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1840072020006 = 2311412773676689
BaseRepresentation
bin11010110001101100110…
…101101101000000100110
320111220112210010200211210
4122301230311231000212
5220121431414120011
63525152321212250
7246640462050513
oct32615465550046
96456483120753
101840072020006
1164a4087593a0
12258750491086
131046971c284c
14650ba76630a
1532ce7a196a6
hex1ac6cd6d026

1840072020006 has 128 divisors (see below), whose sum is σ = 4139334420480. Its totient is φ = 540476006400.

The previous prime is 1840072019999. The next prime is 1840072020049. The reversal of 1840072020006 is 6000202700481.

It is a super-2 number, since 2×18400720200062 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 275085910 + ... + 275092598.

It is an arithmetic number, because the mean of its divisors is an integer number (32338550160).

Almost surely, 21840072020006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1840072020006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2069667210240).

1840072020006 is an abundant number, since it is smaller than the sum of its proper divisors (2299262400474).

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

1840072020006 is a wasteful number, since it uses less digits than its factorization.

1840072020006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7390.

The product of its (nonzero) digits is 5376, while the sum is 30.

Adding to 1840072020006 its reverse (6000202700481), we get a palindrome (7840274720487).

The spelling of 1840072020006 in words is "one trillion, eight hundred forty billion, seventy-two million, twenty thousand, six".

Divisors: 1 2 3 6 11 22 33 41 66 82 123 246 277 367 451 554 734 831 902 1101 1353 1662 2202 2706 3047 4037 6094 6689 8074 9141 11357 12111 13378 15047 18282 20067 22714 24222 30094 34071 40134 45141 68142 73579 90282 101659 124927 147158 165517 203318 220737 249854 274249 304977 331034 374781 441474 496551 548498 609954 749562 822747 993102 1118249 1645494 1852853 2236498 2454863 3016739 3354747 3705706 4168019 4909726 5558559 6033478 6709494 7364589 8336038 9050217 11117118 12504057 14729178 18100434 20381383 25008114 27003493 40762766 45848209 54006986 61144149 75966973 81010479 91696418 100649383 122288298 137544627 151933946 162020958 201298766 227900919 275089254 301948149 455801838 603896298 679997051 835636703 1107143213 1359994102 1671273406 2039991153 2214286426 2506910109 3321429639 4079982306 5013820218 6642859278 7479967561 14959935122 22439902683 27879879091 44879805366 55759758182 83639637273 167279274546 306678670001 613357340002 920036010003 1840072020006