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147166266768 = 24331223659673
BaseRepresentation
bin1000100100001111001…
…0110000010110010000
3112001212021021221122220
42021003302300112100
54402344031014033
6151335055501040
713426626425223
oct2110362602620
9461767257586
10147166266768
115745a580464
1224631827780
1310b54470c31
1471a12a95ba
153c64e2ebb3
hex2243cb0590

147166266768 has 160 divisors (see below), whose sum is σ = 395388026880. Its totient is φ = 47118274560.

The previous prime is 147166266719. The next prime is 147166266817. The reversal of 147166266768 is 867662661741.

It is an interprime number because it is at equal distance from previous prime (147166266719) and next prime (147166266817).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 218671680 + ... + 218672352.

It is an arithmetic number, because the mean of its divisors is an integer number (2471175168).

Almost surely, 2147166266768 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 147166266768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197694013440).

147166266768 is an abundant number, since it is smaller than the sum of its proper divisors (248221760112).

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

147166266768 is a wasteful number, since it uses less digits than its factorization.

147166266768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1597 (or 1591 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 60.

The spelling of 147166266768 in words is "one hundred forty-seven billion, one hundred sixty-six million, two hundred sixty-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 223 248 372 446 496 659 669 673 744 892 1318 1338 1346 1488 1784 1977 2019 2636 2676 2692 3568 3954 4038 5272 5352 5384 6913 7908 8076 10544 10704 10768 13826 15816 16152 20429 20739 20863 27652 31632 32304 40858 41478 41726 55304 61287 62589 81716 82956 83452 110608 122574 125178 146957 150079 163432 165912 166904 245148 250356 293914 300158 326864 331824 333808 440871 443507 450237 490296 500712 587828 600316 881742 887014 900474 980592 1001424 1175656 1200632 1330521 1763484 1774028 1800948 2351312 2401264 2661042 3526968 3548056 3601896 4555667 4652449 5322084 7053936 7096112 7203792 9111334 9304898 10644168 13667001 13748717 13957347 18222668 18609796 21288336 27334002 27497434 27914694 36445336 37219592 41246151 54668004 54994868 55829388 72890672 74439184 82492302 98902061 109336008 109989736 111658776 164984604 197804122 218672016 219979472 223317552 296706183 329969208 395608244 593412366 659938416 791216488 1186824732 1582432976 2373649464 3065963891 4747298928 6131927782 9197891673 12263855564 18395783346 24527711128 36791566692 49055422256 73583133384 147166266768