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45006214432 = 2519271273149
BaseRepresentation
bin101001111010100101…
…000101010100100000
311022011120010120122211
4221322211011110200
51214133042330212
632401531211504
73152203340104
oct517245052440
9138146116584
1045006214432
11180a5920043
1288805a6b94
1343232a891a
14226d409904
1512862699a7
hexa7a945520

45006214432 has 48 divisors (see below), whose sum is σ = 93613968000. Its totient is φ = 21239988480.

The previous prime is 45006214403. The next prime is 45006214447. The reversal of 45006214432 is 23441260054.

It is a junction number, because it is equal to n+sod(n) for n = 45006214394 and 45006214403.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28194 + ... + 301342.

It is an arithmetic number, because the mean of its divisors is an integer number (1950291000).

Almost surely, 245006214432 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 45006214432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46806984000).

45006214432 is an abundant number, since it is smaller than the sum of its proper divisors (48607753568).

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

45006214432 is a wasteful number, since it uses less digits than its factorization.

45006214432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273449 (or 273441 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

Adding to 45006214432 its reverse (23441260054), we get a palindrome (68447474486).

The spelling of 45006214432 in words is "forty-five billion, six million, two hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 19 32 38 76 152 271 304 542 608 1084 2168 4336 5149 8672 10298 20596 41192 82384 164768 273149 546298 1092596 2185192 4370384 5189831 8740768 10379662 20759324 41518648 74023379 83037296 148046758 166074592 296093516 592187032 1184374064 1406444201 2368748128 2812888402 5625776804 11251553608 22503107216 45006214432