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8109619968 = 28367173911
BaseRepresentation
bin1111000110101111…
…01111101100000000
3202221011200101020010
413203113233230000
5113102030314333
63420413144520
7404651426622
oct74327575400
922834611203
108109619968
11349173a56a
1216a3a8b140
139c31744c8
1456d080c12
15326e50563
hex1e35efb00

8109619968 has 144 divisors (see below), whose sum is σ = 22056362496. Its totient is φ = 2644561920.

The previous prime is 8109619963. The next prime is 8109619981. The reversal of 8109619968 is 8699169018.

It is not an unprimeable number, because it can be changed into a prime (8109619963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8901433 + ... + 8902343.

It is an arithmetic number, because the mean of its divisors is an integer number (153169184).

Almost surely, 28109619968 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 8109619968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11028181248).

8109619968 is an abundant number, since it is smaller than the sum of its proper divisors (13946742528).

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

8109619968 is a wasteful number, since it uses less digits than its factorization.

8109619968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1170 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 57.

The square root of 8109619968 is about 90053.4284078069. The cubic root of 8109619968 is about 2009.0935879971.

The spelling of 8109619968 in words is "eight billion, one hundred nine million, six hundred nineteen thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 128 134 173 192 201 256 268 346 384 402 519 536 692 768 804 911 1038 1072 1384 1608 1822 2076 2144 2733 2768 3216 3644 4152 4288 5466 5536 6432 7288 8304 8576 10932 11072 11591 12864 14576 16608 17152 21864 22144 23182 25728 29152 33216 34773 43728 44288 46364 51456 58304 61037 66432 69546 87456 92728 116608 122074 132864 139092 157603 174912 183111 185456 233216 244148 278184 315206 349824 366222 370912 472809 488296 556368 630412 699648 732444 741824 945618 976592 1112736 1260824 1464888 1483648 1891236 1953184 2225472 2521648 2929776 2967296 3782472 3906368 4450944 5043296 5859552 7564944 7812736 8901888 10086592 10559401 11719104 15129888 15625472 20173184 21118802 23438208 30259776 31678203 40346368 42237604 46876416 60519552 63356406 84475208 121039104 126712812 168950416 253425624 337900832 506851248 675801664 1013702496 1351603328 2027404992 2703206656 4054809984 8109619968