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2131967684 = 2271115744089
BaseRepresentation
bin111111100010011…
…0011111011000100
312111120200011212002
41333010303323010
513331240431214
6551315244432
7103555266140
oct17704637304
95446604762
102131967684
119a4492970
124b5ba9718
1327c901652
1416320c220
15c727e1de
hex7f133ec4

2131967684 has 48 divisors (see below), whose sum is σ = 4681299840. Its totient is φ = 825327360.

The previous prime is 2131967657. The next prime is 2131967689. The reversal of 2131967684 is 4867691312.

It is not an unprimeable number, because it can be changed into a prime (2131967689) 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, 26312 + ... + 70400.

It is an arithmetic number, because the mean of its divisors is an integer number (97527080).

Almost surely, 22131967684 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 2131967684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2340649920).

2131967684 is an abundant number, since it is smaller than the sum of its proper divisors (2549332156).

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

2131967684 is a wasteful number, since it uses less digits than its factorization.

2131967684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44268 (or 44266 counting only the distinct ones).

The product of its digits is 435456, while the sum is 47.

The square root of 2131967684 is about 46173.2355807994. The cubic root of 2131967684 is about 1287.0444291859.

The spelling of 2131967684 in words is "two billion, one hundred thirty-one million, nine hundred sixty-seven thousand, six hundred eighty-four".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 157 308 314 628 1099 1727 2198 3454 4396 6908 12089 24178 44089 48356 88178 176356 308623 484979 617246 969958 1234492 1939916 3394853 6789706 6921973 13579412 13843946 27687892 48453811 76141703 96907622 152283406 193815244 304566812 532991921 1065983842 2131967684