Search a number
-
+
1006442446002 = 23731775592793
BaseRepresentation
bin11101010010101001010…
…01001111110010110010
310120012210201000120222020
432221110221033302302
5112442143231233002
62050204150252310
7132466403432310
oct16512451176262
93505721016866
101006442446002
11358914582a34
1214307b657096
1373ba3c17b76
14369d7d090b0
151b2a71492bc
hexea54a4fcb2

1006442446002 has 32 divisors (see below), whose sum is σ = 2307696815232. Its totient is φ = 286647867264.

The previous prime is 1006442445973. The next prime is 1006442446003. The reversal of 1006442446002 is 2006442446001.

It is a super-2 number, since 2×10064424460022 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1006442446003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37783083 + ... + 37809710.

It is an arithmetic number, because the mean of its divisors is an integer number (72115525476).

Almost surely, 21006442446002 is an apocalyptic number.

1006442446002 is an abundant number, since it is smaller than the sum of its proper divisors (1301254369230).

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

1006442446002 is a wasteful number, since it uses less digits than its factorization.

1006442446002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75593122.

The product of its (nonzero) digits is 36864, while the sum is 33.

Subtracting 1006442446002 from its reverse (2006442446001), we obtain a palindrome (999999999999).

The spelling of 1006442446002 in words is "one trillion, six billion, four hundred forty-two million, four hundred forty-six thousand, two".

Divisors: 1 2 3 6 7 14 21 42 317 634 951 1902 2219 4438 6657 13314 75592793 151185586 226778379 453556758 529149551 1058299102 1587448653 3174897306 23962915381 47925830762 71888746143 143777492286 167740407667 335480815334 503221223001 1006442446002