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2914639680 = 263519315731
BaseRepresentation
bin1010110110111001…
…1101111101000000
321112010102000222210
42231232131331000
521432121432210
61201114502120
7132141012531
oct25556357500
97463360883
102914639680
111266268a27
12694134940
13375ac8384
141d9146688
15120d31e20
hexadb9df40

2914639680 has 112 divisors (see below), whose sum is σ = 9302520384. Its totient is φ = 773160960.

The previous prime is 2914639669. The next prime is 2914639687. The reversal of 2914639680 is 869364192.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2914639687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177415 + ... + 193145.

Almost surely, 22914639680 is an apocalyptic number.

2914639680 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 2914639680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4651260192).

2914639680 is an abundant number, since it is smaller than the sum of its proper divisors (6387880704).

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

2914639680 is a wasteful number, since it uses less digits than its factorization.

2914639680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15944 (or 15934 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 48.

The square root of 2914639680 is about 53987.4029751386. The cubic root of 2914639680 is about 1428.4387544596.

The spelling of 2914639680 in words is "two billion, nine hundred fourteen million, six hundred thirty-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 193 240 320 386 480 579 772 960 965 1158 1544 1930 2316 2895 3088 3860 4632 5790 6176 7720 9264 11580 12352 15440 15731 18528 23160 30880 31462 37056 46320 47193 61760 62924 78655 92640 94386 125848 157310 185280 188772 235965 251696 314620 377544 471930 503392 629240 755088 943860 1006784 1258480 1510176 1887720 2516960 3020352 3036083 3775440 5033920 6072166 7550880 9108249 12144332 15101760 15180415 18216498 24288664 30360830 36432996 45541245 48577328 60721660 72865992 91082490 97154656 121443320 145731984 182164980 194309312 242886640 291463968 364329960 485773280 582927936 728659920 971546560 1457319840 2914639680