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10270629291696 = 2434131716463141
BaseRepresentation
bin1001010101110101000100…
…1101011110011010110000
31100100212021210222201010020
42111131101031132122300
52321233222044313241
633502132330003440
72110012524355524
oct225352115363260
940325253881106
1010270629291696
1132aa827531474
12119a624b76580
135966930a5397
1427715b635d84
1512c268d7eb66
hex9575135e6b0

10270629291696 has 80 divisors (see below), whose sum is σ = 27265333844448. Its totient is φ = 3329505433600.

The previous prime is 10270629291679. The next prime is 10270629291707. The reversal of 10270629291696 is 69619292607201.

10270629291696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7607715 + ... + 8855426.

Almost surely, 210270629291696 is an apocalyptic number.

10270629291696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10270629291696 is an abundant number, since it is smaller than the sum of its proper divisors (16994704552752).

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

10270629291696 is a wasteful number, since it uses less digits than its factorization.

10270629291696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16463510 (or 16463504 counting only the distinct ones).

The product of its (nonzero) digits is 8817984, while the sum is 60.

The spelling of 10270629291696 in words is "ten trillion, two hundred seventy billion, six hundred twenty-nine million, two hundred ninety-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 246 317 328 492 634 656 951 984 1268 1902 1968 2536 3804 5072 7608 12997 15216 25994 38991 51988 77982 103976 155964 207952 311928 623856 16463141 32926282 49389423 65852564 98778846 131705128 197557692 263410256 395115384 674988781 790230768 1349977562 2024966343 2699955124 4049932686 5218815697 5399910248 8099865372 10437631394 10799820496 15656447091 16199730744 20875262788 31312894182 32399461488 41750525576 62625788364 83501051152 125251576728 213971443577 250503153456 427942887154 641914330731 855885774308 1283828661462 1711771548616 2567657322924 3423543097232 5135314645848 10270629291696