Search a number
-
+
81413764685500 = 22531317790193251
BaseRepresentation
bin10010100000101110011110…
…100001100001111010111100
3101200021002011020112021212111
4102200232132201201322330
541132340342224414000
6445052544524143404
723101643661506662
oct2240563641417274
9350232136467774
1081413764685500
1123a39424792375
12916a649097b64
1336573923a79c0
141616639300c32
15962b5b1e8cba
hex4a0b9e861ebc

81413764685500 has 192 divisors, whose sum is σ = 202776844023936. Its totient is φ = 28288320000000.

The previous prime is 81413764685453. The next prime is 81413764685507. The reversal of 81413764685500 is 558646731418.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81413764685507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 873013875 + ... + 873107125.

It is an arithmetic number, because the mean of its divisors is an integer number (1056129395958).

Almost surely, 281413764685500 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 81413764685500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101388422011968).

81413764685500 is an abundant number, since it is smaller than the sum of its proper divisors (121363079338436).

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

81413764685500 is a wasteful number, since it uses less digits than its factorization.

81413764685500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101201 (or 101189 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 58.

The spelling of 81413764685500 in words is "eighty-one trillion, four hundred thirteen billion, seven hundred sixty-four million, six hundred eighty-five thousand, five hundred".