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2993081520 = 2435111387211
BaseRepresentation
bin1011001001100110…
…1100110010110000
321201121000021222010
42302121230302300
522112212102040
61213000042520
7134112526122
oct26231546260
97647007863
102993081520
1112a65754a0
126b6463440
13389131470
14205725212
15127b78e80
hexb266ccb0

2993081520 has 160 divisors (see below), whose sum is σ = 10900802304. Its totient is φ = 669772800.

The previous prime is 2993081491. The next prime is 2993081543. The reversal of 2993081520 is 251803992.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9286 + ... + 77925.

Almost surely, 22993081520 is an apocalyptic number.

2993081520 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 2993081520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5450401152).

2993081520 is an abundant number, since it is smaller than the sum of its proper divisors (7907720784).

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

2993081520 is a wasteful number, since it uses less digits than its factorization.

2993081520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87251 (or 87245 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 2993081520 is about 54709.0625033915. The cubic root of 2993081520 is about 1441.1400308549.

The spelling of 2993081520 in words is "two billion, nine hundred ninety-three million, eighty-one thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 26 30 33 39 40 44 48 52 55 60 65 66 78 80 88 104 110 120 130 132 143 156 165 176 195 208 220 240 260 264 286 312 330 390 429 440 520 528 572 624 660 715 780 858 880 1040 1144 1320 1430 1560 1716 2145 2288 2640 2860 3120 3432 4290 5720 6864 8580 11440 17160 34320 87211 174422 261633 348844 436055 523266 697688 872110 959321 1046532 1133743 1308165 1395376 1744220 1918642 2093064 2267486 2616330 2877963 3401229 3488440 3837284 4186128 4534972 4796605 5232660 5668715 5755926 6802458 6976880 7674568 9069944 9593210 10465320 11337430 11511852 12471173 13604916 14389815 15349136 17006145 18139888 19186420 20930640 22674860 23023704 24942346 27209832 28779630 34012290 37413519 38372840 45349720 46047408 49884692 54419664 57559260 62355865 68024580 74827038 76745680 90699440 99769384 115118520 124711730 136049160 149654076 187067595 199538768 230237040 249423460 272098320 299308152 374135190 498846920 598616304 748270380 997693840 1496540760 2993081520