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19814503696 = 2413227072
BaseRepresentation
bin10010011101000010…
…010101010100010000
31220010220111002011021
4102131002111110100
5311040003104241
613034101325224
71301010334231
oct223502252420
956126432137
1019814503696
118448852999
123a0ba06814
131b3a12b100
14d5d7db088
157ae8290d1
hex49d095510

19814503696 has 45 divisors (see below), whose sum is σ = 41586249861. Its totient is φ = 9141777216.

The previous prime is 19814503691. The next prime is 19814503727. The reversal of 19814503696 is 69630541891.

The square root of 19814503696 is 140764.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2931139600 + 16883364096 = 54140^2 + 129936^2 .

It is a super-3 number, since 3×198145036963 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (19814503691) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 7318375 + ... + 7321081.

Almost surely, 219814503696 is an apocalyptic number.

19814503696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

19814503696 is the 140764-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19814503696

19814503696 is an abundant number, since it is smaller than the sum of its proper divisors (21771746165).

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

19814503696 is an frugal number, since it uses more digits than its factorization.

19814503696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5448 (or 2722 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 52.

The spelling of 19814503696 in words is "nineteen billion, eight hundred fourteen million, five hundred three thousand, six hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1352 2704 2707 5414 10828 21656 35191 43312 70382 140764 281528 457483 563056 914966 1829932 3659864 7319728 7327849 14655698 29311396 58622792 95262037 117245584 190524074 381048148 762096296 1238406481 1524192592 2476812962 4953625924 9907251848 19814503696