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19235924952 = 23361127307337
BaseRepresentation
bin10001111010100011…
…001110101111011000
31211122120210020022220
4101322203032233120
5303343344044302
612500432344040
71250453443566
oct217243165730
954576706286
1019235924952
1181811a6142
12388a0a5020
131a772c281a
14d06a2ca36
15778b3d4bc
hex47a8cebd8

19235924952 has 128 divisors (see below), whose sum is σ = 49570160640. Its totient is φ = 6218311680.

The previous prime is 19235924951. The next prime is 19235924989. The reversal of 19235924952 is 25942953291.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 19235924895 and 19235924904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19235924951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57079728 + ... + 57080064.

It is an arithmetic number, because the mean of its divisors is an integer number (387266880).

Almost surely, 219235924952 is an apocalyptic number.

19235924952 is a gapful number since it is divisible by the number (12) 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 19235924952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24785080320).

19235924952 is an abundant number, since it is smaller than the sum of its proper divisors (30334235688).

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

19235924952 is a wasteful number, since it uses less digits than its factorization.

19235924952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841 (or 837 counting only the distinct ones).

The product of its digits is 1749600, while the sum is 51.

The spelling of 19235924952 in words is "nineteen billion, two hundred thirty-five million, nine hundred twenty-four thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 61 122 127 183 244 254 307 337 366 381 488 508 614 674 732 762 921 1011 1016 1228 1348 1464 1524 1842 2022 2456 2696 3048 3684 4044 7368 7747 8088 15494 18727 20557 23241 30988 37454 38989 41114 42799 46482 56181 61671 61976 74908 77978 82228 85598 92964 103459 112362 116967 123342 128397 149816 155956 164456 171196 185928 206918 224724 233934 246684 256794 310377 311912 342392 413836 449448 467868 493368 513588 620754 827672 935736 1027176 1241508 2378329 2483016 2610739 4756658 5221478 6310999 7134987 7832217 9513316 10442956 12621998 13139293 14269974 15664434 18932997 19026632 20885912 25243996 26278586 28539948 31328868 37865994 39417879 50487992 52557172 57079896 62657736 75731988 78835758 105114344 151463976 157671516 315343032 801496873 1602993746 2404490619 3205987492 4808981238 6411974984 9617962476 19235924952