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10106667737728 = 27536331472197
BaseRepresentation
bin1001001100010010010001…
…0101110010001010000000
31022210012002001101202201021
42103010210111302022000
52311041423420101403
633254534500515224
72062116435222352
oct223044425621200
938705061352637
1010106667737728
113247239504171
1211728a66abb14
135840931884b3
1426d2459390d2
15127d6e7138bd
hex93124572280

10106667737728 has 32 divisors (see below), whose sum is σ = 20134766220660. Its totient is φ = 5053236215808.

The previous prime is 10106667737693. The next prime is 10106667737783. The reversal of 10106667737728 is 82773776660101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 10085400765504 + 21266972224 = 3175752^2 + 145832^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6128926 + ... + 7601122.

Almost surely, 210106667737728 is an apocalyptic number.

It is an amenable number.

10106667737728 is a deficient number, since it is larger than the sum of its proper divisors (10028098482932).

10106667737728 is an equidigital number, since it uses as much as digits as its factorization.

10106667737728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1525844 (or 1525832 counting only the distinct ones).

The product of its (nonzero) digits is 24893568, while the sum is 61.

The spelling of 10106667737728 in words is "ten trillion, one hundred six billion, six hundred sixty-seven million, seven hundred thirty-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 128 53633 107266 214532 429064 858128 1472197 1716256 2944394 3432512 5888788 6865024 11777576 23555152 47110304 94220608 188441216 78958341701 157916683402 315833366804 631666733608 1263333467216 2526666934432 5053333868864 10106667737728