Search a number
-
+
19485642420 = 22335172122619
BaseRepresentation
bin10010001001011011…
…110100111010110100
31212021222200012022000
4102021123310322310
5304401311024140
612541312535300
71256605141056
oct221133647264
955258605260
1019485642420
11829a156612
123939851530
131ab6c6673a
14d2bc738d6
15790a18a30
hex4896f4eb4

19485642420 has 96 divisors (see below), whose sum is σ = 64188028800. Its totient is φ = 4890511872.

The previous prime is 19485642313. The next prime is 19485642509. The reversal of 19485642420 is 2424658491.

It is a happy number.

19485642420 is a `hidden beast` number, since 1 + 9 + 48 + 564 + 2 + 42 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1052130 + ... + 1070489.

It is an arithmetic number, because the mean of its divisors is an integer number (668625300).

Almost surely, 219485642420 is an apocalyptic number.

19485642420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19485642420 is an abundant number, since it is smaller than the sum of its proper divisors (44702386380).

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

19485642420 is a wasteful number, since it uses less digits than its factorization.

19485642420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2122654 (or 2122646 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 19485642420 in words is "nineteen billion, four hundred eighty-five million, six hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 85 90 102 108 135 153 170 180 204 255 270 306 340 459 510 540 612 765 918 1020 1530 1836 2295 3060 4590 9180 2122619 4245238 6367857 8490476 10613095 12735714 19103571 21226190 25471428 31839285 36084523 38207142 42452380 57310713 63678570 72169046 76414284 95517855 108253569 114621426 127357140 144338092 180422615 191035710 216507138 229242852 286553565 324760707 360845230 382071420 433014276 541267845 573107130 649521414 721690460 974282121 1082535690 1146214260 1299042828 1623803535 1948564242 2165071380 3247607070 3897128484 4871410605 6495214140 9742821210 19485642420