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10002033043040 = 2554112391123049
BaseRepresentation
bin1001000110001100011110…
…1000000110011001100000
31022102011222212202112120202
42101203013220012121200
52302333130424334130
633134512012124332
72051423463050423
oct221430750063140
938364885675522
1010002033043040
11320692499a385
1211565647666a8
1357725940197c
1426815b1499ba
15125298681145
hex918c7a06660

10002033043040 has 96 divisors (see below), whose sum is σ = 24208289985600. Its totient is φ = 3902885683200.

The previous prime is 10002033043039. The next prime is 10002033043049. The reversal of 10002033043040 is 4034033020001.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002033043049) 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 15 ways as a sum of consecutive naturals, for example, 81223436 + ... + 81346484.

It is an arithmetic number, because the mean of its divisors is an integer number (252169687350).

Almost surely, 210002033043040 is an apocalyptic number.

10002033043040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10002033043040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12104144992800).

10002033043040 is an abundant number, since it is smaller than the sum of its proper divisors (14206256942560).

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

10002033043040 is a wasteful number, since it uses less digits than its factorization.

10002033043040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135496 (or 135488 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 10002033043040 its reverse (4034033020001), we get a palindrome (14036066063041).

The spelling of 10002033043040 in words is "ten trillion, two billion, thirty-three million, forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 80 82 160 164 205 328 410 656 820 1312 1640 3280 6560 12391 24782 49564 61955 99128 123049 123910 198256 246098 247820 396512 492196 495640 508031 615245 984392 991280 1016062 1230490 1968784 1982560 2032124 2460980 2540155 3937568 4064248 4921960 5045009 5080310 8128496 9843920 10090018 10160620 16256992 19687840 20180036 20321240 25225045 40360072 40642480 50450090 80720144 81284960 100900180 161440288 201800360 403600720 807201440 1524700159 3049400318 6098800636 7623500795 12197601272 15247001590 24395202544 30494003180 48790405088 60988006360 62512706519 121976012720 125025413038 243952025440 250050826076 312563532595 500101652152 625127065190 1000203304304 1250254130380 2000406608608 2500508260760 5001016521520 10002033043040