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2028137847408 = 2432191933840821
BaseRepresentation
bin11101100000110110011…
…011111001101001110000
321011212222102011121012200
4131200312123321221300
5231212111242104113
64151414052423200
7266346101155431
oct35406633715160
97155872147180
102028137847408
11712145a3a032
12289097317b00
13119338bb771a
147023b883488
1537b533c2873
hex1d8366f9a70

2028137847408 has 120 divisors (see below), whose sum is σ = 6005662912080. Its totient is φ = 637145948160.

The previous prime is 2028137847353. The next prime is 2028137847409. The reversal of 2028137847408 is 8047487318202.

2028137847408 is a `hidden beast` number, since 2 + 0 + 28 + 137 + 84 + 7 + 408 = 666.

It is a super-2 number, since 2×20281378474082 (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2028137847409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1392363 + ... + 2448458.

It is an arithmetic number, because the mean of its divisors is an integer number (50047190934).

Almost surely, 22028137847408 is an apocalyptic number.

It is an amenable number.

2028137847408 is an abundant number, since it is smaller than the sum of its proper divisors (3977525064672).

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

2028137847408 is a wasteful number, since it uses less digits than its factorization.

2028137847408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3841047 (or 3841038 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The spelling of 2028137847408 in words is "two trillion, twenty-eight billion, one hundred thirty-seven million, eight hundred forty-seven thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 193 228 304 342 386 456 579 684 772 912 1158 1368 1544 1737 2316 2736 3088 3474 3667 4632 6948 7334 9264 11001 13896 14668 22002 27792 29336 33003 44004 58672 66006 88008 132012 176016 264024 528048 3840821 7681642 11522463 15363284 23044926 30726568 34567389 46089852 61453136 69134778 72975599 92179704 138269556 145951198 184359408 218926797 276539112 291902396 437853594 553078224 583804792 656780391 741278453 875707188 1167609584 1313560782 1482556906 1751414376 2223835359 2627121564 2965113812 3502828752 4447670718 5254243128 5930227624 6671506077 8895341436 10508486256 11860455248 13343012154 14084290607 17790682872 26686024308 28168581214 35581365744 42252871821 53372048616 56337162428 84505743642 106744097232 112674324856 126758615463 169011487284 225348649712 253517230926 338022974568 507034461852 676045949136 1014068923704 2028137847408