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20042004312 = 233511937243
BaseRepresentation
bin10010101010100110…
…001011011101011000
31220201202120022100000
4102222212023131120
5312021223114222
613112425413000
71306442140311
oct225246133530
956652508300
1020042004312
118555209530
123a7403a160
131b752c3865
14d81adb608
157c47b69ac
hex4aa98b758

20042004312 has 96 divisors (see below), whose sum is σ = 61408226880. Its totient is φ = 6073328160.

The previous prime is 20042004299. The next prime is 20042004329. The reversal of 20042004312 is 21340024002.

20042004312 is a `hidden beast` number, since 200 + 420 + 0 + 43 + 1 + 2 = 666.

It is a super-3 number, since 3×200420043123 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 447238 + ... + 490005.

It is an arithmetic number, because the mean of its divisors is an integer number (639669030).

Almost surely, 220042004312 is an apocalyptic number.

20042004312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

20042004312 is an abundant number, since it is smaller than the sum of its proper divisors (41366222568).

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

20042004312 is a wasteful number, since it uses less digits than its factorization.

20042004312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937275 (or 937259 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 20042004312 its reverse (21340024002), we get a palindrome (41382028314).

The spelling of 20042004312 in words is "twenty billion, forty-two million, four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 243 264 297 324 396 486 594 648 792 891 972 1188 1782 1944 2376 2673 3564 5346 7128 10692 21384 937243 1874486 2811729 3748972 5623458 7497944 8435187 10309673 11246916 16870374 20619346 22493832 25305561 30929019 33740748 41238692 50611122 61858038 67481496 75916683 82477384 92787057 101222244 123716076 151833366 185574114 202444488 227750049 247432152 278361171 303666732 371148228 455500098 556722342 607333464 742296456 835083513 911000196 1113444684 1670167026 1822000392 2226889368 2505250539 3340334052 5010501078 6680668104 10021002156 20042004312