Search a number
-
+
19556193690 = 2345115937201
BaseRepresentation
bin10010001101101000…
…111101010110011010
31212110220102120110000
4102031220331112122
5310022341144230
612552313033430
71261422621645
oct221550752632
955426376400
1019556193690
118325a63850
1239593b5876
131ac8769157
14d3739aa5c
15796d02b60
hex48da3d59a

19556193690 has 160 divisors (see below), whose sum is σ = 58338688320. Its totient is φ = 4660416000.

The previous prime is 19556193619. The next prime is 19556193697. The reversal of 19556193690 is 9639165591.

It is a happy number.

19556193690 is a `hidden beast` number, since 19 + 5 + 5 + 619 + 3 + 6 + 9 + 0 = 666.

19556193690 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×195561936902 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (19556193697) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 507090 + ... + 544290.

It is an arithmetic number, because the mean of its divisors is an integer number (364616802).

Almost surely, 219556193690 is an apocalyptic number.

19556193690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 19556193690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29169344160).

19556193690 is an abundant number, since it is smaller than the sum of its proper divisors (38782494630).

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

19556193690 is a wasteful number, since it uses less digits than its factorization.

19556193690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37290 (or 37281 counting only the distinct ones).

The product of its (nonzero) digits is 1968300, while the sum is 54.

The spelling of 19556193690 in words is "nineteen billion, five hundred fifty-six million, one hundred ninety-three thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 59 66 81 90 99 110 118 135 162 165 177 198 270 295 297 330 354 405 495 531 590 594 649 810 885 891 990 1062 1298 1485 1593 1770 1782 1947 2655 2970 3186 3245 3894 4455 4779 5310 5841 6490 7965 8910 9558 9735 11682 15930 17523 19470 23895 29205 35046 37201 47790 52569 58410 74402 87615 105138 111603 175230 186005 223206 262845 334809 372010 409211 525690 558015 669618 818422 1004427 1116030 1227633 1674045 2008854 2046055 2194859 2455266 3013281 3348090 3682899 4092110 4389718 5022135 6026562 6138165 6584577 7365798 10044270 10974295 11048697 12276330 13169154 15066405 18414495 19753731 21948590 22097394 24143449 30132810 32922885 33146091 36828990 39507462 48286898 55243485 59261193 65845770 66292182 72430347 98768655 110486970 118522386 120717245 144860694 165730455 177783579 197537310 217291041 241434490 296305965 331460910 355567158 362151735 434582082 592611930 651873123 724303470 888917895 1086455205 1303746246 1777835790 1955619369 2172910410 3259365615 3911238738 6518731230 9778096845 19556193690