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200412057605632 = 292397454938569
BaseRepresentation
bin101101100100011000010001…
…100000001001011000000000
3222021121012112212201020222121
4231210120101200021120000
5202232022343221340012
61550124010034014024
760133202421214645
oct5544302140113000
9867535485636877
10200412057605632
1158948304872284
121a589248717314
1387a9a11980bc2
14376bdd131bdcc
15182829e2d6a07
hexb64611809600

200412057605632 has 160 divisors (see below), whose sum is σ = 422254208376000. Its totient is φ = 94837796241408.

The previous prime is 200412057605593. The next prime is 200412057605653. The reversal of 200412057605632 is 236506750214002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5196176044 + ... + 5196214612.

It is an arithmetic number, because the mean of its divisors is an integer number (2639088802350).

Almost surely, 2200412057605632 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 200412057605632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211127104188000).

200412057605632 is an abundant number, since it is smaller than the sum of its proper divisors (221842150770368).

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

200412057605632 is an equidigital number, since it uses as much as digits as its factorization.

200412057605632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43256 (or 43240 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 43.

The spelling of 200412057605632 in words is "two hundred trillion, four hundred twelve billion, fifty-seven million, six hundred five thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 23 32 46 64 92 97 128 184 194 256 368 388 512 736 776 1472 1552 2231 2944 3104 4462 4549 5888 6208 8924 9098 11776 12416 17848 18196 24832 35696 36392 38569 49664 71392 72784 77138 104627 142784 145568 154276 209254 285568 291136 308552 418508 441253 571136 582272 617104 837016 882506 887087 1142272 1164544 1234208 1674032 1765012 1774174 2329088 2468416 3348064 3530024 3548348 3741193 4936832 6696128 7060048 7096696 7482386 9873664 10148819 13392256 14120096 14193392 14964772 19747328 20297638 26784512 28240192 28386784 29929544 40595276 53569024 56480384 56773568 59859088 81190552 86047439 112960768 113547136 119718176 162381104 172094878 175450381 225921536 227094272 239436352 324762208 344189756 350900762 454188544 478872704 649524416 688379512 701801524 957745408 1299048832 1376759024 1403603048 1915490816 2598097664 2753518048 2807206096 4035358763 5196195328 5507036096 5614412192 8070717526 11014072192 11228824384 16141435052 17018686957 22028144384 22457648768 32282870104 34037373914 44056288768 44915297536 64565740208 68074747828 89830595072 129131480416 136149495656 258262960832 272298991312 391429800011 516525921664 544597982624 782859600022 1033051843328 1089195965248 1565719200044 2066103686656 2178391930496 3131438400088 4356783860992 6262876800176 8713567721984 12525753600352 25051507200704 50103014401408 100206028802816 200412057605632