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10042174585831 = 107129097726989
BaseRepresentation
bin1001001000100010000000…
…1111111011101111100111
31022120000121102011012021211
42102020200033323233213
52304012333143221311
633205151124452251
72054344306405423
oct222104017735747
938500542135254
1010042174585831
113221953833633
1211622a7b4a087
1357ac858b185b
1426a08843db83
151263477c6821
hex922203fbbe7

10042174585831 has 8 divisors (see below), whose sum is σ = 10136119142160. Its totient is φ = 9948231741888.

The previous prime is 10042174585813. The next prime is 10042174585841. The reversal of 10042174585831 is 13858547124001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10042174585831 - 29 = 10042174585319 is a prime.

It is a super-2 number, since 2×100421745858312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10042174585811) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 13449885 + ... + 14176873.

It is an arithmetic number, because the mean of its divisors is an integer number (1267014892770).

Almost surely, 210042174585831 is an apocalyptic number.

10042174585831 is a deficient number, since it is larger than the sum of its proper divisors (93944556329).

10042174585831 is a wasteful number, since it uses less digits than its factorization.

10042174585831 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856193.

The product of its (nonzero) digits is 1075200, while the sum is 49.

The spelling of 10042174585831 in words is "ten trillion, forty-two billion, one hundred seventy-four million, five hundred eighty-five thousand, eight hundred thirty-one".

Divisors: 1 107 129097 726989 13813379 77787823 93852098933 10042174585831