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6407963631852 = 223732100205849
BaseRepresentation
bin101110100111111100001…
…1001010110000011101100
3211200121002000002100001220
41131033320121112003230
51314442002142204402
621343440003303340
71230650212111566
oct135177031260354
924617060070056
106407963631852
112050669462282
12875aa607ab50
13376364819823
1418220b8b0336
15b1a44a95dbc
hex5d3f86560ec

6407963631852 has 36 divisors (see below), whose sum is σ = 15159541811400. Its totient is φ = 2106727748352.

The previous prime is 6407963631787. The next prime is 6407963631889. The reversal of 6407963631852 is 2581363697046.

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 11 ways as a sum of consecutive naturals, for example, 50038977 + ... + 50166872.

It is an arithmetic number, because the mean of its divisors is an integer number (421098383650).

It is a 2-persistent number, because it is pandigital, and so is 2⋅6407963631852 = 12815927263704, but 3⋅6407963631852 = 19223890895556 is not.

Almost surely, 26407963631852 is an apocalyptic number.

It is an amenable number.

6407963631852 is an abundant number, since it is smaller than the sum of its proper divisors (8751578179548).

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

6407963631852 is a wasteful number, since it uses less digits than its factorization.

6407963631852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100206002 (or 100205927 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 60.

The spelling of 6407963631852 in words is "six trillion, four hundred seven billion, nine hundred sixty-three million, six hundred thirty-one thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 12 73 146 219 292 438 876 5329 10658 15987 21316 31974 63948 100205849 200411698 300617547 400823396 601235094 1202470188 7315026977 14630053954 21945080931 29260107908 43890161862 87780323724 533996969321 1067993938642 1601990907963 2135987877284 3203981815926 6407963631852