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3226495052448 = 2532711135113901
BaseRepresentation
bin101110111100111010000…
…101110110101010100000
3102102110010222200002011100
4232330322011312222200
5410330330213134243
610510121550314400
7452051361303003
oct56747205665240
912373128602140
103226495052448
111034392384a38
124413967b8a00
131a53460348b5
14b223db3753a
1558dddc590d3
hex2ef3a176aa0

3226495052448 has 144 divisors (see below), whose sum is σ = 9306064639872. Its totient is φ = 1060180800000.

The previous prime is 3226495052437. The next prime is 3226495052471. The reversal of 3226495052448 is 8442505946223.

3226495052448 is a `hidden beast` number, since 3 + 2 + 2 + 64 + 9 + 50 + 524 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 3226495052394 and 3226495052403.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 232098298 + ... + 232112198.

It is an arithmetic number, because the mean of its divisors is an integer number (64625448888).

Almost surely, 23226495052448 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 3226495052448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4653032319936).

3226495052448 is an abundant number, since it is smaller than the sum of its proper divisors (6079569587424).

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

3226495052448 is a wasteful number, since it uses less digits than its factorization.

3226495052448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25339 (or 25328 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 54.

The spelling of 3226495052448 in words is "three trillion, two hundred twenty-six billion, four hundred ninety-five million, fifty-two thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 71 72 96 142 144 213 284 288 426 568 639 852 1136 1278 1704 2272 2556 3408 5112 6816 10224 11351 13901 20448 22702 27802 34053 41703 45404 55604 68106 83406 90808 102159 111208 125109 136212 166812 181616 204318 222416 250218 272424 333624 363232 408636 444832 500436 544848 667248 805921 817272 986971 1000872 1089696 1334496 1611842 1634544 1973942 2001744 2417763 2960913 3223684 3269088 3947884 4003488 4835526 5921826 6447368 7253289 7895768 8882739 9671052 11843652 12894736 14506578 15791536 17765478 19342104 23687304 25789472 29013156 31583072 35530956 38684208 47374608 58026312 71061912 77368416 94749216 116052624 142123824 157790251 232105248 284247648 315580502 473370753 631161004 946741506 1262322008 1420112259 1893483012 2524644016 2840224518 3786966024 5049288032 5680449036 7573932048 11203107821 11360898072 15147864096 22406215642 22721796144 33609323463 44812431284 45443592288 67218646926 89624862568 100827970389 134437293852 179249725136 201655940778 268874587704 358499450272 403311881556 537749175408 806623763112 1075498350816 1613247526224 3226495052448