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19727203540 = 2251131315657
BaseRepresentation
bin10010010111110101…
…010011110011010100
31212220211012202212011
4102113311103303110
5310400131003130
613021302234004
71265600314642
oct222765236324
955824182764
1019727203540
118403546000
1239a6725904
131b25013005
14d51d94192
157a6d3252a
hex497d53cd4

19727203540 has 96 divisors (see below), whose sum is σ = 45922681728. Its totient is φ = 7117510400.

The previous prime is 19727203537. The next prime is 19727203541. The reversal of 19727203540 is 4530272791.

It is a junction number, because it is equal to n+sod(n) for n = 19727203493 and 19727203502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19727203541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3484392 + ... + 3490048.

It is an arithmetic number, because the mean of its divisors is an integer number (478361268).

Almost surely, 219727203540 is an apocalyptic number.

19727203540 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 19727203540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22961340864).

19727203540 is an abundant number, since it is smaller than the sum of its proper divisors (26195478188).

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

19727203540 is a wasteful number, since it uses less digits than its factorization.

19727203540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5830 (or 5806 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 40.

The spelling of 19727203540 in words is "nineteen billion, seven hundred twenty-seven million, two hundred three thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 131 220 242 262 484 524 605 655 1210 1310 1331 1441 2420 2620 2662 2882 5324 5657 5764 6655 7205 11314 13310 14410 15851 22628 26620 28285 28820 31702 56570 62227 63404 79255 113140 124454 158510 174361 248908 311135 317020 348722 622270 684497 697444 741067 871805 1244540 1368994 1482134 1743610 2737988 2964268 3422485 3487220 3705335 6844970 7410670 7529467 8151737 13689940 14821340 15058934 16303474 30117868 32606948 37647335 40758685 75294670 81517370 89669107 150589340 163034740 179338214 358676428 448345535 896691070 986360177 1793382140 1972720354 3945440708 4931800885 9863601770 19727203540