Search a number
-
+
19762848820 = 225111353130379
BaseRepresentation
bin10010011001111101…
…010010010000110100
31220000022021201222201
4102121331102100310
5310433242130240
613025014234244
71266512305021
oct223175222064
956008251881
1019762848820
118421681910
1239b6655984
131b2c5136b0
14d569d2548
157aa023d9a
hex499f52434

19762848820 has 96 divisors (see below), whose sum is σ = 49677909120. Its totient is φ = 6508469760.

The previous prime is 19762848811. The next prime is 19762848821. The reversal of 19762848820 is 2884826791.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19762848821) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86391 + ... + 216769.

It is an arithmetic number, because the mean of its divisors is an integer number (517478220).

Almost surely, 219762848820 is an apocalyptic number.

19762848820 is a gapful number since it is divisible by the number (10) 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 19762848820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24838954560).

19762848820 is an abundant number, since it is smaller than the sum of its proper divisors (29915060300).

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

19762848820 is a wasteful number, since it uses less digits than its factorization.

19762848820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130465 (or 130463 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 55.

The spelling of 19762848820 in words is "nineteen billion, seven hundred sixty-two million, eight hundred forty-eight thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 53 55 65 106 110 130 143 212 220 260 265 286 530 572 583 689 715 1060 1166 1378 1430 2332 2756 2860 2915 3445 5830 6890 7579 11660 13780 15158 30316 37895 75790 130379 151580 260758 521516 651895 1303790 1434169 1694927 2607580 2868338 3389854 5736676 6779708 6910087 7170845 8474635 13820174 14341690 16949270 18644197 27640348 28683380 33898540 34550435 37288394 69100870 74576788 76010957 89831131 93220985 138201740 152021914 179662262 186441970 304043828 359324524 372883940 380054785 449155655 760109570 898311310 988142441 1520219140 1796622620 1976284882 3952569764 4940712205 9881424410 19762848820