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20744277760 = 285231734073
BaseRepresentation
bin10011010100011101…
…001000111100000000
31222112201000111101201
4103110131020330000
5314441013342020
613310233510544
71333030310623
oct232435107400
958481014351
1020744277760
118885670a08
12402b272454
131c5794a98b
14100b0a7dba
15816287a0a
hex4d4748f00

20744277760 has 144 divisors (see below), whose sum is σ = 52161931584. Its totient is φ = 7889125376.

The previous prime is 20744277739. The next prime is 20744277779. The reversal of 20744277760 is 6777244702.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 20744277760.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5091084 + ... + 5095156.

It is an arithmetic number, because the mean of its divisors is an integer number (362235636).

Almost surely, 220744277760 is an apocalyptic number.

20744277760 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 20744277760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26080965792).

20744277760 is an abundant number, since it is smaller than the sum of its proper divisors (31417653824).

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

20744277760 is a wasteful number, since it uses less digits than its factorization.

20744277760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4290 (or 4276 counting only the distinct ones).

The product of its (nonzero) digits is 921984, while the sum is 46.

The spelling of 20744277760 in words is "twenty billion, seven hundred forty-four million, two hundred seventy-seven thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 173 184 230 256 320 346 368 460 640 692 736 865 920 1280 1384 1472 1730 1840 2768 2944 3460 3680 3979 4073 5536 5888 6920 7360 7958 8146 11072 13840 14720 15916 16292 19895 20365 22144 27680 29440 31832 32584 39790 40730 44288 55360 63664 65168 79580 81460 93679 110720 127328 130336 159160 162920 187358 221440 254656 260672 318320 325840 374716 468395 509312 521344 636640 651680 704629 749432 936790 1018624 1042688 1273280 1303360 1409258 1498864 1873580 2546560 2606720 2818516 2997728 3523145 3747160 5093120 5213440 5637032 5995456 7046290 7494320 11274064 11990912 14092580 14988640 16206467 22548128 23981824 28185160 29977280 32412934 45096256 56370320 59954560 64825868 81032335 90192512 112740640 119909120 129651736 162064670 180385024 225481280 259303472 324129340 450962560 518606944 648258680 901925120 1037213888 1296517360 2074427776 2593034720 4148855552 5186069440 10372138880 20744277760