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20749813740 = 2235519224711
BaseRepresentation
bin10011010100110010…
…010000011111101100
31222120002102202100000
4103110302100133230
5314443423014430
613310552304300
71333125335535
oct232462203754
958502382300
1020749813740
1188888021a7
1240310a2090
131c58b386c6
14100bb0968c
158169cce60
hex4d4c907ec

20749813740 has 144 divisors (see below), whose sum is σ = 68707941120. Its totient is φ = 5242034880.

The previous prime is 20749813739. The next prime is 20749813789. The reversal of 20749813740 is 4731894702.

20749813740 is a `hidden beast` number, since 20 + 7 + 498 + 137 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20016 + ... + 204695.

It is an arithmetic number, because the mean of its divisors is an integer number (477138480).

Almost surely, 220749813740 is an apocalyptic number.

20749813740 is a gapful number since it is divisible by the number (20) 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 20749813740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34353970560).

20749813740 is an abundant number, since it is smaller than the sum of its proper divisors (47958127380).

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

20749813740 is a wasteful number, since it uses less digits than its factorization.

20749813740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224754 (or 224740 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 20749813740 in words is "twenty billion, seven hundred forty-nine million, eight hundred thirteen thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 81 90 95 108 114 135 162 171 180 190 228 243 270 285 324 342 380 405 486 513 540 570 684 810 855 972 1026 1140 1215 1539 1620 1710 2052 2430 2565 3078 3420 4617 4860 5130 6156 7695 9234 10260 15390 18468 23085 30780 46170 92340 224711 449422 674133 898844 1123555 1348266 2022399 2247110 2696532 3370665 4044798 4269509 4494220 6067197 6741330 8089596 8539018 10111995 12134394 12808527 13482660 17078036 18201591 20223990 21347545 24268788 25617054 30335985 36403182 38425581 40447980 42695090 51234108 54604773 60671970 64042635 72806364 76851162 85390180 91007955 109209546 115276743 121343940 128085270 153702324 182015910 192127905 218419092 230553486 256170540 273023865 345830229 364031820 384255810 461106972 546047730 576383715 691660458 768511620 1037490687 1092095460 1152767430 1383320916 1729151145 2074981374 2305534860 3458302290 4149962748 5187453435 6916604580 10374906870 20749813740