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52937820423424 = 28172769930469
BaseRepresentation
bin11000000100101100010111…
…11110110100010100000000
320221102210202201120202212101
430002112023332310110000
523414313124012022144
6304331144324440144
714102426353122646
oct1402261376642400
9227383681522771
1052937820423424
111595a8925a7652
125b2b854b49054
132370027095401
14d102c03a9196
1561c07a61a6d4
hex30258bfb4500

52937820423424 has 108 divisors (see below), whose sum is σ = 112396393486300. Its totient is φ = 24879493545984.

The previous prime is 52937820423421. The next prime is 52937820423427. The reversal of 52937820423424 is 42432402873925.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (52937820423421) and next prime (52937820423427).

It can be written as a sum of positive squares in 6 ways, for example, as 7948069069824 + 44989751353600 = 2819232^2 + 6707440^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52937820423421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56428462 + ... + 57358930.

Almost surely, 252937820423424 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 52937820423424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56198196743150).

52937820423424 is an abundant number, since it is smaller than the sum of its proper divisors (59458573062876).

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

52937820423424 is an equidigital number, since it uses as much as digits as its factorization.

52937820423424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931288 (or 931257 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 55.

The spelling of 52937820423424 in words is "fifty-two trillion, nine hundred thirty-seven billion, eight hundred twenty million, four hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 289 544 578 769 1088 1156 1538 2176 2312 3076 4352 4624 6152 9248 12304 13073 18496 24608 26146 36992 49216 52292 73984 98432 104584 196864 209168 222241 418336 444482 836672 888964 930469 1673344 1777928 1860938 3346688 3555856 3721876 7111712 7443752 14223424 14887504 15817973 28446848 29775008 31635946 56893696 59550016 63271892 119100032 126543784 238200064 253087568 268905541 506175136 537811082 715530661 1012350272 1075622164 1431061322 2024700544 2151244328 2862122644 4049401088 4302488656 5724245288 8604977312 11448490576 12164021237 17209954624 22896981152 24328042474 34419909248 45793962304 48656084948 68839818496 91587924608 97312169896 183175849216 194624339792 206788361029 389248679584 413576722058 778497359168 827153444116 1556994718336 1654306888232 3113989436672 3308613776464 6617227552928 13234455105856 26468910211712 52937820423424