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1016775972 = 223228243777
BaseRepresentation
bin111100100110101…
…100010100100100
32121212020120102100
4330212230110210
54040243312342
6244521012100
734124311302
oct7446542444
92555216370
101016775972
11481a41923
12244624030
13132861cb4
1499077272
155e3e6e4c
hex3c9ac524

1016775972 has 18 divisors (see below), whose sum is σ = 2570183798. Its totient is φ = 338925312.

The previous prime is 1016775971. The next prime is 1016775983. The reversal of 1016775972 is 2795776101.

It can be written as a sum of positive squares in only one way, i.e., 756470016 + 260305956 = 27504^2 + 16134^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1016775971) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14121853 + ... + 14121924.

Almost surely, 21016775972 is an apocalyptic number.

1016775972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1016775972 is an abundant number, since it is smaller than the sum of its proper divisors (1553407826).

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

1016775972 is a wasteful number, since it uses less digits than its factorization.

1016775972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28243787 (or 28243782 counting only the distinct ones).

The product of its (nonzero) digits is 185220, while the sum is 45.

The square root of 1016775972 is about 31886.9247811701. The cubic root of 1016775972 is about 1005.5610085264.

The spelling of 1016775972 in words is "one billion, sixteen million, seven hundred seventy-five thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 28243777 56487554 84731331 112975108 169462662 254193993 338925324 508387986 1016775972