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4722207148096 = 26614732
BaseRepresentation
bin100010010110111100101…
…1110101100100001000000
3121201102211201212002220121
41010231321132230201000
51104332040012214341
614013204011350024
7665111460323464
oct104557136544100
917642751762817
104722207148096
111560749911319
12643241752314
132833c0ca5399
141247adb084a4
1582c7e95d4d1
hex44b797ac840

4722207148096 has 105 divisors (see below), whose sum is σ = 9659098895505. Its totient is φ = 2290583301120.

The previous prime is 4722207148093. The next prime is 4722207148129. The reversal of 4722207148096 is 6908417022274.

The square root of 4722207148096 is 2173064.

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

It can be written as a sum of positive squares in 7 ways, for example, as 4151976769600 + 570230378496 = 2037640^2 + 755136^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4722207148093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 64687769116 + ... + 64687769188.

Almost surely, 24722207148096 is an apocalyptic number.

4722207148096 is the 2173064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4722207148096

4722207148096 is an abundant number, since it is smaller than the sum of its proper divisors (4936891747409).

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

4722207148096 is an frugal number, since it uses more digits than its factorization.

4722207148096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 52.

The spelling of 4722207148096 in words is "four trillion, seven hundred twenty-two billion, two hundred seven million, one hundred forty-eight thousand, ninety-six".

Divisors: 1 2 4 8 16 32 61 64 73 122 146 244 292 488 584 976 1168 1952 2336 3721 3904 4453 4672 5329 7442 8906 10658 14884 17812 21316 29768 35624 42632 59536 71248 85264 119072 142496 170528 226981 238144 271633 284992 325069 341056 453962 543266 650138 907924 1086532 1300276 1815848 2173064 2600552 3631696 4346128 5201104 7263392 8692256 10402208 13845841 14526784 16569613 17384512 19829209 20804416 27691682 33139226 39658418 55383364 66278452 79316836 110766728 132556904 158633672 221533456 265113808 317267344 443066912 530227616 634534688 886133824 1010746393 1060455232 1209581749 1269069376 2021492786 2419163498 4042985572 4838326996 8085971144 9676653992 16171942288 19353307984 32343884576 38706615968 64687769152 73784486689 77413231936 147568973378 295137946756 590275893512 1180551787024 2361103574048 4722207148096