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10024043424 = 253412546759
BaseRepresentation
bin10010101010111101…
…01100001110100000
3221212121000011111120
421111132230032200
5131012123342144
64334402012240
7503255651253
oct112536541640
927777004446
1010024043424
11428434720a
121b39047080
13c39988155
146b142109a
153da05be19
hex2557ac3a0

10024043424 has 48 divisors (see below), whose sum is σ = 26954907840. Its totient is φ = 3259850240.

The previous prime is 10024043411. The next prime is 10024043453. The reversal of 10024043424 is 42434042001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 10024043394 and 10024043403.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1269444 + ... + 1277315.

It is an arithmetic number, because the mean of its divisors is an integer number (561560580).

Almost surely, 210024043424 is an apocalyptic number.

It is an amenable number.

10024043424 is an abundant number, since it is smaller than the sum of its proper divisors (16930864416).

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

10024043424 is a wasteful number, since it uses less digits than its factorization.

10024043424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2546813 (or 2546805 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 10024043424 its reverse (42434042001), we get a palindrome (52458085425).

The spelling of 10024043424 in words is "ten billion, twenty-four million, forty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 492 656 984 1312 1968 3936 2546759 5093518 7640277 10187036 15280554 20374072 30561108 40748144 61122216 81496288 104417119 122244432 208834238 244488864 313251357 417668476 626502714 835336952 1253005428 1670673904 2506010856 3341347808 5012021712 10024043424