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247002080468 = 221121324197207
BaseRepresentation
bin1110011000001001111…
…0001010010011010100
3212121112222222202122112
43212002132022103110
513021330013033333
6305245435450152
723562641020403
oct3460236122324
9777488882575
10247002080468
1195831264a00
123ba545b6958
131a3a4c55600
14bd525cb63a
156659a36948
hex398278a4d4

247002080468 has 108 divisors (see below), whose sum is σ = 515780405280. Its totient is φ = 103375546560.

The previous prime is 247002080441. The next prime is 247002080471. The reversal of 247002080468 is 864080200742.

It is a super-2 number, since 2×2470020804682 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 34268921 + ... + 34276127.

Almost surely, 2247002080468 is an apocalyptic number.

It is an amenable number.

247002080468 is an abundant number, since it is smaller than the sum of its proper divisors (268778324812).

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

247002080468 is a wasteful number, since it uses less digits than its factorization.

247002080468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7678 (or 7652 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 41.

The spelling of 247002080468 in words is "two hundred forty-seven billion, two million, eighty thousand, four hundred sixty-eight".

Divisors: 1 2 4 11 13 22 26 44 52 121 143 169 242 286 338 419 484 572 676 838 1573 1676 1859 3146 3718 4609 5447 6292 7207 7436 9218 10894 14414 18436 20449 21788 28828 40898 50699 59917 70811 79277 81796 93691 101398 119834 141622 158554 187382 202796 239668 283244 317108 374764 659087 778921 872047 1030601 1217983 1318174 1557842 1744094 2061202 2435966 2636348 3019733 3115684 3488188 4122404 4871932 6039466 8568131 11336611 12078932 13397813 17136262 22673222 26795626 33217063 34272524 39256529 45346444 53591252 66434126 78513058 132868252 147375943 157026116 294751886 365387693 431821819 510334877 589503772 730775386 863643638 1020669754 1461550772 1727287276 2041339508 4750040009 5613683647 9500080018 11227367294 19000160036 22454734588 61750520117 123501040234 247002080468