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1009181916 = 22351038253
BaseRepresentation
bin111100001001101…
…110010011011100
32121022221202100000
4330021232103130
54031322310131
6244050134300
734002622221
oct7411562334
92538852300
101009181916
11478725346
12241b81390
13131103582
149805b948
155d8e6ce6
hex3c26e4dc

1009181916 has 36 divisors (see below), whose sum is σ = 2645471192. Its totient is φ = 336393648.

The previous prime is 1009181911. The next prime is 1009181959. The reversal of 1009181916 is 6191819001.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1009181911) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 518155 + ... + 520098.

Almost surely, 21009181916 is an apocalyptic number.

It is an amenable number.

1009181916 is an abundant number, since it is smaller than the sum of its proper divisors (1636289276).

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

1009181916 is a wasteful number, since it uses less digits than its factorization.

1009181916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038272 (or 1038258 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 36.

The square root of 1009181916 is about 31767.6237071645. The cubic root of 1009181916 is about 1003.0513186513.

The spelling of 1009181916 in words is "one billion, nine million, one hundred eighty-one thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 1038253 2076506 3114759 4153012 6229518 9344277 12459036 18688554 28032831 37377108 56065662 84098493 112131324 168196986 252295479 336393972 504590958 1009181916