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25443913286416 = 2419231221412
BaseRepresentation
bin1011100100100000111110…
…11010011100001100010000
310100002102012001202002100011
411302100133122130030100
511313333113300131131
6130040434501004304
75234155614325132
oct562203732341420
9110072161662304
1025443913286416
11811a780801a39
122a2b24b0b3694
131127473719181
1463d6c5d95052
152e1cc42d00b1
hex17241f69c310

25443913286416 has 135 divisors (see below), whose sum is σ = 53786359029429. Its totient is φ = 11658145795200.

The previous prime is 25443913286411. The next prime is 25443913286423. The reversal of 25443913286416 is 61468231934452.

The square root of 25443913286416 is 5044196.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 24269377548816 + 1174535737600 = 4926396^2 + 1083760^2 .

It is not an unprimeable number, because it can be changed into a prime (25443913286411) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11884124706 + ... + 11884126846.

Almost surely, 225443913286416 is an apocalyptic number.

25443913286416 is the 5044196-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25443913286416

25443913286416 is an abundant number, since it is smaller than the sum of its proper divisors (28342445743013).

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

25443913286416 is an frugal number, since it uses more digits than its factorization.

25443913286416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4390 (or 2193 counting only the distinct ones).

The product of its digits is 29859840, while the sum is 58.

The spelling of 25443913286416 in words is "twenty-five trillion, four hundred forty-three billion, nine hundred thirteen million, two hundred eighty-six thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 19 31 38 62 76 124 152 248 304 361 496 589 722 961 1178 1444 1922 2141 2356 2888 3844 4282 4712 5776 7688 8564 9424 11191 15376 17128 18259 22382 34256 36518 40679 44764 66371 73036 81358 89528 132742 146072 162716 179056 265484 292144 325432 346921 530968 650864 693842 772901 1061936 1261049 1387684 1545802 2057501 2522098 2775368 3091604 4115002 4583881 5044196 5550736 6183208 8230004 9167762 10088392 12366416 16460008 18335524 20176784 23959931 32920016 36671048 39092519 47919862 73342096 78185038 87093739 95839724 142100311 156370076 174187478 191679448 284200622 312740152 348374956 383358896 568401244 625480304 696749912 742757861 1136802488 1393499824 1485515722 1654781041 2273604976 2699905909 2971031444 3309562082 4405109641 5399811818 5942062888 6619124164 8810219282 10799623636 11884125776 13238248328 17620438564 21599247272 26476496656 35240877128 43198494544 51298212271 70481754256 83697083179 102596424542 167394166358 205192849084 334788332716 410385698168 669576665432 820771396336 1339153330864 1590244580401 3180489160802 6360978321604 12721956643208 25443913286416