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2213733497472 = 2733791506841
BaseRepresentation
bin100000001101101100110…
…011000111101010000000
321211122000220010111022000
4200031230303013222000
5242232211233404342
64412550343344000
7315636244154220
oct40155463075200
97748026114260
102213733497472
117839259359a2
122b9052a52000
131309a5bc24c3
14792068b4080
153c8b6e9144c
hex2036ccc7a80

2213733497472 has 128 divisors (see below), whose sum is σ = 7466958307200. Its totient is φ = 632495278080.

The previous prime is 2213733497471. The next prime is 2213733497501. The reversal of 2213733497472 is 2747943373122.

2213733497472 is a `hidden beast` number, since 2 + 2 + 13 + 73 + 3 + 4 + 97 + 472 = 666.

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

It is a super-2 number, since 2×22137334974722 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2213733497471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45729229 + ... + 45777612.

It is an arithmetic number, because the mean of its divisors is an integer number (58335611775).

Almost surely, 22213733497472 is an apocalyptic number.

It is an amenable number.

2213733497472 is an abundant number, since it is smaller than the sum of its proper divisors (5253224809728).

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

2213733497472 is an equidigital number, since it uses as much as digits as its factorization.

2213733497472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91506871 (or 91506853 counting only the distinct ones).

The product of its digits is 10668672, while the sum is 54.

The spelling of 2213733497472 in words is "two trillion, two hundred thirteen billion, seven hundred thirty-three million, four hundred ninety-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 288 336 378 384 432 448 504 576 672 756 864 896 1008 1152 1344 1512 1728 2016 2688 3024 3456 4032 6048 8064 12096 24192 91506841 183013682 274520523 366027364 549041046 640547887 732054728 823561569 1098082092 1281095774 1464109456 1647123138 1921643661 2196164184 2470684707 2562191548 2928218912 3294246276 3843287322 4392328368 4941369414 5124383096 5764930983 5856437824 6588492552 7686574644 8784656736 9882738828 10248766192 11529861966 11712875648 13176985104 15373149288 17294792949 17569313472 19765477656 20497532384 23059723932 26353970208 30746298576 34589585898 35138626944 39530955312 40995064768 46119447864 52707940416 61492597152 69179171796 79061910624 81990129536 92238895728 105415880832 122985194304 138358343592 158123821248 184477791456 245970388608 276716687184 316247642496 368955582912 553433374368 737911165824 1106866748736 2213733497472