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232520250035424 = 25313622129949253
BaseRepresentation
bin110100110111100111010110…
…111010000000110011100000
31010111021201102000101202122010
4310313213112322000303200
5220434102433002113144
62142310154521312520
766656014361605551
oct6467472672006340
91114251360352563
10232520250035424
11680a7314399a4a
12220b3b95335740
139c98747510730
14415c07c254328
151bd35ba6345b9
hexd379d6e80ce0

232520250035424 has 96 divisors (see below), whose sum is σ = 657422543592864. Its totient is φ = 71533189416960.

The previous prime is 232520250035407. The next prime is 232520250035429. The reversal of 232520250035424 is 424530052025232.

232520250035424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232520250035429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7210819 + ... + 22738434.

It is an arithmetic number, because the mean of its divisors is an integer number (6848151495759).

Almost surely, 2232520250035424 is an apocalyptic number.

232520250035424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

232520250035424 is an abundant number, since it is smaller than the sum of its proper divisors (424902293557440).

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

232520250035424 is a wasteful number, since it uses less digits than its factorization.

232520250035424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29955500 (or 29955492 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 39.

The spelling of 232520250035424 in words is "two hundred thirty-two trillion, five hundred twenty billion, two hundred fifty million, thirty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 6221 12442 18663 24884 37326 49768 74652 80873 99536 149304 161746 199072 242619 298608 323492 485238 597216 646984 970476 1293968 1940952 2587936 3881904 7763808 29949253 59898506 89847759 119797012 179695518 239594024 359391036 389340289 479188048 718782072 778680578 958376096 1168020867 1437564144 1557361156 2336041734 2875128288 3114722312 4672083468 6229444624 9344166936 12458889248 18688333872 37376667744 186314302913 372628605826 558942908739 745257211652 1117885817478 1490514423304 2235771634956 2422085937869 2981028846608 4471543269912 4844171875738 5962057693216 7266257813607 8943086539824 9688343751476 14532515627214 17886173079648 19376687502952 29065031254428 38753375005904 58130062508856 77506750011808 116260125017712 232520250035424