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52322243072 = 291129192
BaseRepresentation
bin110000101110101001…
…100001001000000000
312000001102112100020112
4300232221201020000
51324123443234242
640011515130452
73531410504501
oct605651411000
9160042470215
1052322243072
112020a5a6700
12a182743a28
134c1ac02258
142764d0cba8
1515636abc82
hexc2ea61200

52322243072 has 90 divisors (see below), whose sum is σ = 115035299379. Its totient is φ = 23756958720.

The previous prime is 52322243023. The next prime is 52322243081. The reversal of 52322243072 is 27034222325.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 26161121536 + 26161121536 = 161744^2 + 161744^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=161744.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 56933429 + ... + 56934347.

Almost surely, 252322243072 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 52322243072

52322243072 is an abundant number, since it is smaller than the sum of its proper divisors (62713056307).

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

52322243072 is an frugal number, since it uses more digits than its factorization.

52322243072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1878 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 32.

Multiplying 52322243072 by its sum of digits (32), we get a square (1674311778304 = 12939522).

52322243072 divided by its sum of digits (32) gives a square (1635070096 = 404362).

Adding to 52322243072 its reverse (27034222325), we get a palindrome (79356465397).

The spelling of 52322243072 in words is "fifty-two billion, three hundred twenty-two million, two hundred forty-three thousand, seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 512 704 919 968 1408 1838 1936 2816 3676 3872 5632 7352 7744 10109 14704 15488 20218 29408 30976 40436 58816 61952 80872 111199 117632 161744 222398 235264 323488 444796 470528 646976 844561 889592 1293952 1689122 1779184 2587904 3378244 3558368 5175808 6756488 7116736 9290171 13512976 14233472 18580342 27025952 28466944 37160684 54051904 56933888 74321368 102191881 108103808 148642736 204383762 216207616 297285472 408767524 432415232 594570944 817535048 1189141888 1635070096 2378283776 3270140192 4756567552 6540280384 13080560768 26161121536 52322243072