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19488214152 = 233211208911779
BaseRepresentation
bin10010001001100101…
…101000110010001000
31212022011111212001100
4102021211220302020
5304402440323102
612541444021400
71256636041611
oct221145506210
955264455040
1019488214152
1182a0652810
12393a691860
131ab7657184
14d2c342c08
15790d75a1c
hex489968c88

19488214152 has 96 divisors (see below), whose sum is σ = 57611268000. Its totient is φ = 5902191360.

The previous prime is 19488214147. The next prime is 19488214183. The reversal of 19488214152 is 25141288491.

19488214152 is a `hidden beast` number, since 1 + 9 + 488 + 2 + 14 + 152 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 19488214098 and 19488214107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1648599 + ... + 1660377.

It is an arithmetic number, because the mean of its divisors is an integer number (600117375).

Almost surely, 219488214152 is an apocalyptic number.

19488214152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19488214152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28805634000).

19488214152 is an abundant number, since it is smaller than the sum of its proper divisors (38123053848).

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

19488214152 is a wasteful number, since it uses less digits than its factorization.

19488214152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13891 (or 13884 counting only the distinct ones).

The product of its digits is 184320, while the sum is 45.

The spelling of 19488214152 in words is "nineteen billion, four hundred eighty-eight million, two hundred fourteen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 2089 4178 6267 8356 11779 12534 16712 18801 22979 23558 25068 35337 37602 45958 47116 50136 68937 70674 75204 91916 94232 106011 129569 137874 141348 150408 183832 206811 212022 259138 275748 282696 388707 413622 424044 518276 551496 777414 827244 848088 1036552 1166121 1554828 1654488 2332242 3109656 4664484 9328968 24606331 49212662 73818993 98425324 147637986 196850648 221456979 270669641 295275972 442913958 541339282 590551944 812008923 885827916 1082678564 1624017846 1771655832 2165357128 2436026769 3248035692 4872053538 6496071384 9744107076 19488214152