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2993551621248 = 27359671972099
BaseRepresentation
bin101011100011111101100…
…101001011110010000000
3101121011212202111200202110
4223203331211023302000
5343021243203334443
610211115120215320
7426163666641036
oct53437545136200
911534782450673
102993551621248
11a54615937341
1240420646a540
131893a18b4386
14a4c6272c556
1552d0858d233
hex2b8fd94bc80

2993551621248 has 128 divisors (see below), whose sum is σ = 8207091360000. Its totient is φ = 966296466432.

The previous prime is 2993551621241. The next prime is 2993551621259. The reversal of 2993551621248 is 8421261553992.

2993551621248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×29935516212482 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2993551621241) 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, 531903 + ... + 2504001.

It is an arithmetic number, because the mean of its divisors is an integer number (64117901250).

Almost surely, 22993551621248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2993551621248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4103545680000).

2993551621248 is an abundant number, since it is smaller than the sum of its proper divisors (5213539738752).

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

2993551621248 is a wasteful number, since it uses less digits than its factorization.

2993551621248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1972242 (or 1972230 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 57.

The spelling of 2993551621248 in words is "two trillion, nine hundred ninety-three billion, five hundred fifty-one million, six hundred twenty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 67 96 118 128 134 177 192 201 236 268 354 384 402 472 536 708 804 944 1072 1416 1608 1888 2144 2832 3216 3776 3953 4288 5664 6432 7552 7906 8576 11328 11859 12864 15812 22656 23718 25728 31624 47436 63248 94872 126496 189744 252992 379488 505984 758976 1517952 1972099 3944198 5916297 7888396 11832594 15776792 23665188 31553584 47330376 63107168 94660752 116353841 126214336 132130633 189321504 232707682 252428672 264261266 349061523 378643008 396391899 465415364 528522532 698123046 757286016 792783798 930830728 1057045064 1396246092 1585567596 1861661456 2114090128 2792492184 3171135192 3723322912 4228180256 5584984368 6342270384 7446645824 7795707347 8456360512 11169968736 12684540768 14893291648 15591414694 16912721024 22339937472 23387122041 25369081536 31182829388 44679874944 46774244082 50738163072 62365658776 93548488164 124731317552 187096976328 249462635104 374193952656 498925270208 748387905312 997850540416 1496775810624 2993551621248