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160801103424 = 26313109758727
BaseRepresentation
bin1001010111000001111…
…1100001111001000000
3120101001111122102022010
42111300133201321000
510113310040302144
6201512045412520
714421541553463
oct2256037417100
9511044572263
10160801103424
1162217038005
12271b7b6a140
1312218217b10
147ad60892da
1542b1e815b9
hex25707e1e40

160801103424 has 112 divisors (see below), whose sum is σ = 458605542528. Its totient is φ = 49431318528.

The previous prime is 160801103413. The next prime is 160801103461. The reversal of 160801103424 is 424301108061.

It is a junction number, because it is equal to n+sod(n) for n = 160801103391 and 160801103400.

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 15 ways as a sum of consecutive naturals, for example, 2708749 + ... + 2767475.

It is an arithmetic number, because the mean of its divisors is an integer number (4094692344).

Almost surely, 2160801103424 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 160801103424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229302771264).

160801103424 is an abundant number, since it is smaller than the sum of its proper divisors (297804439104).

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

160801103424 is a wasteful number, since it uses less digits than its factorization.

160801103424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59852 (or 59842 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The spelling of 160801103424 in words is "one hundred sixty billion, eight hundred one million, one hundred three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1097 1248 2194 2496 3291 4388 6582 8776 13164 14261 17552 26328 28522 35104 42783 52656 57044 58727 70208 85566 105312 114088 117454 171132 176181 210624 228176 234908 342264 352362 456352 469816 684528 704724 763451 912704 939632 1369056 1409448 1526902 1879264 2290353 2738112 2818896 3053804 3758528 4580706 5637792 6107608 9161412 11275584 12215216 18322824 24430432 36645648 48860864 64423519 73291296 128847038 146582592 193270557 257694076 386541114 515388152 773082228 837505747 1030776304 1546164456 1675011494 2061552608 2512517241 3092328912 3350022988 4123105216 5025034482 6184657824 6700045976 10050068964 12369315648 13400091952 20100137928 26800183904 40200275856 53600367808 80400551712 160801103424