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19327950625 = 54672832
BaseRepresentation
bin10010000000000010…
…010001111100100001
31211212222221121211011
4102000002101330201
5304040423410000
612513521020521
71252651604164
oct220002217441
954788847734
1019327950625
118219140415
1238b4a84741
131a903a3799
14d14d45adb
15781c6a2ba
hex480091f21

19327950625 has 45 divisors (see below), whose sum is σ = 24817025541. Its totient is φ = 15048066000.

The previous prime is 19327950619. The next prime is 19327950661. The reversal of 19327950625 is 52605972391.

The square root of 19327950625 is 139025.

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

It can be written as a sum of positive squares in 2 ways, for example, as 1515311329 + 17812639296 = 38927^2 + 133464^2 .

It is not a de Polignac number, because 19327950625 - 27 = 19327950497 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 232866834 + ... + 232866916.

Almost surely, 219327950625 is an apocalyptic number.

19327950625 is the 139025-th square number.

19327950625 is the 69513-rd centered octagonal number.

It is an amenable number.

19327950625 is a deficient number, since it is larger than the sum of its proper divisors (5489074916).

19327950625 is an frugal number, since it uses more digits than its factorization.

19327950625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 1020600, while the sum is 49.

Multiplying 19327950625 by its sum of digits (49), we get a square (947069580625 = 9731752).

The spelling of 19327950625 in words is "nineteen billion, three hundred twenty-seven million, nine hundred fifty thousand, six hundred twenty-five".

Divisors: 1 5 25 67 83 125 335 415 625 1675 2075 4489 5561 6889 8375 10375 22445 27805 34445 41875 51875 112225 139025 172225 372587 461563 561125 695125 861125 1862935 2307815 2805625 3475625 4305625 9314675 11539075 30924721 46573375 57695375 154623605 232866875 288476875 773118025 3865590125 19327950625