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1001005042374 = 232295311883153
BaseRepresentation
bin11101001000100001000…
…11001100101011000110
310112200202202120212102200
432210100203030223012
5112400024242323444
62043504432015330
7132214560320511
oct16442043145306
93480682525380
101001005042374
11356584283127
12142002691546
137351857cb7c
143663db07d78
151b089ae1969
hexe9108ccac6

1001005042374 has 24 divisors (see below), whose sum is σ = 2168918853192. Its totient is φ = 333656871360.

The previous prime is 1001005042357. The next prime is 1001005042379. The reversal of 1001005042374 is 4732405001001.

1001005042374 is a `hidden beast` number, since 100 + 100 + 50 + 42 + 374 = 666.

It is a super-2 number, since 2×10010050423742 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001005042379) by changing a digit.

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, 410019 + ... + 1473134.

It is an arithmetic number, because the mean of its divisors is an integer number (90371618883).

Almost surely, 21001005042374 is an apocalyptic number.

1001005042374 is an abundant number, since it is smaller than the sum of its proper divisors (1167913810818).

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

1001005042374 is a wasteful number, since it uses less digits than its factorization.

1001005042374 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1912692 (or 1912689 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 1001005042374 in words is "one trillion, one billion, five million, forty-two thousand, three hundred seventy-four".

Divisors: 1 2 3 6 9 18 29531 59062 88593 177186 265779 531558 1883153 3766306 5649459 11298918 16948377 33896754 55611391243 111222782486 166834173729 333668347458 500502521187 1001005042374