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19442680800 = 253528101117
BaseRepresentation
bin10010000110110111…
…111100001111100000
31212011222211112000220
4102012313330033200
5304304311241200
612533140043040
71255544026404
oct220667741740
955158745026
1019442680800
118277982944
123927393480
131aab0a3b6a
14d2628d104
1578bd7e4a0
hex486dfc3e0

19442680800 has 72 divisors (see below), whose sum is σ = 63285933816. Its totient is φ = 5184714240.

The previous prime is 19442680787. The next prime is 19442680813. The reversal of 19442680800 is 808624491.

It is an interprime number because it is at equal distance from previous prime (19442680787) and next prime (19442680813).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4048159 + ... + 4052958.

It is an arithmetic number, because the mean of its divisors is an integer number (878971303).

Almost surely, 219442680800 is an apocalyptic number.

19442680800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19442680800 is an abundant number, since it is smaller than the sum of its proper divisors (43843253016).

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

19442680800 is a wasteful number, since it uses less digits than its factorization.

19442680800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8101140 (or 8101127 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The spelling of 19442680800 in words is "nineteen billion, four hundred forty-two million, six hundred eighty thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 8101117 16202234 24303351 32404468 40505585 48606702 64808936 81011170 97213404 121516755 129617872 162022340 194426808 202527925 243033510 259235744 324044680 388853616 405055850 486067020 607583775 648089360 777707232 810111700 972134040 1215167550 1296178720 1620223400 1944268080 2430335100 3240446800 3888536160 4860670200 6480893600 9721340400 19442680800