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48628093132818 = 23217871511785523
BaseRepresentation
bin10110000111010000111000…
…01101111010000000010010
320101011210121102100111000200
423003220130031322000102
522333210313320222233
6251231234304000030
713146156323436303
oct1303503415720022
9211153542314020
1048628093132818
1114549070929341
12555454a000016
1321197c0114a24
14c018800b27aa
15594ddd011313
hex2c3a1c37a012

48628093132818 has 24 divisors (see below), whose sum is σ = 105419828159568. Its totient is φ = 16200293653752.

The previous prime is 48628093132813. The next prime is 48628093132891. The reversal of 48628093132818 is 81823139082684.

48628093132818 is a `hidden beast` number, since 4 + 8 + 6 + 280 + 9 + 313 + 28 + 18 = 666.

It is a super-2 number, since 2×486280931328182 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (48628093132813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 755860596 + ... + 755924927.

It is an arithmetic number, because the mean of its divisors is an integer number (4392492839982).

Almost surely, 248628093132818 is an apocalyptic number.

48628093132818 is an abundant number, since it is smaller than the sum of its proper divisors (56791735026750).

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

48628093132818 is a wasteful number, since it uses less digits than its factorization.

48628093132818 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1511787318 (or 1511787315 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 63.

The spelling of 48628093132818 in words is "forty-eight trillion, six hundred twenty-eight billion, ninety-three million, one hundred thirty-two thousand, eight hundred eighteen".

Divisors: 1 2 3 6 9 18 1787 3574 5361 10722 16083 32166 1511785523 3023571046 4535356569 9070713138 13606069707 27212139414 2701560729601 5403121459202 8104682188803 16209364377606 24314046566409 48628093132818