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10042055101404 = 22321716408586767
BaseRepresentation
bin1001001000100001100100…
…1000001000101111011100
31022120000022002022202110200
42102020121020020233130
52304012112101221104
633205131215503500
72054341325662344
oct222103110105734
938500262282420
1010042055101404
1132218a2344177
121162273b27b90
1357ac66c08501
1426a076619d24
1512633c073b39
hex92219208bdc

10042055101404 has 36 divisors (see below), whose sum is σ = 26877265125984. Its totient is φ = 3150448659072.

The previous prime is 10042055101373. The next prime is 10042055101411. The reversal of 10042055101404 is 40410155024001.

10042055101404 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 2 + 0 + 5 + 510 + 140 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8204292772 + ... + 8204293995.

It is an arithmetic number, because the mean of its divisors is an integer number (746590697944).

Almost surely, 210042055101404 is an apocalyptic number.

It is an amenable number.

10042055101404 is an abundant number, since it is smaller than the sum of its proper divisors (16835210024580).

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

10042055101404 is a wasteful number, since it uses less digits than its factorization.

10042055101404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16408586794 (or 16408586789 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The spelling of 10042055101404 in words is "ten trillion, forty-two billion, fifty-five million, one hundred one thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 16408586767 32817173534 49225760301 65634347068 98451520602 147677280903 196903041204 278945975039 295354561806 557891950078 590709123612 836837925117 1115783900156 1673675850234 2510513775351 3347351700468 5021027550702 10042055101404