Search a number
-
+
20435955953402 = 2112432063995153
BaseRepresentation
bin1001010010110000111011…
…11001010010111011111010
32200100122202220111120010102
410221120131321102323322
510134310314211002102
6111244052031115402
74206310016336243
oct451303571227372
980318686446112
1020435955953402
11656992740a400
122360760372b62
13b53143c00542
1450916988dcca
152568bd1e0402
hex12961de52efa

20435955953402 has 48 divisors (see below), whose sum is σ = 34479607599360. Its totient is φ = 9072511029120.

The previous prime is 20435955953363. The next prime is 20435955953417.

It is a happy number.

20435955953402 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors.

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, 214721858 + ... + 214817010.

It is an arithmetic number, because the mean of its divisors is an integer number (718325158320).

Almost surely, 220435955953402 is an apocalyptic number.

20435955953402 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20435955953402 is a deficient number, since it is larger than the sum of its proper divisors (14043651645958).

20435955953402 is a wasteful number, since it uses less digits than its factorization.

20435955953402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115859 (or 115848 counting only the distinct ones).

The product of its (nonzero) digits is 29160000, while the sum is 56.

It can be divided in two parts, 2043595 and 5953402, that added together give a palindrome (7996997).

The spelling of 20435955953402 in words is "twenty trillion, four hundred thirty-five billion, nine hundred fifty-five million, nine hundred fifty-three thousand, four hundred two".

Divisors: 1 2 11 22 43 86 121 242 473 946 5203 10406 20639 41278 95153 190306 227029 454058 887477 1046683 1774954 2093366 2497319 4091579 4994638 8183158 9762247 11513513 19524494 23027026 45007369 90014738 107384717 214769434 495081059 990162118 1963862767 3927725534 21602490437 43204980874 84446098981 168892197962 237627394807 475254789614 928907088791 1857814177582 10217977976701 20435955953402