Search a number
-
+
2046331123254 = 23311191747103787
BaseRepresentation
bin11101110001110010110…
…101101111011000110110
321020121221100000202212000
4131301302311233120312
5232011341231421004
64204023241440130
7300561664361115
oct35616265573066
97217840022760
102046331123254
117199316314a0
122907141a0046
1311ac781897c2
1471085c21c7c
153836a707c39
hex1dc72d6f636

2046331123254 has 128 divisors (see below), whose sum is σ = 5224937011200. Its totient is φ = 587121553440.

The previous prime is 2046331123247. The next prime is 2046331123271. The reversal of 2046331123254 is 4523211336402.

2046331123254 is a `hidden beast` number, since 2 + 0 + 4 + 63 + 311 + 232 + 54 = 666.

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, 19664749 + ... + 19768535.

It is an arithmetic number, because the mean of its divisors is an integer number (40819820400).

Almost surely, 22046331123254 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2046331123254, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2612468505600).

2046331123254 is an abundant number, since it is smaller than the sum of its proper divisors (3178605887946).

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

2046331123254 is a wasteful number, since it uses less digits than its factorization.

2046331123254 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105575 (or 105569 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 2046331123254 its reverse (4523211336402), we get a palindrome (6569542459656).

The spelling of 2046331123254 in words is "two trillion, forty-six billion, three hundred thirty-one million, one hundred twenty-three thousand, two hundred fifty-four".

Divisors: 1 2 3 6 9 11 18 19 22 27 33 38 54 57 66 99 114 171 198 209 297 342 418 513 594 627 1026 1254 1747 1881 3494 3762 5241 5643 10482 11286 15723 19217 31446 33193 38434 47169 57651 66386 94338 99579 103787 115302 172953 199158 207574 298737 311361 345906 365123 518859 597474 622722 730246 896211 934083 1037718 1095369 1141657 1792422 1868166 1971953 2190738 2283314 2802249 3286107 3424971 3943906 5604498 5915859 6572214 6849942 9858321 10274913 11831718 17747577 19716642 20549826 21691483 30824739 35495154 43382966 53242731 61649478 65074449 106485462 130148898 181315889 195223347 362631778 390446694 543947667 585670041 1087895334 1171340082 1631843001 1994474779 3263686002 3445001891 3988949558 4895529003 5983424337 6890003782 9791058006 10335005673 11966848674 17950273011 20670011346 31005017019 35900546022 37895020801 53850819033 62010034038 75790041602 93015051057 107701638066 113685062403 186030102114 227370124806 341055187209 682110374418 1023165561627 2046331123254