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19092606976 = 2121721272
BaseRepresentation
bin10001110010000000…
…100001000000000000
31211021121002221000201
4101302000201000000
5303100201410401
612434312454544
71244063324122
oct216200410000
954247087021
1019092606976
118108308233
12384a0aa454
131a536c31a1
14cd19a3212
1576b27db01
hex472021000

19092606976 has 117 divisors (see below), whose sum is σ = 40880453709. Its totient is φ = 8914010112.

The previous prime is 19092606971. The next prime is 19092606989. The reversal of 19092606976 is 67960629091.

The square root of 19092606976 is 138176.

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., 14864486400 + 4228120576 = 121920^2 + 65024^2 .

It is a super-2 number, since 2×190926069762 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (19092606971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 150335425 + ... + 150335551.

Almost surely, 219092606976 is an apocalyptic number.

19092606976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

19092606976 is the 138176-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19092606976

19092606976 is an abundant number, since it is smaller than the sum of its proper divisors (21787846733).

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

19092606976 is an frugal number, since it uses more digits than its factorization.

19092606976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 55.

The spelling of 19092606976 in words is "nineteen billion, ninety-two million, six hundred six thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 127 128 136 254 256 272 289 508 512 544 578 1016 1024 1088 1156 2032 2048 2159 2176 2312 4064 4096 4318 4352 4624 8128 8636 8704 9248 16129 16256 17272 17408 18496 32258 32512 34544 34816 36703 36992 64516 65024 69088 69632 73406 73984 129032 130048 138176 146812 147968 258064 260096 274193 276352 293624 295936 516128 520192 548386 552704 587248 591872 1032256 1096772 1105408 1174496 1183744 2064512 2193544 2210816 2348992 4129024 4387088 4421632 4661281 4697984 8258048 8774176 8843264 9322562 9395968 16516096 17548352 18645124 18791936 33032192 35096704 37290248 37583872 66064384 70193408 74580496 75167744 140386816 149160992 150335488 280773632 298321984 561547264 596643968 1123094528 1193287936 2386575872 4773151744 9546303488 19092606976