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52225151004 = 223313292116079
BaseRepresentation
bin110000101000110111…
…001001000000011100
311222210122211112222000
4300220313021000130
51323424114313004
635554130122300
73526121313315
oct605067110034
9158718745860
1052225151004
112016a810a24
12a156120390
134c03a69220
14275607760c
151559dcdc39
hexc28dc901c

52225151004 has 192 divisors, whose sum is σ = 151581696000. Its totient is φ = 15439092480.

The previous prime is 52225150949. The next prime is 52225151047. The reversal of 52225151004 is 40015152225.

52225151004 is a `hidden beast` number, since 522 + 25 + 15 + 100 + 4 = 666.

It is a super-3 number, since 3×522251510043 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8588037 + ... + 8594115.

It is an arithmetic number, because the mean of its divisors is an integer number (789488000).

Almost surely, 252225151004 is an apocalyptic number.

52225151004 is a gapful number since it is divisible by the number (54) 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 52225151004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75790848000).

52225151004 is an abundant number, since it is smaller than the sum of its proper divisors (99356544996).

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

52225151004 is a wasteful number, since it uses less digits than its factorization.

52225151004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6345 (or 6337 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The spelling of 52225151004 in words is "fifty-two billion, two hundred twenty-five million, one hundred fifty-one thousand, four".