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510664421040 = 24353168637691
BaseRepresentation
bin1110110111001011111…
…10001010111010110000
31210211010002012102200120
413123211332022322300
531331320042433130
61030332422450240
751615511650024
oct7334576127260
91724102172616
10510664421040
11187631830904
1282b78593980
133920369b197
141aa056dc384
15d43bed6910
hex76e5f8aeb0

510664421040 has 80 divisors (see below), whose sum is σ = 1634126171136. Its totient is φ = 131784364800.

The previous prime is 510664421039. The next prime is 510664421123. The reversal of 510664421040 is 40124466015.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×5106644210402 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 510664420992 and 510664421010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34311406 + ... + 34326285.

Almost surely, 2510664421040 is an apocalyptic number.

It is an amenable number.

510664421040 is an abundant number, since it is smaller than the sum of its proper divisors (1123461750096).

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

510664421040 is a wasteful number, since it uses less digits than its factorization.

510664421040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68637738 (or 68637732 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

Adding to 510664421040 its reverse (40124466015), we get a palindrome (550788887055).

The spelling of 510664421040 in words is "five hundred ten billion, six hundred sixty-four million, four hundred twenty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 930 1240 1488 1860 2480 3720 7440 68637691 137275382 205913073 274550764 343188455 411826146 549101528 686376910 823652292 1029565365 1098203056 1372753820 1647304584 2059130730 2127768421 2745507640 3294609168 4118261460 4255536842 5491015280 6383305263 8236522920 8511073684 10638842105 12766610526 16473045840 17022147368 21277684210 25533221052 31916526315 34044294736 42555368420 51066442104 63833052630 85110736840 102132884208 127666105260 170221473680 255332210520 510664421040