Search a number
-
+
45878181993 = 3276318831307
BaseRepresentation
bin101010101110100011…
…011000000001101001
311101102022220010021200
4222232203120001221
51222424303310433
633024240354413
73212622053430
oct525643300151
9141368803250
1045878181993
1118503046196
128a84615a09
134431b38a67
14231314a117
1512d7aaa613
hexaae8d8069

45878181993 has 48 divisors (see below), whose sum is σ = 75999446016. Its totient is φ = 26124910560.

The previous prime is 45878181991. The next prime is 45878182019. The reversal of 45878181993 is 39918187854.

45878181993 is a `hidden beast` number, since 458 + 7 + 81 + 8 + 19 + 93 = 666.

It is not a de Polignac number, because 45878181993 - 21 = 45878181991 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 45878181993.

It is not an unprimeable number, because it can be changed into a prime (45878181991) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35101246 + ... + 35102552.

It is an arithmetic number, because the mean of its divisors is an integer number (1583321792).

Almost surely, 245878181993 is an apocalyptic number.

It is an amenable number.

45878181993 is a deficient number, since it is larger than the sum of its proper divisors (30121264023).

45878181993 is a wasteful number, since it uses less digits than its factorization.

45878181993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2834 (or 2831 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 63.

The spelling of 45878181993 in words is "forty-five billion, eight hundred seventy-eight million, one hundred eighty-one thousand, nine hundred ninety-three".

Divisors: 1 3 7 9 21 63 631 883 1307 1893 2649 3921 4417 5679 6181 7947 9149 11763 13251 18543 27447 39753 55629 82341 557173 824717 1154081 1671519 2474151 3462243 3900211 5014557 5773019 7422453 8078567 10386729 11700633 17319057 24235701 35101899 51957171 72707103 728225111 2184675333 5097575777 6554025999 15292727331 45878181993