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19881888832 = 2613127718713
BaseRepresentation
bin10010100001000011…
…011000110001000000
31220022121021121012001
4102201003120301000
5311204230420312
613044505513344
71302456160321
oct224103306100
956277247161
1019881888832
118482898393
123a2a4a2854
131b4b092680
14d6873c448
157b56da057
hex4a10d8c40

19881888832 has 56 divisors (see below), whose sum is σ = 42523522776. Its totient is φ = 9168580608.

The previous prime is 19881888757. The next prime is 19881888889. The reversal of 19881888832 is 23888818891.

It can be written as a sum of positive squares in 4 ways, for example, as 3512221696 + 16369667136 = 59264^2 + 127944^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1053108 + ... + 1071820.

It is an arithmetic number, because the mean of its divisors is an integer number (759348621).

Almost surely, 219881888832 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 19881888832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21261761388).

19881888832 is an abundant number, since it is smaller than the sum of its proper divisors (22641633944).

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

19881888832 is a wasteful number, since it uses less digits than its factorization.

19881888832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20015 (or 20005 counting only the distinct ones).

The product of its digits is 14155776, while the sum is 64.

The spelling of 19881888832 in words is "nineteen billion, eight hundred eighty-one million, eight hundred eighty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 1277 2554 5108 10216 16601 18713 20432 33202 37426 40864 66404 74852 81728 132808 149704 243269 265616 299408 486538 531232 598816 973076 1062464 1197632 1946152 3892304 7784608 15569216 23896501 47793002 95586004 191172008 310654513 382344016 621309026 764688032 1242618052 1529376064 2485236104 4970472208 9940944416 19881888832