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45186080448 = 263481748857
BaseRepresentation
bin101010000101010011…
…001101111011000000
311022122002120201110010
4222011103031323000
51220020114033243
632431434304520
73156516226605
oct520523157300
9138562521403
1045186080448
1118188401043
128910888140
134351633812
14228926a6ac
151296e48433
hexa854cdec0

45186080448 has 56 divisors (see below), whose sum is σ = 119582104752. Its totient is φ = 15058591744.

The previous prime is 45186080447. The next prime is 45186080453. The reversal of 45186080448 is 84408068154.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 45186080397 and 45186080406.

It is not an unprimeable number, because it can be changed into a prime (45186080447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 900436 + ... + 949292.

Almost surely, 245186080448 is an apocalyptic number.

45186080448 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

45186080448 is an abundant number, since it is smaller than the sum of its proper divisors (74396024304).

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

45186080448 is a wasteful number, since it uses less digits than its factorization.

45186080448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53689 (or 53679 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 48.

The spelling of 45186080448 in words is "forty-five billion, one hundred eighty-six million, eighty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 4817 9634 14451 19268 28902 38536 48857 57804 77072 97714 115608 146571 154144 195428 231216 293142 308288 390856 462432 586284 781712 924864 1172568 1563424 2345136 3126848 4690272 9380544 235344169 470688338 706032507 941376676 1412065014 1882753352 2824130028 3765506704 5648260056 7531013408 11296520112 15062026816 22593040224 45186080448