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19394461696 = 226172
BaseRepresentation
bin10010000100000000…
…000000000000000000
31212001122002201212011
4102010000000000000
5304204440233241
612524254342304
71254420130051
oct220400000000
955048081764
1019394461696
118252739145
1239131ba994
131aa10c024c
14d1dada728
15787a07281
hex484000000

19394461696 has 81 divisors (see below), whose sum is σ = 41204842189. Its totient is φ = 9126805504.

The previous prime is 19394461621. The next prime is 19394461711. The reversal of 19394461696 is 69616449391.

The square root of 19394461696 is 139264.

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., 15099494400 + 4294967296 = 122880^2 + 65536^2 .

It is a super-2 number, since 2×193944616962 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 19394461696.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1140850680 + ... + 1140850696.

Almost surely, 219394461696 is an apocalyptic number.

19394461696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

19394461696 is the 139264-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19394461696

19394461696 is an abundant number, since it is smaller than the sum of its proper divisors (21810380493).

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

19394461696 is an frugal number, since it uses more digits than its factorization.

19394461696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 19 counting only the distinct ones).

The product of its digits is 7558272, while the sum is 58.

The spelling of 19394461696 in words is "nineteen billion, three hundred ninety-four million, four hundred sixty-one thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 289 512 544 578 1024 1088 1156 2048 2176 2312 4096 4352 4624 8192 8704 9248 16384 17408 18496 32768 34816 36992 65536 69632 73984 131072 139264 147968 262144 278528 295936 524288 557056 591872 1048576 1114112 1183744 2097152 2228224 2367488 4194304 4456448 4734976 8388608 8912896 9469952 16777216 17825792 18939904 33554432 35651584 37879808 67108864 71303168 75759616 142606336 151519232 285212672 303038464 570425344 606076928 1140850688 1212153856 2424307712 4848615424 9697230848 19394461696