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1055167168 = 26113893853
BaseRepresentation
bin111110111001001…
…001001011000000
32201112111001020111
4332321021023000
54130110322133
6252411521104
735101526056
oct7671111300
92645431214
101055167168
114a1683790
12255459194
1313a7b4493
14a01cc1d6
156297c1cd
hex3ee492c0

1055167168 has 56 divisors (see below), whose sum is σ = 2290663440. Its totient is φ = 478264320.

The previous prime is 1055167163. The next prime is 1055167177. The reversal of 1055167168 is 8617615501.

It is a super-2 number, since 2×10551671682 = 2226755504850280448, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1055167168.

It is not an unprimeable number, because it can be changed into a prime (1055167163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 271930 + ... + 275782.

Almost surely, 21055167168 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 1055167168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1145331720).

1055167168 is an abundant number, since it is smaller than the sum of its proper divisors (1235496272).

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

1055167168 is a wasteful number, since it uses less digits than its factorization.

1055167168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4265 (or 4255 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 40.

The square root of 1055167168 is about 32483.3367744140. The cubic root of 1055167168 is about 1018.0608962302.

The spelling of 1055167168 in words is "one billion, fifty-five million, one hundred sixty-seven thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 389 704 778 1556 3112 3853 4279 6224 7706 8558 12448 15412 17116 24896 30824 34232 42383 61648 68464 84766 123296 136928 169532 246592 273856 339064 678128 1356256 1498817 2712512 2997634 5995268 11990536 16486987 23981072 32973974 47962144 65947948 95924288 131895896 263791792 527583584 1055167168