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19149811488 = 253271992479
BaseRepresentation
bin10001110101011010…
…101110111100100000
31211102120202012212100
4101311122232330200
5303204322431423
612444114530400
71245356466123
oct216532567440
954376665770
1019149811488
118137629895
123865296a00
131a62501902
14cd94143ba
157712cd343
hex4756aef20

19149811488 has 72 divisors (see below), whose sum is σ = 54533606400. Its totient is φ = 6374323584.

The previous prime is 19149811487. The next prime is 19149811529. The reversal of 19149811488 is 88411894191.

19149811488 is a `hidden beast` number, since 1 + 9 + 1 + 498 + 1 + 148 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (19149811487) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 160833 + ... + 253311.

It is an arithmetic number, because the mean of its divisors is an integer number (757411200).

Almost surely, 219149811488 is an apocalyptic number.

19149811488 is a gapful number since it is divisible by the number (18) 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 19149811488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27266803200).

19149811488 is an abundant number, since it is smaller than the sum of its proper divisors (35383794912).

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

19149811488 is a wasteful number, since it uses less digits than its factorization.

19149811488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93214 (or 93203 counting only the distinct ones).

The product of its digits is 663552, while the sum is 54.

The spelling of 19149811488 in words is "nineteen billion, one hundred forty-nine million, eight hundred eleven thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 719 1438 2157 2876 4314 5752 6471 8628 11504 12942 17256 23008 25884 34512 51768 69024 92479 103536 184958 207072 277437 369916 554874 739832 832311 1109748 1479664 1664622 2219496 2959328 3329244 4438992 6658488 8877984 13316976 26633952 66492401 132984802 199477203 265969604 398954406 531939208 598431609 797908812 1063878416 1196863218 1595817624 2127756832 2393726436 3191635248 4787452872 6383270496 9574905744 19149811488