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10371856765842 = 232111367563106823
BaseRepresentation
bin1001011011101110001011…
…0101101001001110010010
31100201112120112100012100100
42112323202311221032102
52324413030313001332
634020433142033230
72120225164611045
oct226734265511622
940645515305310
1010371856765842
113339752829010
1211b6175a18816
135a30a5ca8690
1427c0016d8c5c
1512ebe0c3067c
hex96ee2d69392

10371856765842 has 192 divisors, whose sum is σ = 26842980842496. Its totient is φ = 2852813969280.

The previous prime is 10371856765783. The next prime is 10371856765843. The reversal of 10371856765842 is 24856765817301.

It is a happy number.

10371856765842 is a `hidden beast` number, since 1 + 0 + 3 + 7 + 1 + 8 + 567 + 65 + 8 + 4 + 2 = 666.

It is a super-2 number, since 2×103718567658422 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10371856765842.

It is not an unprimeable number, because it can be changed into a prime (10371856765843) 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 95 ways as a sum of consecutive naturals, for example, 97040443 + ... + 97147265.

It is an arithmetic number, because the mean of its divisors is an integer number (139807191888).

Almost surely, 210371856765842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10371856765842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13421490421248).

10371856765842 is an abundant number, since it is smaller than the sum of its proper divisors (16471124076654).

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

10371856765842 is a wasteful number, since it uses less digits than its factorization.

10371856765842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107485 (or 107482 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 10371856765842 in words is "ten trillion, three hundred seventy-one billion, eight hundred fifty-six million, seven hundred sixty-five thousand, eight hundred forty-two".