632 6508875152 13017750304 26035500608 52071001216