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10442412635501 = 74111392844469
BaseRepresentation
bin1001011111110101000001…
…0010111011010101101101
31100222021200200122202001002
42113331100102323111231
52332042030113314001
634113102251130045
72125303501610000
oct227752022732555
940867620582032
1010442412635501
1133666697771a0
121207986a43925
135a993b63a092
142815b608b537
1513197004346b
hex97f504bb56d

10442412635501 has 40 divisors (see below), whose sum is σ = 13385165589600. Its totient is φ = 8078402898720.

The previous prime is 10442412635489. The next prime is 10442412635507. The reversal of 10442412635501 is 10553621424401.

It is not a de Polignac number, because 10442412635501 - 238 = 10167534728557 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10442412635507) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2248895 + ... + 5093363.

It is an arithmetic number, because the mean of its divisors is an integer number (334629139740).

Almost surely, 210442412635501 is an apocalyptic number.

10442412635501 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10442412635501 is a deficient number, since it is larger than the sum of its proper divisors (2942752954099).

10442412635501 is an equidigital number, since it uses as much as digits as its factorization.

10442412635501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2844647 (or 2844626 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 38.

The spelling of 10442412635501 in words is "ten trillion, four hundred forty-two billion, four hundred twelve million, six hundred thirty-five thousand, five hundred one".

Divisors: 1 7 11 49 77 139 343 539 973 1529 2401 3773 6811 10703 26411 47677 74921 333739 524447 2844469 3671129 19911283 31289159 139378981 219024113 395381191 975652867 1533168791 2767668337 4349193101 6829570069 10732181537 19373678359 30444351707 75125270759 135615748513 213110461949 949310239591 1491773233643 10442412635501