Search a number
-
+
19869157764 = 22344121912
BaseRepresentation
bin10010100000010010…
…110100100110000100
31220021201022210110000
4102200102310212010
5311143001022024
613043333001300
71302243024441
oct224022644604
956251283400
1019869157764
118476692345
123a26183230
131b485559b1
14d66b869c8
157b4522cc9
hex4a04b4984

19869157764 has 135 divisors (see below), whose sum is σ = 53519879413. Its totient is φ = 6427684800.

The previous prime is 19869157703. The next prime is 19869157771. The reversal of 19869157764 is 46775196891.

The square root of 19869157764 is 140958.

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., 957407364 + 18911750400 = 30942^2 + 137520^2 .

It is a Duffinian number.

Its product of digits (22861440) is a multiple of the sum of its prime factors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 104026909 + ... + 104027099.

Almost surely, 219869157764 is an apocalyptic number.

19869157764 is the 140958-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19869157764

19869157764 is an abundant number, since it is smaller than the sum of its proper divisors (33650721649).

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

19869157764 is an equidigital number, since it uses as much as digits as its factorization.

19869157764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 237 counting only the distinct ones).

The product of its digits is 22861440, while the sum is 63.

The spelling of 19869157764 in words is "nineteen billion, eight hundred sixty-nine million, one hundred fifty-seven thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 81 82 108 123 162 164 191 246 324 369 382 492 573 738 764 1107 1146 1476 1681 1719 2214 2292 3321 3362 3438 4428 5043 5157 6642 6724 6876 7831 10086 10314 13284 15129 15471 15662 20172 20628 23493 30258 30942 31324 36481 45387 46986 60516 61884 70479 72962 90774 93972 109443 136161 140958 145924 181548 211437 218886 272322 281916 321071 328329 422874 437772 544644 634311 642142 656658 845748 963213 984987 1268622 1284284 1313316 1495721 1926426 1969974 2537244 2889639 2954961 2991442 3852852 3939948 4487163 5779278 5909922 5982884 8668917 8974326 11558556 11819844 13461489 17337834 17948652 26006751 26922978 34675668 40384467 52013502 53845956 61324561 80768934 104027004 121153401 122649122 161537868 183973683 242306802 245298244 367947366 484613604 551921049 735894732 1103842098 1655763147 2207684196 3311526294 4967289441 6623052588 9934578882 19869157764