Search a number
-
+
200762769240544 = 2572197578902001
BaseRepresentation
bin101101101001011110111001…
…100010110111000111100000
3222022211201210120112020221011
4231221132321202313013200
5202303244122411144134
61550553050513310304
760200426402013400
oct5551367142670740
9868751716466834
10200762769240544
1158a730153a8455
121a625205265394
138803b03b03674
143780d814b6800
151832478a5a264
hexb697b98b71e0

200762769240544 has 144 divisors (see below), whose sum is σ = 484621071999120. Its totient is φ = 81405015552000.

The previous prime is 200762769240521. The next prime is 200762769240637. The reversal of 200762769240544 is 445042967267002.

It is a hoax number, since the sum of its digits (58) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18101544 + ... + 27003544.

It is an arithmetic number, because the mean of its divisors is an integer number (3365424111105).

Almost surely, 2200762769240544 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 200762769240544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242310535999560).

200762769240544 is an abundant number, since it is smaller than the sum of its proper divisors (283858302758576).

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

200762769240544 is a wasteful number, since it uses less digits than its factorization.

200762769240544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8902801 (or 8902786 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 58.

The spelling of 200762769240544 in words is "two hundred trillion, seven hundred sixty-two billion, seven hundred sixty-nine million, two hundred forty thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 49 56 76 98 112 133 152 196 224 266 304 392 532 608 757 784 931 1064 1514 1568 1862 2128 3028 3724 4256 5299 6056 7448 10598 12112 14383 14896 21196 24224 28766 29792 37093 42392 57532 74186 84784 100681 115064 148372 169568 201362 230128 296744 402724 460256 593488 704767 805448 1186976 1409534 1610896 2819068 3221792 5638136 8902001 11276272 17804002 22552544 35608004 62314007 71216008 124628014 142432016 169138019 249256028 284864032 338276038 436198049 498512056 676552076 872396098 997024112 1183966133 1353104152 1744792196 1994048224 2367932266 2706208304 3489584392 4735864532 5412416608 6738814757 6979168784 8287762931 9471729064 13477629514 13958337568 16575525862 18943458128 26955259028 33151051724 37886916256 47171703299 53910518056 66302103448 94343406598 107821036112 128037480383 132604206896 188686813196 215642072224 256074960766 265208413792 330201923093 377373626392 512149921532 660403846186 754747252784 896262362681 1024299843064 1320807692372 1509494505568 1792524725362 2048599686128 2641615384744 3585049450724 4097199372256 5283230769488 6273836538767 7170098901448 10566461538976 12547673077534 14340197802896 25095346155068 28680395605792 50190692310136 100381384620272 200762769240544