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19413963556 = 221322322332
BaseRepresentation
bin10010000101001010…
…011001001100100100
31212002222210112101021
4102011022121030210
5304224433313211
612530232340524
71255044652561
oct220512311444
955088715337
1019413963556
118262749189
123919844744
131aa515aa00
14d22535868
157895aa771
hex485299324

19413963556 has 81 divisors (see below), whose sum is σ = 38623711539. Its totient is φ = 8533928832.

The previous prime is 19413963523. The next prime is 19413963557. The reversal of 19413963556 is 65536931491.

It is a happy number.

The square root of 19413963556 is 139334.

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

It can be written as a sum of positive squares in 4 ways, for example, as 8220323556 + 11193640000 = 90666^2 + 105800^2 .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (19413963557) 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 26 ways as a sum of consecutive naturals, for example, 83321616 + ... + 83321848.

Almost surely, 219413963556 is an apocalyptic number.

19413963556 is the 139334-th square number.

It is an amenable number.

19413963556 is a deficient number, since it is larger than the sum of its proper divisors (19209747983).

19413963556 is a wasteful number, since it uses less digits than its factorization.

19413963556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 271 counting only the distinct ones).

The product of its digits is 2624400, while the sum is 52.

The spelling of 19413963556 in words is "nineteen billion, four hundred thirteen million, nine hundred sixty-three thousand, five hundred fifty-six".

Divisors: 1 2 4 13 23 26 46 52 92 169 233 299 338 466 529 598 676 932 1058 1196 2116 3029 3887 5359 6058 6877 7774 10718 12116 13754 15548 21436 27508 39377 54289 69667 78754 89401 108578 123257 139334 157508 178802 217156 246514 278668 357604 493028 705757 905671 1248647 1411514 1602341 1811342 2497294 2823028 3204682 3622684 4994588 6409364 9174841 16232411 18349682 20830433 28718881 32464822 36699364 41660866 57437762 64929644 83321732 114875524 211021343 373345453 422042686 746690906 844085372 1493381812 4853490889 9706981778 19413963556