Search a number
-
+
35054313432 = 233234712710639
BaseRepresentation
bin100000101001011001…
…100101111111011000
310100110222212121221220
4200221121211333120
51033242401012212
624034223332040
72350451514345
oct405131457730
9110428777856
1035054313432
1113959278576
126963751020
1333c855c4c8
1419a78077cc
15da270d38c
hex829665fd8

35054313432 has 128 divisors (see below), whose sum is σ = 94135910400. Its totient is φ = 10851781248.

The previous prime is 35054313391. The next prime is 35054313443. The reversal of 35054313432 is 23431345053.

35054313432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 35054313393 and 35054313402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3289569 + ... + 3300207.

It is an arithmetic number, because the mean of its divisors is an integer number (735436800).

Almost surely, 235054313432 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 35054313432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47067955200).

35054313432 is an abundant number, since it is smaller than the sum of its proper divisors (59081596968).

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

35054313432 is a wasteful number, since it uses less digits than its factorization.

35054313432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10845 (or 10841 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 33.

Adding to 35054313432 its reverse (23431345053), we get a palindrome (58485658485).

The spelling of 35054313432 in words is "thirty-five billion, fifty-four million, three hundred thirteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 23 24 46 47 69 92 94 127 138 141 184 188 254 276 282 376 381 508 552 564 762 1016 1081 1128 1524 2162 2921 3048 3243 4324 5842 5969 6486 8648 8763 10639 11684 11938 12972 17526 17907 21278 23368 23876 25944 31917 35052 35814 42556 47752 63834 70104 71628 85112 127668 137287 143256 244697 255336 274574 411861 489394 500033 549148 734091 823722 978788 1000066 1098296 1351153 1468182 1500099 1647444 1957576 2000132 2702306 2936364 3000198 3294888 4000264 4053459 5404612 5872728 6000396 8106918 10809224 11500759 12000792 16213836 23001518 31076519 32427672 34502277 46003036 62153038 63504191 69004554 92006072 93229557 124306076 127008382 138009108 186459114 190512573 248612152 254016764 276018216 372918228 381025146 508033528 745836456 762050292 1460596393 1524100584 2921192786 4381789179 5842385572 8763578358 11684771144 17527156716 35054313432