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2046151225404 = 22321113691575203
BaseRepresentation
bin11101110001101000000…
…111011111000000111100
321020121110210112000101200
4131301220013133000330
5232011004203203104
64203553333535500
7300554351306436
oct35615007370074
97217423460350
102046151225404
1171984a029590
12290683aa4590
1311ac49b20280
1471069d93656
1538359a1eb39
hex1dc681df03c

2046151225404 has 144 divisors (see below), whose sum is σ = 6085253376384. Its totient is φ = 571520707200.

The previous prime is 2046151225351. The next prime is 2046151225477. The reversal of 2046151225404 is 4045221516402.

2046151225404 is a `hidden beast` number, since 2 + 0 + 4 + 61 + 51 + 2 + 2 + 540 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3269667 + ... + 3844869.

Almost surely, 22046151225404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2046151225404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3042626688192).

2046151225404 is an abundant number, since it is smaller than the sum of its proper divisors (4039102150980).

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

2046151225404 is a wasteful number, since it uses less digits than its factorization.

2046151225404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575928 (or 575923 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 2046151225404 in words is "two trillion, forty-six billion, one hundred fifty-one million, two hundred twenty-five thousand, four hundred four".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 117 132 143 156 198 234 286 396 429 468 572 691 858 1287 1382 1716 2073 2574 2764 4146 5148 6219 7601 8292 8983 12438 15202 17966 22803 24876 26949 30404 35932 45606 53898 68409 80847 91212 98813 107796 136818 161694 197626 273636 296439 323388 395252 575203 592878 889317 1150406 1185756 1725609 1778634 2300812 3451218 3557268 5176827 6327233 6902436 7477639 10353654 12654466 14955278 18981699 20707308 22432917 25308932 29910556 37963398 44865834 56945097 67298751 75926796 82254029 89731668 113890194 134597502 164508058 227780388 246762087 269195004 329016116 397465273 493524174 740286261 794930546 987048348 1192395819 1480572522 1589861092 2384791638 2961145044 3577187457 4372118003 4769583276 5167048549 7154374914 8744236006 10334097098 13116354009 14308749828 15501145647 17488472012 20668194196 26232708018 31002291294 39349062027 46503436941 52465416036 56837534039 62004582588 78698124054 93006873882 113675068078 157396248108 170512602117 186013747764 227350136156 341025204234 511537806351 682050408468 1023075612702 2046151225404