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13302422522432 = 261724150732329
BaseRepresentation
bin1100000110010011011000…
…1010110100101001000000
31202002200212200211110001122
43001210312022310221000
53220421330131204212
644143014252451412
72542032300543461
oct301446612645100
952080780743048
1013302422522432
1142695867a1a4a
1215aa122479b68
1375654a65a244
1433dbaabaad68
1518105e86a272
hexc19362b4a40

13302422522432 has 56 divisors (see below), whose sum is σ = 28065733743960. Its totient is φ = 6233988464640.

The previous prime is 13302422522413. The next prime is 13302422522461. The reversal of 13302422522432 is 23422522420331.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3993186903616 + 9309235618816 = 1998296^2 + 3051104^2 .

It is a super-2 number, since 2×133024225224322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13302422522392 and 13302422522401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25103957 + ... + 25628372.

Almost surely, 213302422522432 is an apocalyptic number.

It is an amenable number.

13302422522432 is an abundant number, since it is smaller than the sum of its proper divisors (14763311221528).

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

13302422522432 is a wasteful number, since it uses less digits than its factorization.

13302422522432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50732599 (or 50732589 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 35.

Adding to 13302422522432 its reverse (23422522420331), we get a palindrome (36724944942763).

The spelling of 13302422522432 in words is "thirteen trillion, three hundred two billion, four hundred twenty-two million, five hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 241 272 482 544 964 1088 1928 3856 4097 7712 8194 15424 16388 32776 65552 131104 262208 50732329 101464658 202929316 405858632 811717264 862449593 1623434528 1724899186 3246869056 3449798372 6899596744 12226491289 13799193488 24452982578 27598386976 48905965156 55196773952 97811930312 195623860624 207850351913 391247721248 415700703826 782495442496 831401407652 1662802815304 3325605630608 6651211261216 13302422522432