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52071177255552 = 273872131947109
BaseRepresentation
bin10111101011011110001000…
…00001011111101010000000
320211100221210212120100000000
423311233010001133222000
523311113232334134202
6302425100230000000
713653006212544600
oct1365570401375200
9224327725510000
1052071177255552
1115656298082514
125a0b8abaa6000
1323093a22917c0
14cc038919cc00
1560475679491c
hex2f5bc405fa80

52071177255552 has 3456 divisors, whose sum is σ = 211468761504000. Its totient is φ = 12616630419456.

The previous prime is 52071177255527. The next prime is 52071177255553. The reversal of 52071177255552 is 25555277117025.

52071177255552 is a `hidden beast` number, since 5 + 2 + 0 + 7 + 1 + 17 + 72 + 5 + 5 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a super-2 number, since 2×520711772555522 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (52071177255553) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 477717222474 + ... + 477717222582.

It is an arithmetic number, because the mean of its divisors is an integer number (61188877750).

Almost surely, 252071177255552 is an apocalyptic number.

52071177255552 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 52071177255552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105734380752000).

52071177255552 is an abundant number, since it is smaller than the sum of its proper divisors (159397584248448).

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

52071177255552 is a wasteful number, since it uses less digits than its factorization.

52071177255552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 8575000, while the sum is 54.

The spelling of 52071177255552 in words is "fifty-two trillion, seventy-one billion, one hundred seventy-seven million, two hundred fifty-five thousand, five hundred fifty-two".