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160878001216 = 2618122772
BaseRepresentation
bin1001010111010100010…
…0110111110001000000
3120101020212100020020111
42111311010313301000
510113434232014331
6201523433521104
714423464306342
oct2256504676100
9511225306214
10160878001216
116225648a4a9
1227219873194
131222b13017a
147b02385292
1542b8ac0db1
hex2575137c40

160878001216 has 63 divisors (see below), whose sum is σ = 322178883327. Its totient is φ = 79705797120.

The previous prime is 160878001201. The next prime is 160878001217. The reversal of 160878001216 is 612100878061.

The square root of 160878001216 is 401096.

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

It can be written as a sum of positive squares in 4 ways, for example, as 119301160000 + 41576841216 = 345400^2 + 203904^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (160878001217) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 580786870 + ... + 580787146.

It is an arithmetic number, because the mean of its divisors is an integer number (5113950529).

Almost surely, 2160878001216 is an apocalyptic number.

160878001216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

160878001216 is the 401096-th square number.

It is an amenable number.

160878001216 is an abundant number, since it is smaller than the sum of its proper divisors (161300882111).

160878001216 is an frugal number, since it uses more digits than its factorization.

160878001216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 40.

Adding to 160878001216 its reverse (612100878061), we get a palindrome (772978879277).

The spelling of 160878001216 in words is "one hundred sixty billion, eight hundred seventy-eight million, one thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 64 181 277 362 554 724 1108 1448 2216 2896 4432 5792 8864 11584 17728 32761 50137 65522 76729 100274 131044 153458 200548 262088 306916 401096 524176 613832 802192 1048352 1227664 1604384 2096704 2455328 3208768 4910656 9074797 13887949 18149594 27775898 36299188 55551796 72598376 111103592 145196752 222207184 290393504 444414368 580787008 888828736 2513718769 5027437538 10054875076 20109750152 40219500304 80439000608 160878001216