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13819721430 = 2351755748649
BaseRepresentation
bin11001101111011100…
…00011011011010110
31022200010020120212110
430313232003123112
5211300322041210
610203152331450
7666315460014
oct146756033326
938603216773
1013819721430
115951966289
122818243b86
1313c316b278
149515898b4
1555d3c2420
hex337b836d6

13819721430 has 64 divisors (see below), whose sum is σ = 35182123200. Its totient is φ = 3462180864.

The previous prime is 13819721369. The next prime is 13819721437. The reversal of 13819721430 is 3412791831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13819721437) 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, 259746 + ... + 308394.

It is an arithmetic number, because the mean of its divisors is an integer number (549720675).

Almost surely, 213819721430 is an apocalyptic number.

13819721430 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 13819721430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17591061600).

13819721430 is an abundant number, since it is smaller than the sum of its proper divisors (21362401770).

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

13819721430 is a wasteful number, since it uses less digits than its factorization.

13819721430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49233.

The product of its (nonzero) digits is 36288, while the sum is 39.

The spelling of 13819721430 in words is "thirteen billion, eight hundred nineteen million, seven hundred twenty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 510 557 1114 1671 2785 3342 5570 8355 9469 16710 18938 28407 47345 48649 56814 94690 97298 142035 145947 243245 284070 291894 486490 729735 827033 1459470 1654066 2481099 4135165 4962198 8270330 12405495 24810990 27097493 54194986 81292479 135487465 162584958 270974930 406462395 460657381 812924790 921314762 1381972143 2303286905 2763944286 4606573810 6909860715 13819721430