Search a number
-
+
204143960448 = 273429678959
BaseRepresentation
bin1011111000011111101…
…1011010000110000000
3201111221010212200120000
42332013323122012000
511321041323213243
6233441001320000
720514610014231
oct2760773320600
9644833780500
10204143960448
1179638a41aaa
1233693496000
1316334a0678c
149c485cb088
15549c1845d3
hex2f87eda180

204143960448 has 160 divisors (see below), whose sum is σ = 628479324000. Its totient is φ = 65701407744.

The previous prime is 204143960443. The next prime is 204143960453. The reversal of 204143960448 is 844069341402.

204143960448 is a `hidden beast` number, since 2 + 0 + 4 + 1 + 4 + 39 + 604 + 4 + 8 = 666.

204143960448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (204143960443) and next prime (204143960453).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204143960443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 38808 + ... + 640151.

It is an arithmetic number, because the mean of its divisors is an integer number (3927995775).

Almost surely, 2204143960448 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 204143960448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314239662000).

204143960448 is an abundant number, since it is smaller than the sum of its proper divisors (424335363552).

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

204143960448 is an equidigital number, since it uses as much as digits as its factorization.

204143960448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679014 (or 678993 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 204143960448 in words is "two hundred four billion, one hundred forty-three million, nine hundred sixty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 81 87 96 108 116 128 144 162 174 192 216 232 261 288 324 348 384 432 464 522 576 648 696 783 864 928 1044 1152 1296 1392 1566 1728 1856 2088 2349 2592 2784 3132 3456 3712 4176 4698 5184 5568 6264 8352 9396 10368 11136 12528 16704 18792 25056 33408 37584 50112 75168 100224 150336 300672 678959 1357918 2036877 2715836 4073754 5431672 6110631 8147508 10863344 12221262 16295016 18331893 19689811 21726688 24442524 32590032 36663786 39379622 43453376 48885048 54995679 59069433 65180064 73327572 78759244 86906752 97770096 109991358 118138866 130360128 146655144 157518488 177208299 195540192 219982716 236277732 260720256 293310288 315036976 354416598 391080384 439965432 472555464 531624897 586620576 630073952 708833196 782160768 879930864 945110928 1063249794 1173241152 1260147904 1417666392 1594874691 1759861728 1890221856 2126499588 2346482304 2520295808 2835332784 3189749382 3519723456 3780443712 4252999176 5670665568 6379498764 7039446912 7560887424 8505998352 11341331136 12758997528 17011996704 22682662272 25517995056 34023993408 51035990112 68047986816 102071980224 204143960448