Search a number
-
+
19451901320 = 2351923248383
BaseRepresentation
bin10010000111011011…
…000111010110001000
31212012122011222012122
4102013123013112020
5304314141320240
612534105430412
71256015301365
oct220733072610
955178158178
1019451901320
118282100405
12392a49b408
131aacc819a7
14d275ad46c
1578caa14b5
hex4876c7588

19451901320 has 96 divisors (see below), whose sum is σ = 48161433600. Its totient is φ = 7050612096.

The previous prime is 19451901299. The next prime is 19451901323. The reversal of 19451901320 is 2310915491.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19451901323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 377849 + ... + 426231.

It is an arithmetic number, because the mean of its divisors is an integer number (501681600).

Almost surely, 219451901320 is an apocalyptic number.

19451901320 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 19451901320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24080716800).

19451901320 is an abundant number, since it is smaller than the sum of its proper divisors (28709532280).

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

19451901320 is a wasteful number, since it uses less digits than its factorization.

19451901320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48459 (or 48432 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 35.

The spelling of 19451901320 in words is "nineteen billion, four hundred fifty-one million, nine hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 23 38 40 46 76 92 95 115 152 184 190 230 380 437 460 529 760 874 920 1058 1748 2116 2185 2645 3496 4232 4370 5290 8740 10051 10580 17480 20102 21160 40204 48383 50255 80408 96766 100510 193532 201020 241915 387064 402040 483830 919277 967660 1112809 1838554 1935320 2225618 3677108 4451236 4596385 5564045 7354216 8902472 9192770 11128090 18385540 21143371 22256180 25594607 36771080 42286742 44512360 51189214 84573484 102378428 105716855 127973035 169146968 204756856 211433710 255946070 422867420 486297533 511892140 845734840 972595066 1023784280 1945190132 2431487665 3890380264 4862975330 9725950660 19451901320