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1009137965 = 511101389467
BaseRepresentation
bin111100001001100…
…011100100101101
32121022212112001012
4330021203210231
54031314403330
6244045155005
734002350123
oct7411434455
92538775035
101009137965
114786a5320
12241b5ba65
131310b9574
1498049913
155d8d8c95
hex3c26392d

1009137965 has 32 divisors (see below), whose sum is σ = 1340426880. Its totient is φ = 723232000.

The previous prime is 1009137931. The next prime is 1009137989. The reversal of 1009137965 is 5697319001.

1009137965 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1009137965 - 220 = 1008089389 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2160662 + ... + 2161128.

It is an arithmetic number, because the mean of its divisors is an integer number (41888340).

Almost surely, 21009137965 is an apocalyptic number.

It is an amenable number.

1009137965 is a deficient number, since it is larger than the sum of its proper divisors (331288915).

1009137965 is a wasteful number, since it uses less digits than its factorization.

1009137965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973.

The product of its (nonzero) digits is 51030, while the sum is 41.

The square root of 1009137965 is about 31766.9319418794. The cubic root of 1009137965 is about 1003.0367571047.

The spelling of 1009137965 in words is "one billion, nine million, one hundred thirty-seven thousand, nine hundred sixty-five".

Divisors: 1 5 11 55 101 389 467 505 1111 1945 2335 4279 5137 5555 21395 25685 39289 47167 181663 196445 235835 432179 518837 908315 1998293 2160895 2594185 9991465 18347963 91739815 201827593 1009137965